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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Yu, J.: Transcendence theory over function fields. Duke math. J. 52, 517-527 (1985) Transcendence theory of Drinfel'd and \(t\)-modules, Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Divisibility and factorizations in commutative rings, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields F.\ A. Bogomolov, On two conjectures in birational algebraic geometry, Algebraic geometry and analytic geometry (Tokyo 1990), ICM-90 Satell. Conf. Proc., Springer, Tokyo (1991), 26-52. Algebraic functions and function fields in algebraic geometry, (Co)homology theory in algebraic geometry, Galois cohomology, Rational and birational maps, Varieties over global fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Plane and space curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Quadratic spaces; Clifford algebras, Forms and linear algebraic groups, Clifford algebras, spinors, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Silhol, R., Classification birationnelle des surfaces rationnelles réelles, 308-324, (1990), Berlin Special surfaces, Topology of real algebraic varieties, Rational and birational maps, Families, moduli, classification: algebraic theory, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Other abelian and metabelian extensions, Arithmetic theory of algebraic function fields, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hu, C.; Yang, S., Multi-point codes over Kummer extensions, Des. Codes Cryptogr., 86, 211-230, (2018) Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Yu. G. Zarhin, ''Endomorphisms of Superelliptic Jacobians,'' Math. Z. 261, 691--707, 709 (2009). Jacobians, Prym varieties, Algebraic theory of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Dan Abramovich and José Felipe Voloch, Lang's conjectures, fibered powers, and uniformity, New York J. Math. 2 (1996), 20 -- 34, electronic. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Alvanos, P.; Bilu, Y.; Poulakis, D., \textit{characterizing algebraic curves with infinitely many integral points}, Int. J. Number Theory, 5, 585-590, (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Counting solutions of Diophantine equations
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, \(L\)-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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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic theory of abelian varieties, Elliptic curves over global fields, Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Model theory (number-theoretic aspects)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Heß, F.: An algorithm for constructing Weierstrass points, Lecture notes in comput. Sci. 2369, 357-371 (2002) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bliss, G. A. (1933). \textit{Algebraic functions} (Vol. XVI). Providence, RI: American Mathematical Society Colloquium Publications. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Plane and space curves, Exponential and trigonometric functions, Classical hypergeometric functions, \({}_2F_1\), Hyperbolic and elliptic geometries (general) and generalizations
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Deolalikar, V., Extensions of algebraic function fields with complete splitting of all rational places, Comm. Algebra, 30, 6, 2687-2698, (2002) Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields S. V. Bolotin, ''Integrable billiards of Birkhoff,'' \textit{Vestn. Mosk. Univ. Ser. 1 Mat. Mekh.}, No. 2, 33-36 (1990). Ergodic theory, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Jones, G.A., Streit, M.: Galois groups, monodromy groups and cartographic groups. In: Schneps L., Lochak P. (eds) Geometric Galois Actions, 2. LMS Lecture Notes Series 243. Cambridge University Press, Cambridge, (1997) Arithmetic ground fields for curves, Group actions on varieties or schemes (quotients), Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Galois theory
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Singularities of curves, local rings
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields N. Bruin, M. Stoll, Deciding existence of rational points on curves: an experiment, Experiment. Math. 17 (2008), 181-189. Zbl1218.11065 MR2433884 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Computer solution of Diophantine equations, Rational points, Computational aspects of algebraic curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Takahashi T.: Galois points on normal quartic surfaces. Osaka J. Math. 39, 647--663 (2002) Hypersurfaces and algebraic geometry, Separable extensions, Galois theory, \(K3\) surfaces and Enriques surfaces, Algebraic functions and function fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Robert M. Guralnick and John Shareshian. Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points. Mem. Amer. Math. Soc., 189(886):vi+128, 2007. With an appendix by Guralnick and R. Stafford. Coverings of curves, fundamental group, Primitive groups, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Finite automorphism groups of algebraic, geometric, or combinatorial structures
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Families, moduli, classification: algebraic theory, Quadratic and bilinear forms, inner products, Polar geometry, symplectic spaces, orthogonal spaces, Surfaces in Euclidean and related spaces, Equations in general fields, Implicit ordinary differential equations, differential-algebraic equations, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Computer solution of Diophantine equations, Higher degree equations; Fermat's equation
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Prasad, D.; Rajan, C. S., On an Archimedean analogue of tate's conjecture, J. Number Theory, 99, 180-184, (2003) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Isospectrality, Riemann surfaces; Weierstrass points; gap sequences
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields V. Enolskii, S. Matsutani, and Y. Ônishi, ''The Addition Law Attached to a Stratification of a Hyperelliptic Jacobian Variety,'' Tokyo J. Math. 31(1), 27--38 (2008); arXiv:math.AG/0508366. Algebraic functions and function fields in algebraic geometry, Subvarieties of abelian varieties, Special algebraic curves and curves of low genus, Special divisors on curves (gonality, Brill-Noether theory)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Markushevich, D., Kowalevski Top and Genus-2 Curves, J. Phys. A: Math. Gen., 2001, vol. 34, pp. 2125--2135. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bassa, A.; Ma, L.; Xing, C.; Yeo, S. L., Toward a characterization of subfields of the Deligne-Lusztig function fields, \textit{J. Comb. Theory Ser. A}, 120, 1351-1371, (2013) Combinatorial aspects of representation theory, Curves over finite and local fields, Finite ground fields in algebraic geometry, Automorphisms of curves, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Heights, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rzedowski-Calderón M., Mejía-Huguet V.J.: Indescomponibilidad y módulos -divisibles. Aport. Mat. Comun. 35, 45--63 (2005) Injective and flat modules and ideals in commutative rings, Jacobians, Prym varieties, Arithmetic theory of algebraic function fields, Injective modules, self-injective associative rings, Group rings of finite groups and their modules (group-theoretic aspects)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Pencils, nets, webs in algebraic geometry, Plane and space curves, Families, moduli of curves (algebraic), Rational points, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, 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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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, 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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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Local ground fields in algebraic geometry, Heights, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic varieties and schemes; Arakelov theory; heights
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Transcendental field extensions, Quadratic forms over general fields, Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Model theory of fields, Grassmannians, Schubert varieties, flag manifolds, Brauer groups (algebraic aspects)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Finite-dimensional division rings, Quadratic forms over general fields, Forms over real fields, Brauer groups (algebraic aspects), Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tadokoro Y. (2006). The pointed harmonic volumes of hyperelliptic curves with Weierstrass base points. Kodai Math. J. 29(3): 370--382 Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Coverings of curves, fundamental group, Vector spaces, linear dependence, rank, lineability, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields D.S. Thakur Number fields and function fields (zeta and gamma functions at all primes), p-adic analysis , Proc. Conf. Houthalen/Belg ( 1986 ), 149 - 157 . MR 921867 | Zbl 0658.12005 Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Class field theory, Zeta functions and \(L\)-functions of number fields, Langlands-Weil conjectures, nonabelian class field theory, Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite fields and commutative rings (number-theoretic aspects)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Izquierdo, D., Variétés abéliennes sur les corps de fonctions de courbes sur des corps locaux, Doc. Math., 22, 297-361, (2017) Arithmetic ground fields for abelian varieties, Geometric class field theory, Rational points, Algebraic functions and function fields in algebraic geometry, Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Local ground fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Becher K.J., Van Geel J.: Sums of squares in function fields of hyperelliptic curves. Math. Z. 209, 829--844 (2009) Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Isogeny, Algebraic functions and function fields in algebraic geometry, Abelian varieties of dimension \(> 1\)
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hellegouarch, Y.: Algorithme pour calculer LES puissances successives d'une classe d'idéaux dans uns corps quadratique. Application aux courbes elliptiques. C. R. Acad. sci. Paris sér. I 305, 573-576 (1987) Quadratic extensions, Arithmetic theory of algebraic function fields, Elliptic curves, Software, source code, etc. for problems pertaining to field theory, Jacobians, Prym varieties, Higher degree equations; Fermat's equation, Algebraic number theory: local fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields S. Rybakov, ''Zeta functions of conic bundles and Del Pezzo surfaces of degree 4 over finite fields,'' Mosc. Math. J. 5(4), 919--926 (2005). Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta and \(L\)-functions in characteristic \(p\), Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Litsyn S., Rains E.M., Sloane N.J.A.: Table of nonlinear binary codes online table at http://www.eng.tau.ac.il/~litsyn/tableand/. Accessed Sept 2014. Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields G. A. Corn and T. M. Corn, \textit{Mathematical Handbook for Scientists and Engineers} (McGraw-Hill, New York, 1961). Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Varieties over global fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Varieties over global fields, Elliptic curves over global fields, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields C. Consani and M. Marcolli, ''Spectral triples from Mumford curves,'' Int. Math. Research Notices 36, 1945--1972 (2003). Curves of arbitrary genus or genus \(\ne 1\) over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Local ground fields in algebraic geometry, Symbolic dynamics, Noncommutative dynamical systems, Noncommutative global analysis, noncommutative residues
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry, Special surfaces
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Computer solution of Diophantine equations
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields [13]R. Rumely, A new equivariant in nonarchimedean dynamics, in preparation. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Fried, M.D., Kopeliovich, Y.: Applying modular towers to the inverse Galois problem. In: Geometric Galois Actions, 2. London Math. Soc. Lecture Note Ser., vol. 243, pp. 151--175. Cambridge University Press, Cambridge (1997) Inverse Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields ÇakÇak, E; Özbudak, F, Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places, J. Pure Appl. Algebra, 210, 113-135, (2007) Curves over finite and local fields, Arithmetic theory of algebraic function fields, Rational points, Finite ground fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes, Galois cohomology, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Antonio Campillo, Félix Delgado & Sabir M. Gusein-Zade, ``The Alexander polynomial of a plane curve singularity via the ring of functions on it'', Duke Math. J.117 (2003) no. 1, p. 125-156 Global theory of complex singularities; cohomological properties, Algebraic functions and function fields in algebraic geometry, Singularities of curves, local rings
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, 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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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Families, moduli of curves (algebraic), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Plane and space curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Coverings of curves, fundamental group
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Arithmetic theory of algebraic function fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Automorphisms of curves, Algebraic functions and function fields in algebraic geometry
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Finite-dimensional division rings, Quadratic forms over general fields, Forms over real fields, Brauer groups (algebraic aspects), Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arnaldo Garcia, On curves over finite fields, Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 75 -- 110 (English, with English and French summaries). Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Segur, H.; Finkel, A.: Basic form for Riemann matrices. Lectures in applied mathematics 23 (1986) Period matrices, variation of Hodge structure; degenerations, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Partial differential equations of mathematical physics and other areas of application, Algebraic functions and function fields in algebraic geometry, Compact Riemann surfaces and uniformization
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Martine Girard, Groupe des points de Weierstrass sur une famille de quartiques lisses, Preprint, December 1999. Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields T. Ono: On Shafarevich-Tate sets. Proc. The 7th MSJ Int. Res. Inst. Class Field Theory-its centenary and prospect (to appear). Galois cohomology, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Automorphisms of curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Miura K.: Galois points on singular plane quartic curves. J. Algebra 287, 283--293 (2005) Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Plane and space curves, Singularities of curves, local rings
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Flynn, EV, Descent via (5,5)-isogeny on Jacobians of genus 2 curves, J. Number Theory, 153, 270-282, (2015) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Bremner, A.: Some interesting curves of genus 2 to 7. J. Number Theory 67, 277-290 (1997) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Hindes, W., The arithmetic of curves defined by iteration, Acta Arith., 169, 1-27, (2015) Rational points, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Separable extensions, Galois theory, Dynamical systems over global ground fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Special algebraic curves and curves of low genus, Groups acting on trees, Arithmetic dynamics on general algebraic varieties, Arithmetic ground fields for curves
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kim, C.H., Koo, J.K.: Estimation of genus for certain arithmetic groups. Commun. Algebra 32(7), 2479--2495 (2004) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Riemann surfaces; Weierstrass points; gap sequences
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Siksek S., Explicit Chabauty over number fields, Algebra Number Theory 7 (2013), no. 4, 765-793. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, Divisors, linear systems, invertible sheaves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Computational aspects of algebraic curves, Analysis of algorithms and problem complexity, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves of arbitrary genus or genus \(\ne 1\) over global fields, Continued fractions, Jacobians, Prym varieties, Special algebraic curves and curves of low genus
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Tzermias, P, Low-degree points on Hurwitz-Klein curves, Trans. Am. Math. Soc., 356, 939-951, (2003) Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Güneri, C.; Stichtenoth, H.; Taşkın, \.I.: Further improvements on the designed minimum distance of algebraic geometry codes. J. pure appl. Algebra 213, No. 1, 87-97 (2009) Applications to coding theory and cryptography of arithmetic geometry, Algebraic functions and function fields in algebraic geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Group actions on varieties or schemes (quotients), Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Siksek, S, Chabauty for symmetric powers of curves, Algebra Number Theory, 3, 209-236, (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Varieties over global fields, Analytic theory of abelian varieties; abelian integrals and differentials, Divisors, linear systems, invertible sheaves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Kim, M.: Remark on fundamental groups and effective Diophantine methods for hyperbolic curves. In: Goldfeld, D. et al. (eds.) Number Theory, Analysis and Geometry, pp. 355-368. Springer, New York (2012) (http://people.maths.ox.ac.uk/kimm/papers/effective.pdf) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Dèbes, Pierre and Legrand, François Specialization results in Galois theory Trans. Amer. Math. Soc.365 (2013) 5259--5275 Math Reviews MR3074373 Coverings of curves, fundamental group, Arithmetic theory of algebraic function fields, Field arithmetic, Rational points
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields E. V. Flynn, An explicit theory of heights , Trans. Amer. Math. Soc. 347 (1995), no. 8, 3003-3015. JSTOR: Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Arithmetic theory of algebraic function fields, Theta series; Weil representation; theta correspondences, Arithmetic ground fields (finite, local, global) and families or fibrations, Automorphic functions in symmetric domains
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 1984. \(p\)-adic and power series fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Exponential Diophantine equations, Diophantine equations, Approximation to algebraic numbers, Higher degree equations; Fermat's equation, Rational points
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Projective techniques in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Integral representations of solutions to PDEs
| 0
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields G. Faltings, Mathematics around Kim's new proof of Siegel's theorem, Diophantine Goemetry, Proceedings of the research program at the Centro di Ricerca Matematica Ennio de Giorgi, U. Zannier (ed.), 390 pp., 2007. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Étale and other Grothendieck topologies and (co)homologies, Arithmetic problems in algebraic geometry; Diophantine geometry
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Chen, I, On siegel's modular curve of level 5 and the class number one problem, J. Number Theory, 74, 278-297, (1999) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Class numbers, class groups, discriminants, Elliptic curves over local fields, Modular and Shimura varieties
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Keating, K. : Galois extensions associated to deformations of formal A-modules , J. Fac. Sci. Univ. Tokyo 37 (1990) 151-170. Formal groups, \(p\)-divisible groups, Class field theory; \(p\)-adic formal groups, Formal power series rings, Arithmetic theory of algebraic function fields
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Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Lenstra, H. W., On a problem of garcia, stichtenoth, and Thomas, Finite Fields Appl., 8, 166-170, (2002) Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields
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