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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Moduli, classification: analytic theory; relations with modular forms, Isogeny, Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Modular correspondences, etc.
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Masanari Kida: ''Ramification in the division fields of an elliptic curve'', To appear in Abh. Math. Sem. Univ. Hamburg. Elliptic curves, Elliptic curves over global fields, Other abelian and metabelian extensions, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves K. Hulek and M. Schütt, Arithmetic of singular Enriques surfaces, Algebra & Number Theory, 6 (2012), 195--230.Zbl 1248.14043 MR 2950152 \(K3\) surfaces and Enriques surfaces, General binary quadratic forms, Complex multiplication and moduli of abelian varieties, Varieties over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Hypersurfaces and algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Bogomolov, F; Tschinkel, Y, Density of rational points on Enriques surfaces, Math. Res. Lett., 5, 623-628, (1998) Rational points, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Billot, P. : Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière , Compos. Math. 58 (1986), 341-369. Arithmetic ground fields for curves, Elliptic curves, Cyclotomic extensions, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Theta functions and abelian varieties, Arithmetic ground fields for curves, Differentials on Riemann surfaces, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Algebraic functions and function fields in algebraic geometry, Rational points, Elliptic curves, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves 4.G. Lay and H. Zimmer, ''Constructing elliptic curves with given group order over large finite fields'', \(Algorithmic Number Theory: First International Symposium\), Lecture Notes in Computer Science, 877, Springer-Verlag, pp. 250-263. Arithmetic aspects of modular and Shimura varieties, Elliptic curves, Rational points, Computational aspects of algebraic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves DOI: 10.1016/j.jpaa.2004.08.013 Arithmetic ground fields for curves, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry, Rational points, Algebraic coding theory; cryptography (number-theoretic aspects)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves de Jong, A.J., Starr, J.: Every rationally connected variety over the function field of a curve has a rational point. Am. J. Math. 125(3), 567--580 (2003) Rational points, Schemes and morphisms, Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Richard Moloney, Divisibility properties of Kloosterman sums and division polynomials for Edwards curves, PhD thesis, University College Dublin, 2011. Elliptic curves over global fields, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Garcia, A.; Stichtenoth, H., A class of polynomials over finite fields, Finite Fields Appl., 5, 424-435, (1999) Curves over finite and local fields, Polynomials over finite fields, Rational points, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves E. F. Flynn, ''The arithmetic of hyperelliptic curves,'' in: Algorithms in Algebraic Geometry and Applications, Progress Math., Vol. 143, Birkhäuser, Boston (1996), pp. 165--175. Rational points, Elliptic curves, Computational aspects of algebraic curves, Global ground fields in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Bernadette Perrin-Riou, Travaux de Kolyvagin et Rubin, Astérisque 189-190 (1990), Exp. No. 717, 69 -- 106 (French). Séminaire Bourbaki, Vol. 1989/90. Rational points, Elliptic curves, Elliptic curves over global fields, History of algebraic geometry, Global ground fields in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Comparin, P.; Garbagnati, A., Van geemen-sarti involutions and elliptic fibrations on K3 surfaces double cover of \(\mathbb{P}^2\), J. Math. Soc. Jpn., 66, 479-522, (2014) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves 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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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Husemöller, D.: Elliptic Curves. Graduate Texts in Mathematics, 2nd edn. Springer, Berlin (2004) Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Elliptic curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Rational points, Special algebraic curves and curves of low genus, Global ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Research exposition (monographs, survey articles) pertaining to number theory, Calabi-Yau manifolds (algebro-geometric aspects), Elliptic genera, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves F. Denef, \textit{Les Houches lectures on constructing string vacua}, arXiv:0803.1194 [INSPIRE]. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Algebraic moduli problems, moduli of vector bundles
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hammer, H.; Herrlich, F., A remark on the moduli field of a curve, Arch. Math., 81, 5-10, (2003) Arithmetic ground fields for curves, Families, moduli of curves (algebraic), Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Feit, W.; Vojta, P., Examples of some \(\mathbb{Q}\)-admissible groups, J. Number Theory, 26, 210-226, (1987) Galois theory, Elliptic curves, Rational points, Quaternion and other division algebras: arithmetic, zeta functions, Polynomials (irreducibility, etc.), Representations of groups as automorphism groups of algebraic systems
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Markman, Eyal, Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 544, 61-82, (2002) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Classical real and complex (co)homology in algebraic geometry, Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Automorphisms of curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves A.-S. Elsenhans, J. Jahnel, Experiments with the transcendental Brauer-Manin obstruction, in \(ANTS X- Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Ser\), vol. 1 (Mathematical Sciences Publishers, Berkeley, CA, 2013), pp. 369-394 Varieties over global fields, Computer solution of Diophantine equations, Elliptic curves, \(K3\) surfaces and Enriques surfaces, Higher degree equations; Fermat's equation
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves, Families, moduli of curves (algebraic), Local ground fields in algebraic geometry, Discrete subgroups of Lie groups, Complex multiplication and moduli of abelian varieties, Complex multiplication and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Modular and automorphic functions, Representations of Lie and linear algebraic groups over local fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves DOI: 10.1016/j.geomphys.2011.09.010 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Rational points, Arithmetic aspects of tropical varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves A. J. Scholl, ''An introduction to Kato's Euler systems,'' in Galois Representations in Arithmetic Algebraic Geometry, Cambridge: Cambridge Univ. Press, 1998, vol. 254, pp. 379-460. Elliptic curves over global fields, Holomorphic modular forms of integral weight, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves C. Salgado, Construction of linear pencils of cubics with Mordell-Weil rank five, Comment. Math. Univ. St. Pauli, 58 (2009), 95-104. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves DOI: 10.1112/plms/s3-55.3.465 Arithmetic ground fields for curves, Rational points, Jacobians, Prym varieties, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Rational points, Complex multiplication and moduli of abelian varieties, Elliptic curves, Cubic and quartic Diophantine equations
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Edixhoven, B.: Rational torsion points on elliptic curves over number fields (after kamienny and Mazur). Astérisque 227, 209-227 (1995) Elliptic curves, Elliptic curves over global fields, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves DOI: 10.1215/S0012-7094-96-08514-2 Parametrization (Chow and Hilbert schemes), Elliptic curves, (Equivariant) Chow groups and rings; motives, Arithmetic ground fields for curves, Modular and Shimura varieties, Elliptic curves over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves H.G. Zimmer , Zur Arithmetik der elliptischen Kurven . Bericht Nr 271 ( 1986 ) der Math.-Stat. Sektion der Forschungsges. Joanneum, Graz, Österreich MR 901951 | Zbl 0619.14021 Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hiro-o Tokunaga, Some examples of Zariski pairs arising from certain elliptic \?3 surfaces. II. Degtyarev's conjecture, Math. Z. 230 (1999), no. 2, 389 -- 400. Singularities of curves, local rings, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Fibrations, degenerations in algebraic geometry, Families, moduli of curves (analytic), Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Group actions and symmetry properties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves, Elliptic curves over global fields, Special algebraic curves and curves of low genus, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Flexor, M.; Oesterlé, J., Sur LES points de torsion des courbes elliptiques, Astérisque, 183, 25-36, (1990) Rational points, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Brown, M. L.: Singular moduli and supersingular moduli of Drinfeld modules. Invent. math 110, 419-439 (1992) Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of polynomial rings over finite fields, Complex multiplication and moduli of abelian varieties, Arithmetic ground fields for 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 Javanpeykar, A.: Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin. Algebra Number Theory \textbf{8}(1), 89-140 (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Dessins d'enfants theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Heights, Riemann surfaces; Weierstrass points; gap sequences, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves 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 Cinkir, Z.: Computation of Polarized metrized graph invariants by using discrete laplacian matrix. Math. Comp. 10.1090/mcom/2981 Graphs and linear algebra (matrices, eigenvalues, etc.), Graph algorithms (graph-theoretic aspects), Distance in graphs, Arithmetic varieties and schemes; Arakelov theory; heights, Programming involving graphs or networks, Applications of graph theory to circuits and networks, Heights, Varieties over global fields, 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 Pazuki, F., \textit{minoration de la hauteur de Néron-Tate sur LES surfaces abéliennes}, Manuscripta Math., 142, 61-99, (2013) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\)
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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, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Diophantine inequalities, Rational points, Global ground fields in algebraic geometry, Heights, 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 J.S. Müller, M. Stoll, Canonical heights on genus two Jacobians. Algebra & Number Theory 10(10), 2153-2234 (2016) Heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Arithmetic varieties and schemes; Arakelov theory; heights, Computational aspects of algebraic curves, 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 Stoll, M., On the height constant for curves of genus two, Acta Arith., 90, 2, 183-201, (1999) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Heights, Jacobians, Prym varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties of dimension \(> 1\)
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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 \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties
| 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 S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. (2) 136 (1992), no. 3, 569-587. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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 Faber, X. W. C., The geometric Bogomolov conjecture for curves of small genus, Experiment. Math., 1058-6458, 18, 3, 347\textendash 367 pp., (2009) 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 D. Holmes, Computing Néron-Tate heights of points on hyperelliptic Jacobians. J. Number Theory 132(6), 1295-1305 (2012) Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Kühn U. and Müller J.\ S., Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces, preprint 2012, . Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Holmes D., An Arakelov-theoretic approach to naive heights on hyperelliptic Jacobians, preprint 2012, . Heights, 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 Delsinne, Le problème de Lehmer relatif en dimension supérieure, Ann. Sci. École Norm. Sup. 42 6 pp 981-- (2009) Heights, Other analytic theory, Arithmetic varieties and schemes; Arakelov theory; heights, Diophantine approximation, transcendental 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 ---, Comptage de courbes sur le plan projectif éclaté en trois points alignés, Ann. Inst. Fourier (Grenoble) 59 (2009), 1847-1895. Heights, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Varieties over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Parametrization (Chow and Hilbert schemes), 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 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\)
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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. Bombieri and W. Gubler, Heights in Diophantine Geometry. Cambridge University Press, Cambridge, 2006. Zbl1130.11034 MR2216774 Heights, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), 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 Hindry, Marc; Silverman, Joseph H., Diophantine geometry\upshape, An introduction, Graduate Texts in Mathematics 201, xiv+558 pp., (2000), Springer-Verlag, New York Arithmetic algebraic geometry (Diophantine geometry), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Arithmetic problems in algebraic geometry; Diophantine geometry, Abelian varieties of dimension \(> 1\), Approximation to algebraic numbers, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, Global ground fields in algebraic geometry, 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 Complex multiplication and abelian varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Jacobians, Prym 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 Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Abelian varieties of dimension \(> 1\)
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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, Diophantine inequalities, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 D'Andrea, Carlos; Krick, Teresa; Sombra, Martín., Heights of varieties in multiprojective spaces and arithmetic Nullstellensätze, Ann. Sci. Éc. Norm. Supér. (4), 46, 4, 549-627 (2013), (2013) Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Varieties over global fields, Computational aspects and applications of commutative rings, Diophantine approximation, transcendental number 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 Szpiro, L, Degrés, intersections, hauteurs, Astérisque, 127, 11-28, (1985) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Analytic theory of abelian varieties; abelian integrals and differentials, 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 C. Gasbarri, Heights of Vector Bundles and the Fundamental Group Scheme of a Curve. Duke Math. J. 117 No.2 (2003), 287-311. Zbl1026.11057 MR1971295 Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Group schemes, Varieties over global fields, Vector bundles on curves and their moduli, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic moduli problems, moduli of vector bundles
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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. Müller, Computing canonical heights using arithmetic intersection theory. Math. Comput. 83, 311-336 (2014) Heights, 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 Balakrishnan, JS; Besser, A.; Müller, JS, Quadratic Chabauty: \(p\)-adic height pairings and integral points on hyperelliptic curves, J. Reine Angew. Math., 720, 51-79, (2016) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, 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, Elliptic curves over global fields, Algebraic theory of abelian varieties, Families, moduli of curves (algebraic), 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 E. Bombieri, W. Gubler, \textit{Heights in Diophantine Geometry.} New Mathematical Monographs, Vol. 4. Cambridge Univ. Press, Cambridge, 2006. Heights, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties
| 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 Rational points, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
| 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 A. Surroca. \textit{Sur l'effectivité du théorème de Siegel et la conjecture abc}. J. Number Theory, \textbf{124} (2007), 267-290. Higher degree equations; Fermat's equation, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Linear forms in logarithms; Baker's method
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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, Varieties over global fields, 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 Heier, G; Ru, M, Essentially large divisors and their arithmetic and function-theoretic inequalities, Asian J. Math., 16, 387-407, (2012) Varieties over global fields, Heights, Divisors, linear systems, invertible sheaves, Arithmetic varieties and schemes; Arakelov theory; heights, Schmidt Subspace Theorem and applications, Value distribution theory in higher dimensions
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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 Chambert-Loir, Antoine, Points de petite hauteur sur les variétés semi-abéliennes, Ann. Sci. École Norm. Sup. (4), 33, 6, 789-821, (2000) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Finite 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
| 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 Moriwaki, Atsushi, Numerical characterization of nef arithmetic divisors on arithmetic surfaces, Ann. Fac. Sci. Toulouse Math. (6), 0240-2963, 23, 3, 717-753, (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Arithmetic ground fields for surfaces or higher-dimensional varieties
| 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
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Jacobians, Prym varieties, Singularities of surfaces or higher-dimensional varieties, Heights
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Diophantine inequalities, Heights
| 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Heights
| 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 Raynaud, M., Hauteurs et isogénies, Astérisque, 127, 199-234, (1985) Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Heights
| 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 H. IKOMA, The Faltings-Moriwaki modular height and isogenies of elliptic curves, J. Math. Kyoto. Univ. 48 (2008), pp. 661-682. Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves over global 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 Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties
| 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, Arithmetic ground fields for curves
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Elliptic curves over global fields, Elliptic curves over local 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, Heights
| 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, Toric varieties, Newton polyhedra, Okounkov bodies
| 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 Zhang, S., \textit{equidistribution of small points on abelian varieties}, Ann. of Math. (2), 147, 159-165, (1998) Heights, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights
| 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 Varieties over global fields, Heights, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights
| 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 Gasbarri, C., On the number of points of bounded height on arithmetic projective spaces, Manuscripta Math., 98, 453-475, (1999) Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, 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 Lucien Szpiro & Emmanuel Ullmo, Variation de la hauteur de Faltings dans une classe de \(\overline{\mathbb Q}\)-isogénie de courbe elliptique, Duke Math. J.97 (1999), p. 81-97 Heights, Elliptic curves over global fields, Galois 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 Drinfel'd modules; higher-dimensional motives, etc., Heights, Positive characteristic ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights
| 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 L. Weng, \(\Omega\) -admissible theory, II: Deligne pairings over moduli spaces of punctured Riemann surfaces, Math. Ann. 320 (2001), 239--283. Arithmetic varieties and schemes; Arakelov theory; heights, Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Generalizations (algebraic spaces, stacks)
| 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 Dąbrowski, A.; Jędrzejak, T.: Ranks in families of Jacobian varieties of twisted Fermat curves, Canad. math. Bull. 53, 58-63 (2010) Abelian varieties of dimension \(> 1\), Elliptic curves over global fields, Heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Arithmetic ground fields for abelian varieties
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology, Heights
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Arithmetic varieties and schemes; Arakelov theory; heights
| 0
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