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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 Liu, Hang; de Jeu, Rob, On \(K_2\) of certain families of curves, Int. Math. Res. Not. IMRN, 21, 10929-10958, (2015) Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Polylogarithms and relations with \(K\)-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 Symbols and arithmetic (\(K\)-theoretic aspects), 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 Higher degree equations; Fermat's equation, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, 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 E. W. Howe, The Weil pairing and the Hilbert symbol. Mathematische Annalen 305 (1996), 387-392. Zbl0854.11031 MR1391223 Curves over finite and local fields, Class field theory, Arithmetic theory of algebraic function 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 Families, moduli of curves (algebraic), Jacobians, Prym varieties, Pencils, nets, webs in algebraic geometry, 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 Galois theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields, Inverse Galois theory, Coverings of curves, fundamental group
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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 Jędrzejak, T.; Top, J.; Ulas, M.: Tuples of hyperelliptic curves y2=xn+a, Acta arith. 150, No. 2, 105-113 (2011) 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 Proceedings, conferences, collections, etc. pertaining to number theory, Abelian varieties of dimension \(> 1\), Curves over finite and local fields, Varieties over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic coding theory; cryptography (number-theoretic aspects), Special algebraic curves and curves of low genus, Arithmetic ground fields for abelian varieties, Representations of finite groups of Lie type, Geometric methods (including applications of algebraic geometry) applied to coding theory, Proceedings of conferences of miscellaneous specific interest
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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., Algebraic Functions (1966) Algebraic functions and function fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to 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 Nonstandard models in mathematics, Nonstandard arithmetic and field 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 VOLOCH (J.F.) . - Mordell's equation in characteristic three , Bull. Austral. Math. Soc., t. 41, 1990 , p. 149-150. MR 91b:11072 | Zbl 0698.14017 Finite ground fields in algebraic geometry, Cubic and quartic Diophantine equations, 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 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 Automorphisms of curves, 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 DOI: 10.1016/S0377-0427(03)00624-1 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves 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 C. Kassel and C. Reutenauer, Complete determination of the zeta function of the Hilbert scheme of n points on a two-dimensional torus, \textit{Ramanujan J.}, to appear. Noncommutative algebraic geometry, Exact enumeration problems, generating functions, Algebraic theory of languages and automata, Combinatorics on words, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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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 Yuri G. Zarhin, Galois groups of Mori trinomials and hyperelliptic curves with big monodromy, European J. Math., DOI 10.1007/s40879-015-0048-2. 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 L. Gerritzen , Integrale zweiter Gattung auf Mumfordkurven , Math. Ann. 270 ( 1985 ), 381 - 392 . MR 774363 | Zbl 0535.14016 Arithmetic ground fields for curves, Local ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, 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 Matignon, M.; Youssefi, T.: Appendix to inégalité relative des genres by T. Youssefi. Manuscripta math. 78, No. 2, 111-128 (1993) Algebraic functions and function fields in algebraic geometry, Valuations and their generalizations for commutative rings, Curves over finite and local fields, 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 B. Poonen and E. Schaefer, ''Explicit Descent for Jacobians of Cyclic Covers of the Projective Line,'' J. Reine Angew. Math. 488, 141--188 (1997). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\), 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 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Families, moduli of curves (analytic), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Teichmüller theory for Riemann 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 Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Differentials on Riemann surfaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Algebraic functions and function fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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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 in 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 A. Picone, Automorphisms of generalized algebraic geometry codes, Ph.D. Thesis, Università degli Studi di Palermo, 2007 Algebraic functions and function fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding 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 Fibrations, degenerations in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Semialgebraic sets and related spaces, Other nonalgebraically closed 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 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 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 Khudaverdian, H.M.; Mkrtchyan, R.L., Diophantine equations, platonic solids, mckay correspondence, equivelar maps and Vogel's universality, J. geom. phys., 114, 85-90, (2017) Cubic and quartic Diophantine equations, Curves of arbitrary genus or genus \(\ne 1\) over global fields, McKay correspondence, Simple, semisimple, reductive (super)algebras, Three-dimensional polytopes
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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 Valued fields, Transcendental field extensions, General valuation theory for fields, Algebraic functions and function fields in algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
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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, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, 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 Zeng, J.; Yin, L., On the computation of coefficients of modular forms: the reduction modulo \textit{p} approach, Math. Comp., 84, 1469-1488, (2015) Fourier coefficients of automorphic forms, Curves over finite and local fields, Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, 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 Polynomials over finite fields, 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 González-Jiménez, Enrique; Tornero, José M., Torsion of rational elliptic curves over quadratic fields II, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, 110, 1, 121-143, (2016) Elliptic curves over global fields, 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 G. Ellingsrud, On the representation afforded by the space of regular differentials of a group acting freely on a curve in characteristic \(p\) , Preprint, Stockholm, 1983. Algebraic functions and function fields in algebraic geometry, Group actions on varieties or schemes (quotients), 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 P.B. van Wamelen, Computing with the analytic Jacobian of a genus 2 curve, in W. Bosma, J. Cannon, M. Bronstein, A.M. Cohen, H. Cohen, D. Eisenbud, B. Sturmfels, editors, \textit{Discovering Mathematics with Magma}. Algorithms and Computation in Mathematics, vol. 19 (Springer, Berlin Heidelberg, 2006), pp. 117-135 Computational aspects of algebraic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Computational number 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 G. Van Der Geer , R. Schoof , Effectivity of Arakelov Divisors and the Theta Divisor of a Number Field . Preprint 1999 , version 3. URL: '' http://xxx.lanl.gov/abs/math/9802121 '' . arXiv | MR 1847381 Arithmetic theory of algebraic function fields, Arithmetic varieties and schemes; Arakelov theory; heights, Zeta functions and \(L\)-functions of number 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 functions and function fields in algebraic geometry, Real rational functions, Equations in general fields, Multilinear algebra, tensor calculus, Implicit ordinary differential equations, differential-algebraic equations, Research exposition (monographs, survey articles) pertaining to real functions, Continuity and differentiation questions
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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 Thakur D. : Gauss sums for function fields , J. Number Theory 37 (1991) 242-252. Arithmetic theory of algebraic function fields, Other character sums and Gauss sums, Drinfel'd modules; higher-dimensional motives, etc., 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 Koh-ichi Nagao, An example of elliptic curve over \?(\?) with rank \ge 13, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 5, 152 -- 153. Elliptic curves, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry, Elliptic curves 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 Van Der Poorten, A.: Elliptic curves and continued fractions. Journal of integer sequences 8, No. 2, 1-19 (2005) Continued fractions, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves, Special sequences and polynomials, 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 Ballet, Stéphane; Bonnecaze, Alexis; Tukumuli, Mila, On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields, J. Algebra Appl., 0219-4988, 15, 1, 1650005, 26 pp., (2016) Number-theoretic algorithms; complexity, Structure theory for finite fields and commutative rings (number-theoretic aspects), Arithmetic theory of algebraic function fields, Elliptic curves, Cryptography
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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 doi:10.4064/aa108-1-3 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 M. Stoll, ''Finite descent obstructions and rational points on curves,'' Algebra Number Theory, vol. 1, iss. 4, pp. 349-391, 2007. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Abelian varieties of dimension \(> 1\), Coverings of curves, fundamental group
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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 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Galois theory, Arithmetic theory of algebraic function fields, Rationality questions in algebraic geometry, Higher symbols, Milnor \(K\)-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 Linear algebraic groups over local fields and their integers, Algebraic functions and function fields in algebraic geometry, Groups acting on trees, Groups with a \(BN\)-pair; buildings
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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 Applications to coding theory and cryptography of arithmetic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Curves over finite and local fields, 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 Differential algebra, 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, Automorphisms of curves, Plane and space 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 Picard groups, \(K3\) surfaces and Enriques surfaces, Elliptic 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 Reguera López, A.: Semigroups and clusters at infinitiy. Algebraic geometry and singularities (La Rábida, 1991), Progr. Math., vol. 134, pp. 339-374. Birkhäuser, Basel (1996) Algebraic functions and function fields in algebraic geometry, Ramification problems 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, Higher degree equations; Fermat's equation, 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 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 Blum, A., Stuhler, U.: Drinfeld modules and elliptic sheaves. In: Kumar, S., Laumon, G., Stuhler, U., Narasimhan, M. S. (eds.) Vector Bundles on Curves: New Directions. Lecture Notes in Mathematics, vol. 1649, pp. 110--188. Springer-Verlag, Berlin (1991) Drinfel'd modules; higher-dimensional motives, etc., Finite ground fields in algebraic geometry, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, 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 Nagell, T.: [3] ''Les points exceptionnels sur les cubiques planes du premier genre'', II, ibid. Nova Acta Reg. Soc. Sci. Upsaliensis, Ser. IV, 14, 1946, No. 3. Algebraic functions and function fields in algebraic geometry, 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 Higher degree equations; Fermat's equation, Abelian varieties of dimension \(> 1\), Arithmetic aspects of modular and Shimura varieties, 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 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)
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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 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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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, Higher degree equations; Fermat's equation, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties
| 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 Combinatorial codes, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry, Bounds on codes
| 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 Bruin, N; Doerksen, K, The arithmetic of genus two curves with \((4,4)\)-split Jacobians, Can. J. Math., 63, 992-1021, (2011) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Period matrices, variation of Hodge structure; degenerations
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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, Finiteness results in descent theory, J. London Math. Soc. 68 pp 52-- (2003) Global ground fields in algebraic geometry, 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 G. CORNELISSEN - F. KATO, Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic, Duke Math. J., 116 (2003), pp. 431-470. Zbl1092.14032 MR1958094 Rigid analytic geometry, Formal methods and deformations in algebraic geometry, Automorphisms of curves, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic ground fields for curves, 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 Bernard, N.; Leprévost, F.; Pohst, M., Jacobians of genus-2 curves with a rational point of order 11, Exp. Math., 18, 1, 65-70, (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Jacobians, Prym varieties
| 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
| 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 Higher degree equations; Fermat's equation, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, 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 Algebraic functions and function fields in algebraic geometry, Automorphisms of 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 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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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 Lee, J.; Murty, M. Ram, An application of Mumford's gap principle, J. Number Theory, 105, 333-343, (2004) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Heights, Rational points
| 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 External book reviews, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions of number fields, Arithmetic theory of algebraic function fields, Zeta functions and \(L\)-functions
| 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, Low codimension problems in algebraic geometry, Surfaces and higher-dimensional varieties
| 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 Schoen, C., Zero cycles modulo rational equivalence for some varieties over fields of transcendence degree one, Proc. Symp. Pure Math. 46 (1987), part 2, pp. 463-473. Algebraic cycles, (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, 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 DOI: 10.1142/S1793042111004502 Approximation in non-Archimedean valuations, 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 K.~Kato, {A {H}asse principle for two dimensional global fields. With an appendix by {J}.-{L} {C}olliot-{T}hélène.}, J. Reine Angew. Math. {366} (1986), 142--180. DOI 10.1515/crll.1986.366.142; zbl 0576.12012; MR0833016 Galois cohomology, Brauer groups of schemes, Quadratic forms over global rings and fields, Galois cohomology, Quaternion and other division algebras: arithmetic, zeta functions, Waring's problem and variants, 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 Heights, Varieties over global fields, Rational points, Diophantine equations in many variables, 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 Samir Siksek, Descent on Picard groups using functions on curves, Bull. Austral. Math. Soc. 66 (2002), no. 1, 119 -- 124. Arithmetic ground fields for curves, Picard groups, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground 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, Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Transcendental methods of algebraic geometry (complex-analytic aspects)
| 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 Jennings, G.: Modern Geometry with Applications. Springer, New York (1994) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry, Elementary problems in Euclidean geometries, Elementary problems in hyperbolic and elliptic geometries, Classical or axiomatic geometry and physics, Algebraic functions and function fields in algebraic geometry, Special relativity, Projective analytic 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 Algebraic functions and function fields in algebraic geometry, Finite fields (field-theoretic aspects)
| 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 Goss, D, Units and class groups in the arithmetic of function fields, Bull. Am. Math. Soc., 13, 131-132, (1985) Arithmetic theory of algebraic function fields, Finite ground 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 Groups acting on trees, Other matrix groups over rings, Algebraic functions and function fields in algebraic geometry, Cohomology of groups, Linear algebraic groups over global fields and their integers, Cohomology of arithmetic groups
| 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 Zhang, S: Geometry of algebraic points. In: Yang, L., Yau, S.T. (eds.) First International Congress of Chinese Mathematicians, Beijing, 1998. AMS/IP Stud. Adv. Math., vol. 20, pp. 185-198. American Mathematical Society/International Press, Providence, RI (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Varieties over global fields, Heights, Rational points
| 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 Fukshansky, L, Algebraic points of small height missing union of varieties, J. Number Theory, 130, 2099-2118, (2010) Heights, Lattices and convex bodies (number-theoretic aspects), Algebraic numbers; rings of algebraic integers, Arithmetic theory of algebraic function fields, 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 Tutaj, H.: Geometric proof of M. Noether's genus formula, Universitatis iagellonicae acta Mathematica 30 (1993) Special algebraic curves and curves of low genus, Singularities of curves, local rings, 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 Kulesz, L.; Application de la méthode de Dem'janenko-Manin à certaines familles de courbes de genre 2 et 3; J. Number Theory: 1999; Volume 76 ,130-146. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Arithmetic ground fields for curves, Elliptic 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 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
| 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 Boutabaa, A.; Escassut, A.: Parametrization of curves in characteristic p, Commentarii mathematici universitatis sancti Pauli 53, No. 2, 205-217 (2004) Algebraic functions and function fields in algebraic geometry, Non-Archimedean function theory
| 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 N. Anbar, P. Beelen, N. Nguyen, A new tower meeting Zink's bound with good \(p\)-rank, appeared online 18 January 2017 in Acta Arithmetica. Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic 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 Bars, F.: Bielliptic modular curves. J. Number Theory 76 (1999), no. 1, 154-165. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Algebraic theory of abelian varieties
| 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 Nakajima, S.: On automorphism groups of algebraic curves. In: Current Trends in Number Theory, pp. 129--134. Hindustan Book Agency, New Delhi (2002) Automorphisms of curves, Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group, Jacobians, Prym varieties
| 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 varieties and schemes; Arakelov theory; heights, 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 Modular and Shimura varieties, Graphs and abstract algebra (groups, rings, fields, etc.), Infinite graphs, Algebraic functions and function fields in algebraic geometry, Arithmetic dynamics on general algebraic varieties
| 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 Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Well-distributed sequences and other variations
| 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 Linear algebraic groups over global fields and their integers, Other nonalgebraically closed ground fields in algebraic geometry, Galois cohomology of linear algebraic groups, 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 Chabauty, Claude, Sur LES points rationnels des courbes algébriques de genre supérieur à l'unité, C. R. Acad. Sci. Paris, 212, 882-885, (1941), (French), MR0004484 Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Draziotis, K; Poulakis, D, Explicit Chevalley-Weil theorem for affine plane curves, Rocky Mt. J. Math., 39, 49-70, (2009) Plane and space curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group, Classification of affine varieties
| 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 Grant, D.: Integer points on curves of genus two and their Jacobians. Trans. amer. Math. soc. 344, No. 1, 79-100 (1994) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Abelian varieties of dimension \(> 1\)
| 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 Dinesh S. Thakur , Power sums of polynomials over finite fields and applications: a survey , Finite Fields Appl. 32 (2015), p. 171-191 - ISSN : 2118-8572 (online) 1246-7405 (print) - Société Arithmétique de Bordeaux Arithmetic theory of polynomial rings over finite fields, Research exposition (monographs, survey articles) pertaining to number theory, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Multiple Dirichlet series and zeta functions and multizeta values, Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobians, Prym varieties
| 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 S. Molinelli, D.P. Patil and G. Tamone, On the Cohen-Macaulayness of the associated graded ring of certain monomial curves , Beiträge zur Algebra und Geometrie \emdash/ Contributions to Algebra and Geometry 39 (1998), 433-446. Cohen-Macaulay modules, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, 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 Algebraic functions and function fields in algebraic geometry
| 0
|
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 Michel Van den Bergh, Division algebras on \?² of odd index, ramified along a smooth elliptic curve are cyclic, Algèbre non commutative, groupes quantiques et invariants (Reims, 1995) Sémin. Congr., vol. 2, Soc. Math. France, Paris, 1997, pp. 43 -- 53 (English, with English and French summaries). Finite-dimensional division rings, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes
| 0
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