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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Lee, J.; Murty, M. Ram, An application of Mumford's gap principle, J. Number Theory, 105, 333-343, (2004) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Heights, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Varieties over global fields, Rational points, Diophantine equations in many variables, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Counting solutions of Diophantine equations, Heights, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Zhang, S: Geometry of algebraic points. In: Yang, L., Yau, S.T. (eds.) First International Congress of Chinese Mathematicians, Beijing, 1998. AMS/IP Stud. Adv. Math., vol. 20, pp. 185-198. American Mathematical Society/International Press, Providence, RI (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Varieties over global fields, Heights, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Heights, Schmidt Subspace Theorem and applications, Divisors, linear systems, invertible sheaves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic manifolds
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Yang, T.-H.: Faltings heights and the derivative of Zagier's Eisenstein series. Hegner Points and Rankin L-series. Mathematical Sciences Research Institute Publications, vol. 49, pp. 271-284. Cambridge University Press, Cambridge (2004) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Holomorphic modular forms of integral weight
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Habegger, P, Small height and infinite non-abelian extensions, Duke Math. J., 162, 1895-2076, (2013) Heights, Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic theory of abelian varieties, Elliptic curves over global fields, Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Model theory (number-theoretic aspects)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Riemann-Roch theorems, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Habegger, P., Intersecting subvarities of abelian varieties with algebraic subgroups of complementary dimension, Invent. Math., 176, 405-447, (2009) Arithmetic ground fields for abelian varieties, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Algebraic theory of abelian varieties, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields E. Peyre, ''Terme principal de la fonction zêta des hauteurs et torseurs universels,'' in Nombre et Répartition de Points de Hauteur Bornée, , 1998, vol. 251, pp. 259-298. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Picard groups, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields C. Christensen, W. Gubler, Der relative Satz von Schanuel. Manuscripta Math. 126 (2008), 505-525. Zbl1155.11034 MR2425438 Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Local ground fields in algebraic geometry, Heights, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tamvakis H.: Height formulas for homogeneous varieties. Mich. Math. J. 48, 593--610 (2000) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Grassmannians, Schubert varieties, flag manifolds
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Peyre, E.; Tschinkel, Y., \textit{Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, Math. Comp., 70, 367-387, (2001) Rational points, Fano varieties, Heights, Cubic and quartic Diophantine equations, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Habegger, P., Intersecting subvarieties of \({\mathbf G}^n_m\) with algebraic subgroups, Math. Ann., 0025-5831, 342, 2, 449-466, (2008) Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bombieri, E., Masser, D., Zannier, U.: Anomalous subvarieties--structure theorems and applications. Int. Math. Res. Not. \textbf{2007}: Article ID rnm057 (2007) Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Annette Werner, Local heights on abelian varieties and rigid analytic uniformization, Doc. Math. 3 (1998), 301 -- 319. Heights, Varieties over finite and local fields, Local ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Perrin-Riou, B.: Théorie d'Iwasawa et hauteurs p-adiques. Invent. Math. 109(1), 137--185 (1992) Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Iwasawa theory, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Toric varieties, Newton polyhedra, Okounkov bodies, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Mixed volumes and related topics in convex geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Gubler, W., \textit{equidistribution over function fields}, Manuscripta Math., 127, 485-510, (2008) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Riemann-Roch theorems, Global ground fields in algebraic geometry, Arithmetic dynamics on general algebraic varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Results involving abelian varieties, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. Moriwaki, Adelic divisors on arithmetic varieties, Mem. Amer. Math. Soc. 242, no. 1144, American Mathematical Society, Providence, R.I., 2016 Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Proceedings, conferences, collections, etc. pertaining to number theory, Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Varieties over finite and local fields, Heights, Estimates on exponential sums, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Arithmetic ground fields (finite, local, global) and families or fibrations, Arcs and motivic integration, Arithmetic varieties and schemes; Arakelov theory; heights, Representations of Lie and linear algebraic groups over local fields, Proceedings of conferences of miscellaneous specific interest
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Wei Pin Wong, On the average value of the canonical height in higher dimensional families of elliptic curves, Acta Arith. 166 (2014), no. 2, 101 -- 128. Elliptic curves over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Moduli, classification: analytic theory; relations with modular forms, Isogeny
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Abelian varieties of dimension \(> 1\), Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields D. Bertrand, ''Hauteurs et isogénies,'' Astérisque, vol. 183, pp. 107-125, 1990. Elliptic curves over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Isogeny
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Strauch M., Tschinkel Y.: Height zeta functions of toric bundles over flag varieties. Selecta Math. 5, 352--396 (1999) Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights, Rational points, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields S. Lang : Les formes bilinéaires de Néron et Tate . Sém. Bourbaki, 16e année (1963/4), No. 274. Global ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields J. H. Silverman, Height bounds and preperiodic points for families of jointly regular affine maps, Pure Appl. Math. Q. 2 (2006), no. 1, Special Issue: In honor of John H. Coates. Part 1, 135--145. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Birational automorphisms, Cremona group and generalizations, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kai Köhler and Damian Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. I. Statement and proof, Invent. Math. 145 (2001), no. 2, 333 -- 396. , https://doi.org/10.1007/s002220100151 K. Köhler and D. Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. II. A residue formula, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 1, 81 -- 103 (English, with English and French summaries). Christian Kaiser and Kai Köhler, A fixed point formula of Lefschetz type in Arakelov geometry. III. Representations of Chevalley schemes and heights of flag varieties, Invent. Math. 147 (2002), no. 3, 633 -- 669. Arithmetic varieties and schemes; Arakelov theory; heights, Grassmannians, Schubert varieties, flag manifolds, Determinants and determinant bundles, analytic torsion, Representation theory for linear algebraic groups, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Le Rudulier, C.: Points algébriques de hauteur bornée sur la droite projective. J. théor. Nombres Bordeaux 26, No. 3 (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights, Global ground fields in algebraic geometry, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Checcoli, Sara; Veneziano, Francesco; Viada, Evelina, On torsion anomalous intersections, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 1120-6330, 25, 1, 1-36, (2014) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Francesco Amoroso and Sinnou David, Minoration de la hauteur normalisée dans un tore, J. Inst. Math. Jussieu 2 (2003), no. 3, 335 -- 381 (French, with English and French summaries). Heights, Abelian varieties of dimension \(> 1\), Results involving abelian varieties, Transcendence (general theory), Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Hyperbolic and Kobayashi hyperbolic manifolds, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Soulé, C., Hermitian vector bundles on arithmetic varieties, (Algebraic Geometry--Santa Cruz 1995. Algebraic Geometry--Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62(1), (1997), Amer. Math. Soc.: Amer. Math. Soc. Providence, RI), 383-419 Arithmetic varieties and schemes; Arakelov theory; heights, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Heights, Lattices and convex bodies (number-theoretic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Riemann-Roch theorems, Riemann-Roch theorems, Chern characters, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Vanishing theorems, Currents in global analysis
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Counting solutions of Diophantine equations, Quadratic forms over global rings and fields, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Amoroso, F.; David, S., Le problème de Lehmer en dimension supérieure, J. Reine Angew. Math., 513, 145-179, (1999) Heights, Results involving abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields P. Habegger, \textit{On the bounded height conjecture}, Int. Math. Res. Notices \textbf{2009} (2009), 860-886. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Group varieties, Varieties over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields J. Pineiro, L. Szpiro, and T. J. Tucker, ''Mahler measure for dynamical systems on \({\mathbb P}^1\) and intersection theory on a singular arithmetic surface,'' in Geometric Methods in Algebra and Number Theory, Boston, MA: Birkhäuser, 2005, vol. 235, pp. 219-250. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields External book reviews, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Arcs and motivic integration, Étale and other Grothendieck topologies and (co)homologies, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Models of other mathematical theories, Collections of articles of miscellaneous specific interest
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Antoine Chambert-Loir and Yuri Tschinkel, Fonctions zêta des hauteurs des espaces fibrés, Rational points on algebraic varieties, Progr. Math., vol. 199, Birkhäuser, Basel, 2001, pp. 71-115 (French, with English summary). Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Heights, Varieties over global fields, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Lattices and convex bodies (number-theoretic aspects), Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields P. Michel and E. Ullmo, ''Points de petite hauteur sur les courbes modulaires \(X_0(N)\),'' Invent. Math., vol. 131, iss. 3, pp. 645-674, 1998. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tanimoto, S; Tschinkel, Y, Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups, (2012), Providence, RI Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Varieties over global fields, Heights, Representation-theoretic methods; automorphic representations over local and global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Habegger, P., \textit{singular moduli that are algebraic units}, Algebra Number Theory, 9, 1515-1524, (2015) Arithmetic aspects of modular and Shimura varieties, Heights, Linear forms in logarithms; Baker's method, Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Complex multiplication and moduli of abelian varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Amoroso, F.: On the Mahler measure in several variable, Bull. lond. Math. soc. 40, 619-630 (2008) Heights, Polynomials (irreducibility, etc.), Transcendence (general theory), Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. Levin, Vojta's inequality and rational and integral points of bounded degree on curves, Compos. Math. 143 (2007), no. 1, 73-81. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Galateau, Aurélien, Une minoration du minimum essentiel sur les variétés abéliennes, Comment. Math. Helv., 85, 4, 775-812, (2010) Results involving abelian varieties, Abelian varieties of dimension \(> 1\), Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kawaguchi S, Some remarks on rational periodic points,Math. Res. Lett. 6 (1999) 495--509 Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Moret-Bailly, L., Hauteurs et classes de Chern sur LES surfaces arithmétiques, Astérisque, 183, 37-58, (1990) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic), Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. Moriwaki, Zariski decompositions on arithmetic surfaces, Publ. Res. Inst. Math. Sci. 48 (2012), no. 4, 799-898. Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rodríguez Villegas, F; Voloch, JF; Zagier, D, Constructions of plane curves with many points, Acta Arith., 99, 85-96, (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields V.\ V. Batyrev and Y.\ I. Manin, Sur le nombre des points rationnels de hauteur borné des variétés algébriques, Math. Ann. 286 (1990), no. 1-3, 27-43. Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights, Global ground fields in algebraic geometry, Divisors, linear systems, invertible sheaves, Rational points, Fano varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic aspects of modular and Shimura varieties, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Isogeny
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields J. S. Balakrishnan, A. Besser, and J. S. Müller, Computing integral points on hyperelliptic curves using quadratic Chabauty, Math. Comp. 86 (2017), 1403--1434. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Computer solution of Diophantine equations, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Divisors, linear systems, invertible sheaves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Noncommutative algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields doi:10.1112/jlms/jdq097 Dynamical systems over global ground fields, Arithmetic properties of periodic points, Varieties over global fields, Heights, Distribution modulo one, Linear forms in logarithms; Baker's method, Rational points, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Maeda, H.: Wild singularities of the Fermat curve over Z. Algebra, arithmetic and geometry with applications (Papers from shreeram S. Abhyankars 70th birthday conference), 609-618 (2004) Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Singularities of curves, local rings, Arithmetic ground fields for curves
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Hypersurfaces and algebraic geometry, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Counting solutions of Diophantine equations, Rational points, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elliptic curves over global fields, Heights, Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Conrad, Brian, Chow's {\(K/k\)}-image and {\(K/k\)}-trace, and the {L}ang-{N}éron theorem, Enseign. Math. (2). L'Enseignement Mathématique. Revue Internationale. 2e Série, 52, 37-108, (2006) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Algebraic theory of abelian varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Cohomology of arithmetic groups, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Families, moduli of curves (algebraic)
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Approximation to algebraic numbers, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Arithmetic varieties and schemes; Arakelov theory; heights, Research exposition (monographs, survey articles) pertaining to number theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields S.W. Zhang, \textit{Gross-Schoen Cycles and Dualising Sheaves}, \textit{Invent. Math.}\textbf{179} 1 [arXiv:0812.0371]. Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Silverman, J. H., \textit{arithmetic distance functions and height functions in Diophantine geometry}, Math. Ann., 279, 193-216, (1987) Global ground fields in algebraic geometry, Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry (2011) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Arcs and motivic integration, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Models of other mathematical theories, Collections of articles of miscellaneous specific interest
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, Global ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pontreau, C.: Minoration effective de la hauteur des points d'une courbe de gm2 définie sur Q. Acta arith. 120, No. 1, 1-26 (2005) Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Robin de Jong, Symmetric roots and admissible pairing, Trans. Amer. Math. Soc. 363 (2011), no. 8, 4263 -- 4283. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Autissier, Pascal, Hauteur de Faltings et hauteur de Néron-Tate du diviseur thêta, Compos. Math., 142, 6, 1451-1458, (2006) Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Perrin-Riou, Descente infinie et hauteur p-adique sur les courbes elliptiques á multiplication complexe, Invent. Math. 70 pp 369-- (1982) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, Heights, Complex multiplication and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Galois representations
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Rigid analytic geometry, Heights, Algebraic functions and function fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Heights, \(K3\) surfaces and Enriques surfaces, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Besser, A., \textit{ \textit{p}-adic Arakelov theory}, J. Number Theory, 111, 318-371, (2005) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Local ground fields in algebraic geometry
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Elliptic curves over global fields, Rational points, Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights, Enumerative problems (combinatorial problems) in algebraic geometry, Lattice packing and covering (number-theoretic aspects)
| 0
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Koshikawa, T.: On heights of motives with semi-stable reduction, preprint (2015), arXiv:1505.01873 Arithmetic varieties and schemes; Arakelov theory; heights, (Equivariant) Chow groups and rings; motives, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields A. Moriwaki, Arithmetic height functions over finitely generated fields, Invent. Math. 140 (2000), 101-142. Heights, Abelian varieties of dimension \(> 1\), Varieties over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields [2] Autissier (P.).-- Points entiers sur les surfaces arithmétiques, Journal für die reine und angewandte Mathematik 531, 201-235 (2001). &MR~18 | &Zbl~1007. Heights, Arithmetic varieties and schemes; Arakelov theory; heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Maillot, V.; Rössler, D., Conjectures sur LES dérivés logarithmiques des fonctions L d'Artin aux entiers négatifs, Math. Res. Lett., 9, 715-724, (2002) Arithmetic varieties and schemes; Arakelov theory; heights, Other Dirichlet series and zeta functions, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Arithmetic aspects of modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights, Modular and Shimura varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
| 0
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Research exposition (monographs, survey articles) pertaining to number theory
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Proceedings, conferences, collections, etc. pertaining to number theory, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Abelian varieties of dimension \(> 1\), Heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Proceedings of conferences of miscellaneous specific interest
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Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental number theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic varieties and schemes; Arakelov theory; heights, Heights
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