text
stringlengths 68
2.01k
| label
int64 0
1
|
|---|---|
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, Groups with no parametric Galois realizations, Ann. sci. éc. norm. supér., (2016), in press Inverse Galois theory, Arithmetic theory of algebraic function fields, Coverings in algebraic geometry, Ramification problems in algebraic geometry, Field arithmetic
| 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 Automorphisms of curves, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
| 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 Automorphisms of curves, 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 Tan S.-L, J. Reine Angew. Math. 461 pp 123-- (1995) Algebraic functions and function fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points
| 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 Quadratic and bilinear Diophantine equations, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Plane and space curves
| 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 Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves, 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 Coverings in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Enumerative problems (combinatorial problems) in algebraic geometry, Multiply transitive finite groups, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Monodromy on manifolds
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, Number-theoretic algorithms; complexity
| 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 Polynomials over finite 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
| 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 N. Elkies, \(ABC\) implies Mordell, Int. Math. Res. Notices (1991), no. 7, 99--109. Diophantine inequalities, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
| 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 Rational points, Arithmetic ground fields for curves, Hyperbolic and Kobayashi hyperbolic manifolds, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Value distribution theory in higher dimensions, Arithmetic theory of algebraic function fields
| 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 Wajngurt, C.: Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication. J. number theory 23, 80-85 (1986) Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Cubic and quartic Diophantine equations, Rational points, Algebraic functions and function fields in algebraic geometry, Elliptic curves
| 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 Arithmetic theory of algebraic function fields, Algebraic number theory computations, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects)
| 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 Families, moduli of curves (algebraic), Algebraic functions and function fields in algebraic geometry, Stacks and moduli problems
| 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 Algebraic field extensions, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Algebraic number theory: 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 Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 Ballet, Stéphane; Chaumine, Jean, On the bounds of the bilinear complexity of multiplication in some finite fields, Appl. Algebra Engrg. Comm. Comput., 0938-1279, 15, 3-4, 205-211, (2004) Curves over finite and local fields, Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Number-theoretic algorithms; complexity, Finite ground fields in algebraic geometry, Analysis of algorithms and problem complexity
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cubic and quartic Diophantine equations, Rational points, Arithmetic ground fields for curves
| 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 Danisman, Y.; Özdemir, M., On subfields of GK and generalized GK function fields, \textit{J. Korean Math. Soc.}, 52, 2, 225-237, (2015) Algebraic functions and function fields in algebraic geometry, Automorphisms of curves
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Galois cohomology of linear algebraic groups, Asymptotic results on counting functions for algebraic and topological structures, Rational points, Global ground fields in algebraic geometry, Jacobians, Prym varieties, Special algebraic curves and curves of low genus
| 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 Other types of codes, Geometric methods (including applications of algebraic geometry) applied to coding theory, Finite ground fields in algebraic geometry, 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 Jeong, S.: Rational points on algebraic curves that change genus. J. number theory 67, 170-181 (1998) Rational points, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus
| 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 Varieties over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Hyperbolic and Kobayashi hyperbolic manifolds, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves
| 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 Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Modular and Shimura varieties
| 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 Çakçak, E.; Özbudak, F., Number of rational places of subfields of the function field of the Deligne-Lusztig curve of ree type, \textit{Acta Arith}, 120, 1, 79-106, (2005) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground 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 Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties
| 0
|
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, Heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Counting solutions of Diophantine equations, Quadratic forms over global rings and fields, Global ground fields in algebraic geometry
| 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 Algebraic functions and function fields in algebraic geometry, Automorphisms of curves, Plane and space curves
| 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 General theory of difference equations, Growth, boundedness, comparison of solutions to difference equations, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus
| 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 Aleshnikov, I.; Kumar, V.P.; Shum, K.W.; Stichtenoth, H., On the splitting of places in a tower of function fields meeting the Drinfeld-vlădųt bound, IEEE trans. inf. theory, 47, 4, 1613-1619, (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Bounds on codes, Arithmetic theory of algebraic function fields
| 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 Ramification problems in algebraic geometry, Inverse Galois theory, Arithmetic theory of algebraic function fields, Coverings in algebraic geometry, Field arithmetic, Arithmetic algebraic geometry (Diophantine 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 R. Salvati Manni, On Jacobi's formula in the not necessarily azygetic case, American Journal of Mathematics 108 (1986), 953--972. Theta functions and abelian varieties, 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 DOI: 10.1016/j.jnt.2012.09.023 Algebraic cycles, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Finite ground fields in algebraic geometry, Subvarieties of abelian varieties, Étale and other Grothendieck topologies and (co)homologies
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Transcendental methods, Hodge theory (algebro-geometric aspects), Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Galois representations
| 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 Automata sequences, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves
| 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 Rational points, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic 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 Y. KUSUNOKI AND F. MAITANI, Variations of abelian differentials under quasi-conformal deformations, Math. Z., 181 (1982), 435-450. Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Period matrices, variation of Hodge structure; degenerations, Differentials on Riemann surfaces, 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 Bröcker, L.; Schülting, H. W.: Valuation theory from the geometrical point of view. J. reine angew. Math. 365, 12-32 (1986) Model theory of fields, Valued fields, Algebraic functions and function fields in algebraic geometry, Model-theoretic algebra
| 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 Lercier, R.; Ritzenthaler, C.; Sijsling, J., Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent, (ANTS X--Proceedings of the Tenth Algorithmic Number Theory Symposium. ANTS X--Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Ser., vol. 1, (2013), Math. Sci. Publ.: Math. Sci. Publ. Berkeley, CA), 463-486 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, Special algebraic curves and curves of low genus
| 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 [7]I. Cascudo, R. Cramer and C. Xing, Torsion limits and Riemann--Roch systems for function fields and applications, IEEE Trans. Information Theory 60 (2014), 3871--3888. Algebraic functions and function fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Combinatorial codes
| 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 M. Koike, ''Higher reciprocity law, modular forms of weight 1, and elliptic curves,''Nagoya Math. J.,98, 109--115 (1985). Langlands-Weil conjectures, nonabelian class field theory, Holomorphic modular forms of integral weight, Galois representations, 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 Pollack, A.: Relations between derivations arising from modular forms, Ph.D. thesis. Duke University (2009) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 J. Elias , On the analytic equivalence of curves . Proc. Camb. Phil. Soc. 100, 1, 57-64 (1986). 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 Other number fields, Hilbertian fields; Hilbert's irreducibility theorem, 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 Shor, Caleb M., Higher-order Weierstrass weights of branch points on superelliptic curves, (Malmendier, A.; Shaska, T., Algebraic curves and their fibrations in mathematical physics and arithmetic geometry, Contemp. math., (2017), Amer. Math. Soc.), to appear Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 E. Schaefer, ''Computing a Selmer Group of a Jacobian Using Functions on the Curve,'' Math. Ann. 310, 447--471 (1998); ''Erratum,'' Math. Ann. 339, 1 (2007). Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Cubic and quartic Diophantine equations
| 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 Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Fibrations, degenerations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Maps between classifying spaces in algebraic topology, Stacks and moduli problems, Representation theory for linear algebraic groups
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
| 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 Finite-dimensional division rings, Forms over real fields, Quadratic forms over general fields, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces
| 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 Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group, Automorphisms of curves
| 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 Modular and automorphic functions, Fourier coefficients of automorphic forms, 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 Abhyankar, S. S., Some remarks on the Jacobian conjecture, \textit{Proc. Indian Acad. Sci. (Math. Sci.)}, 104, 3, 515-542, (1994) Polynomial rings and ideals; rings of integer-valued polynomials, 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 Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group
| 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 Laumon, G., La correspondance de Langlands sur LES corps de fonctions (d'après Laurent lafforgue), No. 276, 207-265, (2002) Langlands-Weil conjectures, nonabelian class field theory, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Modular forms associated to Drinfel'd modules, Algebraic moduli problems, moduli of vector bundles, Representation-theoretic methods; automorphic representations over local and global fields
| 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 B. Green, Geometric families of constant reductions and the Skolem property, Trans. Amer. Math. Soc. 350 (1998), no. 4, 1379-1393. Valued fields, Arithmetic theory of algebraic function fields, Arithmetic ground fields for surfaces or higher-dimensional varieties, Global ground 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 R. Fuhrmann and F. Torres. The genus of curves over finite fields with many rational points. Manuscripta Math., 89(1) (1996), 103--106. Curves over finite and local fields, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves
| 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry, General histories, source books, Linear incidence geometric structures with parallelism, Affine analytic geometry, Projective analytic geometry, Euclidean analytic geometry, Questions of classical algebraic geometry, Algebraic functions and function fields in algebraic geometry, Projective techniques 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 Eisenträger, K., Hilbert's tenth problem for function fields of varieties over number fields and p-adic fields, J. Algebra, 310, 775-792, (2007) Decidability (number-theoretic aspects), Basic properties of first-order languages and structures, Rational points, Arithmetic theory of algebraic function fields
| 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 Popescu, D.: On Zariski's uniformization theorem. Lect. notes in math. 1056 (1984) Applications of logic to commutative algebra, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Arithmetic theory of algebraic function fields, Valuation rings, Field extensions, Principal ideal rings, Relevant commutative algebra
| 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 Berndt, Rolf, Sur l'arithmétique du corps des fonctions elliptiques de niveau~{\(N\)}, Seminar on Number Theory, {P}aris 1982--83 ({P}aris, 1982/1983), Progr. Math., 51, 21-32, (1984), Birkhäuser Boston, Boston, MA Modular and automorphic functions, Jacobi forms, Arithmetic theory of algebraic function fields, Homogeneous spaces and generalizations, General theory of automorphic functions of several complex variables
| 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 F.\ A. Bogomolov and Y. Tschinkel, Commuting elements of Galois groups of function fields, Motives, polylogarithms and Hodge theory. Part I (Irvine 1998), Int. Press Lect. Ser. 3, International Press, Somerville (2002), 75-120. Arithmetic theory of algebraic function fields, Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Configurations and arrangements of linear subspaces
| 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 Algebraic functions and function fields in algebraic geometry, Period matrices, variation of Hodge structure; degenerations, Classification theory of Riemann surfaces
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, Global ground 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 Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory
| 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 \(p\)-adic differential equations, Algebraic functions and function fields in algebraic geometry, Local deformation theory, Artin approximation, etc., Local ground 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 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 Arithmetic theory of algebraic function fields, Rational points
| 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 Number-theoretic algorithms; complexity, Analysis of algorithms and problem complexity, Algebraic functions and function fields in algebraic geometry, Finite fields (field-theoretic aspects)
| 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 Kapranov, M.: A higher-dimensional generalization of the goss zeta function. J. number theory 50, 363-375 (1995) Arithmetic theory of algebraic function fields, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of polynomial rings over finite fields, Varieties over finite and local fields, Finite ground 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 K.-U. Schmidt, Y. Zhou, Planar functions over fields of characteristic two. \textit{J. Algebraic Combin}. \textbf{40} (2014), 503-526. MR3239294 Zbl 1319.51008 Finite affine and projective planes (geometric aspects), Linear codes (general theory), Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), Algebraic coding theory; cryptography (number-theoretic aspects), 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 A. Levin, Vojta's inequality and rational and integral points of bounded degree on curves, Compos. Math. 143 (2007), no. 1, 73-81. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves
| 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 Voloch, J. F.: Primitive points on constant elliptic curves over function fields. Bol. soc. Bras. mat. 21, No. 1, 91-94 (1990) Elliptic curves, Algebraic functions and function fields in algebraic geometry, Finite ground 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 Arithmetic theory of algebraic function fields, Zeta and \(L\)-functions in characteristic \(p\), Structure of families (Picard-Lefschetz, monodromy, etc.)
| 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 Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic cycles, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
| 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 T. Hibino and N. Murabayashi: Modular equations of hyperelliptic \(X_0(N)\) and an application , Acta Arith. 82 (1997), 279--291. Holomorphic modular forms of integral weight, Special algebraic curves and curves of low genus, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 Stoll, M., \textit{implementing 2-descent for Jacobians of hyperelliptic curves}, Acta Arithmetica, XCVIII.3, 245-277, (2001) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for curves, Jacobians, Prym varieties, Number-theoretic algorithms; complexity, Computational aspects of algebraic curves
| 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 Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Families, moduli of curves (algebraic), Arithmetic ground fields for curves
| 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 Riemann-Roch theorems, Divisors, linear systems, invertible sheaves, 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 Group schemes, Symbols, presentations and stability of \(K_2\), 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 Kashiwara, H., Fonctions rationnelles de type (0, 1) sur le plan projectif complexe, Osaka J. Math.,, 24, 521-577, (1987) Algebraic functions and function fields in algebraic geometry, Projective techniques in algebraic geometry, Meromorphic functions of several complex variables
| 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 T. Kodama, Note on Functional Divisors of Algebraic Function Fields of one Variable. Mem. Fac. Sc., Kyushu Univ., Ser. A19, No. 2, 61--66 (1965). 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 [3]S. Arias-de-Reyna, W. Gajda, and S. Petersen, Big monodromy theorem for abelian varieties over finitely generated fields, J. Pure Appl. Algebra 217 (2013), 218--229. Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for abelian varieties
| 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 Li, W. -C.W.: Modularity of asymptotically optimal towers of function fields. Coding, cryptography and combinatorics, 51-65 (2004) Applications to coding theory and cryptography of arithmetic geometry, Rational points, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic theory of algebraic function fields
| 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 McCallum, William; Poonen, Bjorn, The method of Chabauty and Coleman, explicit methods in number theory, Panor. Synthèses, vol. 36, 99-117, (2012), Soc. Math. France Paris, (English, with English and French summaries), MR3098132 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Analytic theory of abelian varieties; abelian integrals and differentials
| 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 Generalizations (algebraic spaces, stacks), Picard groups, Algebraic moduli problems, moduli of vector bundles, 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 F. Heß, Computing Riemann--Roch spaces in algebraic function fields and related topics. J. Symb. Comput. 33, 425--445 (2002) Computational aspects of algebraic curves, Algebraic functions and function fields in algebraic geometry, Riemann-Roch theorems, Software, source code, etc. for problems pertaining to 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 Modular and automorphic functions, Structure of modular groups and generalizations; arithmetic groups, Automorphic forms, one variable, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 Dedekind, R.: Gesammelte mathematische Werke. Bände I-III. Herausgegeben von Robert Fricke, Emmy Noether und Öystein Ore. Chelsea Publishing Co., New York (1968) Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 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 Mestre, J. F.: Courbes hyperelliptiques à multiplications réelles. C. R. Acad. sci. Paris, ser. I math. 307, 721-724 (1988) Elliptic curves, Algebraic functions and function fields in algebraic geometry, Complex multiplication and abelian varieties, Galois theory
| 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 Algebraic functions and function fields in algebraic geometry, Power series (including lacunary series) in one complex variable
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
| 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 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Isogeny
| 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 Algebraic functions and function fields in algebraic geometry, Differentials on Riemann surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Fuchsian groups and their generalizations (group-theoretic aspects), Analytic theory of abelian varieties; abelian integrals and differentials, Families, moduli of curves (analytic), Complex Lie groups, group actions on complex spaces
| 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 Plane and space curves, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory
| 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 Abelian varieties of dimension \(> 1\), Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification
| 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 Moret-Bailly, L., Hauteurs et classes de Chern sur LES surfaces arithmétiques, Astérisque, 183, 37-58, (1990) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields
| 0
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.