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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, Isogeny, Subvarieties of 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 Nekovář, J., \textit{p}-adic Abel-Jacobi maps and \textit{p}-adic heights, The Arithmetic and Geometry of Algebraic Cycles (Banff, AB, 1998), 24, 367-379, (2000), American Mathematical Society, Providence, RI Arithmetic varieties and schemes; Arakelov theory; heights, \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, Algebraic cycles, 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. Ghioca, L.-C. H'sia and T. Tucker, \textit{Preperiodic points for families of rational maps}, Proceedings of the London Mathematical Society, to appear. Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, 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 Baker, M., Faber, X.: Metrized graphs, Laplacian operators, and electrical networks, \textit{Contemporary Mathematics 415}. In: Proceedings of the Joint Summer Research Conference on Quantum Graphs and Their Applications; Berkolaiko, G; Carlson, R; Fulling, S. A.; Kuchment, P. Snowbird, Utah, 2006, pp. 15-33. Algebraic cycles, 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 Salberger, P., Tamagawa measures on universal torsors and points of bounded height on Fano varieties, Nombre et répartition de points de hauteur bornée, Paris, 1996, Astérisque, 251, 91-258, (1998) Rational points, Fano varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in 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 Heights, Holomorphic modular forms of integral weight, 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 Moriwaki, A.: The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field. J reine angew math 530, 33-54 (2001) 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 [1]M. Baker, A lower bound for average values of dynamical Green's functions, Math. Res. Lett. 13 (2006), 245--257. 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, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 S. S. Kudla, M. Rapoport, and T. Yang, ''Derivatives of Eisenstein series and Faltings heights,'' Compos. Math., vol. 140, iss. 4, pp. 887-951, 2004. Arithmetic aspects of modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Fourier coefficients of automorphic forms, Heights, Modular and Shimura varieties, Forms of half-integer weight; nonholomorphic modular forms
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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 Éric Gaudron, Géométrie des nombres adélique et lemmes de Siegel généralisés, Manuscr. Math.130 (2009), p. 159-182 Approximation to algebraic numbers, Lattices and convex bodies (number-theoretic aspects), 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 Yuan, X.: Algebraic dynamics, canonical heights and Arakelov geometry. In: Fifth International Congress of Chinese Mathematicians. Part 1, 2, 893-929, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Am. Math. Soc., Providence, RI (2012) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic and non-Archimedean dynamical systems, 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 10.1007/s00229-011-0455-8 Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic aspects of modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 Checcoli, Sara; Viada, Evelina, On the torsion anomalous conjecture in CM abelian varieties, Pacific J. Math., 0030-8730, 271, 2, 321-345, (2014) 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 Silverman, J. H., Height estimates for equidimensional dominant rational maps, J. Ramanujan Math. Soc., 26, 145-163, (2011) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine inequalities
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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 \textsc{R. Rumely}, On Bilu's equidistribution theorem, In: Spectral Problems in Geometry and Arithmetic (Iowa City, IA, 1997), 159-166, Contemp. Math., 237, Amer. Math. Soc., Providence, RI, 1999. 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 Francesco Amoroso and Sinnou David, Points de petite hauteur sur une sous-variété d'un tore, Compos. Math. 142 (2006), no. 3, 551 -- 562 (French, with English and French summaries). 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 aspects of modular and Shimura varieties, Heights, Model theory (number-theoretic aspects), 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 Jean-Benoît Bost, Henri Gillet, and Christophe Soulé, Un analogue arithmétique du théorème de Bézout, C. R. Acad. Sci. Paris Sér. I Math. 312 (1991), no. 11, 845 -- 848 (French, with English summary). Arithmetic varieties and schemes; Arakelov theory; heights, Intersection theory, characteristic classes, intersection multiplicities in 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, 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 de Jong, R.: Admissible constants for genus two curves. Bull. LMS \textbf{42}, 405-411 (2010) Curves over finite and local fields, 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 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 Ivan Kausz, A discriminant and an upper bound for \?² for hyperelliptic arithmetic surfaces, Compositio Math. 115 (1999), no. 1, 37 -- 69. Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves, 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 Stoll M., On the height constant for curves of genus two. II, Acta Arith. 104 (2002), 165-182. Heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rigid analytic geometry, 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 Kawaguchi, Shu, Introduction to algebraic and arithmetic dynamics---a survey.Algebraic number theory and related topics 2009, RIMS Kôkyûroku Bessatsu, B25, 103-123, (2011), Res. Inst. Math. Sci. (RIMS), Kyoto Arithmetic and non-Archimedean dynamical systems, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory, Non-Archimedean dynamical systems, 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 Autissier, Pascal, Dynamique des correspondances algébriques et hauteurs, Int. Math. Res. Not., 69, 3723-3739, (2004) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Modular and Shimura varieties, Arithmetic ground fields for abelian varieties, Arithmetic aspects of modular and Shimura varieties, Modular correspondences, etc.
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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, A., Small height in fields generated by singular moduli, Proc. Amer. Math. Soc., 144, 7, 2771-2786, (2016) Heights, Elliptic curves over global fields, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Linear Diophantine equations, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), 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 Amoroso, F.; David, S.: Minoration de la hauteur normalisée des hypersurfaces. Acta arith. 92, 339-366 (2000) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Transcendence (general 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 Habegger, P.; Pila, J., O-minimality and certain atypical intersections, Ann. Sci. Éc. Norm. Supér. (4), 49, 813-858, (2016) Abelian varieties of dimension \(> 1\), Arithmetic aspects of modular and Shimura varieties, Model theory of ordered structures; o-minimality, Heights, Subvarieties of abelian varieties, Modular and Shimura 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 Ih, S., Integral points on the Chebyshev dynamical systems, J. Korean Math. Soc., 52, 5, 955-964, (2015) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Heights, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic properties of periodic 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 DOI: 10.1007/s101140000047 Heights, Parametrization (Chow and Hilbert schemes), 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: 10.4064/aa149-2-2 Heights, Curves over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym 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 Poonen B.: Mordell-Lang plus Bogomolov. Invent. Math. 137, 413--425 (1999) Varieties over global fields, 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 Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Other Dirichlet series and zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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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. Fouvry, ``Sur la hauteur des points d'une certaine surface cubique singulière'' dans Nombre et répartition de points de hauteur bornée (Paris, 1996) , Astérisque 251 , Soc. Math. France, Montrouge, 1998, 31--49. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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 Kudla, S.: Derivatives of Eisenstein series and arithmetic geometry. In: Proceedings of the ICM 2002, Beijing, vol. II, pp. 173--183. Higher Education Press, Beijing (2002) Arithmetic aspects of modular and Shimura varieties, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Modular and Shimura varieties, Fourier coefficients of automorphic forms
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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. Kawaguchi, Canonical height functions for affine plane automorphisms, Math. Ann. 335 (2006), 285-310. Heights, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, 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 W. Gubler, Local and canonical height of subvarieties, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 2 (2003), 711-760. Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Rigid analytic 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 David, S.; Philippon, P., Minorations des hauteurs normalisées des sous-variétés des tores, Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV, 28, 3, 489-543, (1999) Varieties over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Transcendence (general theory), Results involving 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 Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Elliptic curves over global fields, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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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 Gaudron, É.; Rémond, G., Lemmes de Siegel d'évitement, Acta Arith., 154, 125-136, (2012) 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 Rational points, Arithmetic ground fields for curves, 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 10.1007/s00222-016-0713-1 Arithmetic varieties and schemes; Arakelov theory; heights, Theta functions and abelian varieties, Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences, 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 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 K. Yamaki, Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: The minimal dimension of a canonical measure), Manuscripta Math. 142 (2013), 273-306. 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 D. Bourqui, Fonction Zéta des Hauteurs des Variétés Toriques Non Déployées, Memoirs of the AMS, No. 994 211 (2011). Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights, Toric varieties, Newton polyhedra, Okounkov bodies, Other Dirichlet series and zeta functions
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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, Class numbers, class groups, discriminants, 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 Maillot, Vincent, Géométrie d\(###\)arakelov des variétés toriques et fibrés en droites intégrables, Mém. Soc. Math. Fr. (N. S.), 80, (2000), vi+129 Arithmetic varieties and schemes; Arakelov theory; heights, Toric varieties, Newton polyhedra, Okounkov bodies, Diophantine inequalities, 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, The modular height of an abelian variety and its finiteness property, Adv. Stud. Pure Math. 45 (2006), pp. 157-187. Arithmetic varieties and schemes; Arakelov theory; heights, 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 Habegger, Philipp, Special points on fibered powers of elliptic surfaces, J. Reine Angew. Math.. Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 685, 143-179, (2013) Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Subvarieties of abelian varieties, Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of 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 Bombieri, E.; Cohen, P. B.: Siegel's lemma, Padé approximations and Jacobians. Ann. scuola norm. Sup. Pisa cl. Sci. (4) 25, No. 1/2, 155-178 (1998) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Diophantine approximation, transcendental number theory, Jacobians, Prym 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 Nguyen, K. V.: Non semistable Arakelov bound and hyperelliptic Szpiro ratio for function field, Proc. amer. Math. soc. 127, No. 11, 3125-3130 (1999) Algebraic functions and function fields in algebraic geometry, 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 C. G. Lee, \textit{The equidistribution of periodic points of some automorphisms on K3 surfaces}, Bull. Korean Math. Soc. \textbf{49}(2012), no. 2, 307-317. Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, \(K3\) surfaces and Enriques surfaces
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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. Pontreau , Points de petite hauteur d'une surface . Canadian Journal of Mathematics. À paraître. Heights, Results involving abelian varieties, Abelian varieties of dimension \(> 1\), Varieties over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Group 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 Künnemann, K, Projective regular models for abelian varieties, semistable reduction, and the height pairing, Duke Math. J., 95, 161-212, (1998) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Algebraic cycles, Global ground fields in 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, 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 K. Liu, Geometric height inequalities, Math. Res. Lett. 3 (1996), no. 5, 693-702. 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Class numbers, class groups, discriminants
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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 De La Bretèche, R.: Sur la hauteur des points d'une certaine surface cubique singulière. Astérisque 251, 51-77 (1998) Arithmetic varieties and schemes; Arakelov theory; heights, Singularities of surfaces or higher-dimensional varieties, Heights, 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 10.1090/S0002-9947-2011-05350-X Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, 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 Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Heights, Relevant commutative algebra, Hypersurfaces and 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 Lang, S.: Diophantine Geometry. New York: John Wiley \& Sons. 1962. Arithmetic algebraic geometry (Diophantine geometry), Arithmetic problems in algebraic geometry; Diophantine geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Abelian varieties of dimension \(> 1\), Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Higher degree equations; Fermat's equation, Rational points, Hilbertian fields; Hilbert's irreducibility theorem
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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 Moriwaki, Atsushi, Arithmetic linear series with base conditions, Math. Z., 0025-5874, 272, 3-4, 1383-1401, (2012) 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Group schemes, Varieties over global fields, Vector bundles on curves and their moduli
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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 Künnemann, K.: Height pairings for algebraic cycles on abelian varieties. Ann. Sci. École Norm. Sup. (4) 34(4), 503--523 (2001) Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties of dimension \(> 1\), Heights, Algebraic cycles, 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 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Implicit function theorems; global Newton methods on 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 Faltings G., Algebraic analysis, geometry, and number theory (Baltimore, 1988) pp 25-- (1989) Abelian varieties of dimension \(> 1\), 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 Abelian varieties of dimension \(> 1\), Model theory of ordered structures; o-minimality, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties and schemes
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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, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in 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 Moriwaki, A.: Toward Dirichlet's unit theorem on arithmetic varieties (2012). arXiv:1010.1599v2 [math.AG] 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 P. Philippon, M. Sombra, Géométrie Diophantienne et variétés toriques, C. R. Math. Acad. Sci. Paris 340, 507--512 (2005). Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Toric varieties, Newton polyhedra, Okounkov bodies, 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 X. Song and T. J. Tucker, Dirichlet's theorem, Vojta's inequality, and Vojta's conjecture, Compos. Math. 116 (1999), no. 2, 219-238. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Approximation to algebraic numbers, Diophantine inequalities, 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 Lee, C., An upper bound for the height for regular affine automorphisms of \(\mathbb{A}^n\), Math. Ann., 355, 1, 1-16, (2009) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables
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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 Moriwaki A.: Estimation of arithmetic linear series. Kyoto J. Math. 50, 685--725 (2010) 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 Families, moduli of curves (analytic), Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus
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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, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Families, moduli, classification: algebraic theory, 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 Faltings G. Finiteness Theorems for Abelian Varieties over Number Fields, in G. Cornell and J. Silverman (eds.), Arithmetic Geometry Springer--Verlag (1986). Arithmetic ground fields for abelian varieties, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Heights, Abelian varieties of dimension \(> 1\), Higher degree equations; Fermat's equation
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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, Diophantine inequalities, Adèle rings and groups, Global ground fields in algebraic geometry, 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arcs and motivic integration, Rational points, 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 Boucksom, S.; Chen, H., \textit{Okounkov bodies of filtered linear series}, Compos. Math., 147, 1205-1229, (2011) Global ground fields in 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 Faltings, G., Diophantine approximation on abelian varieties, \textit{Ann. Math.}, 133, 3, 549-576, (1991) Rational points, Diophantine approximation, transcendental number 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 Yang, T.-H.: The second term of an Eisenstein series. In: Second International Congress of Chinese Mathematicians. New Studies in Advanced Mathematics, vol. 4, pp. 233-248. International Press, Somerville (2004) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Fourier coefficients of automorphic forms, Arithmetic varieties and schemes; Arakelov theory; heights, Forms of half-integer weight; nonholomorphic modular forms, Arithmetic aspects of modular and Shimura 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 Patrice Philippon and Martín Sombra, Minimum essentiel et degrés d'obstruction des translatés de sous-tores, Acta Arith. 133 (2008), no. 1, 1 -- 24 (French). Heights, Arithmetic varieties and schemes; Arakelov theory; heights, 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 David, Sinnou; Philippon, Patrice, Sous-variétés de torsion des variétés semi-abéliennes, C. R. Acad. Sci. Paris Sér. I Math., 331, 8, 587-592, (2000) Heights, Rational points, 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 Heights, Diophantine equations in many variables, Forms of degree higher than two, Global ground fields in algebraic geometry, 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 Elliptic curves over global fields, Heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic varieties and schemes; Arakelov theory; heights, Iwasawa theory, Local ground fields in algebraic geometry
| 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 Philippon, A refinement of the Bernštein-Kušnirenko estimate, Adv. Math. 218 pp 1370-- (2008) Toric varieties, Newton polyhedra, Okounkov bodies, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, General convexity, Power series, series of functions of several complex variables
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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, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Heights, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, 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 Tamvakis H.: Arakelov theory of even orthogonal Grassmannians. Comment. Math. Helv. 82, 455--475 (2007) Arithmetic varieties and schemes; Arakelov theory; heights, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation 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 Sombra, M, Minimums successifs des variétés toriques projectives, J. Reine Angew. Math., 586, 207-233, (2005) Toric varieties, Newton polyhedra, Okounkov bodies, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Varieties over global fields, 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 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
| 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, 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 Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald: Two-coverings of Jacobians of curves of genus 2. Proc. lond. Math. soc. (3) 104, No. 2, 387-429 (2012) Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym 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 Brownawell, W. D.: Distance to common zeros and lower bounds for polynomials, , 51-60 (1992) Diophantine approximation, transcendental number theory, Effectivity, complexity and computational aspects of algebraic geometry, Holomorphic functions of several complex variables
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