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group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) curves over finite fields; Ringel-Hall algebra; coherent sheaves; quantum affine algebras; automorphic forms; Drinfeld double; Heisenberg double M. Kapranov, ''Eisenstein series and quantum affine algebras,'' J. Math. Sci. (New York), vol. 84, iss. 5, pp. 1311-1360, 1997. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) coordinate ring of an irreducible affine curve; Pic; Picard group DOI: 10.1007/BF01215648 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Prym varieties; automorphisms of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) fine moduli space of smooth complex curves; fundamental group; \(n\)-pointed curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) mirror family of cubic curves; Riemann theta function; Ising model Roan, S., Mirror symmetry of elliptic curves and Ising model, J. Geom. Phys., 20, 273-296, (1996) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) group of automorphisms of algebraic variety; group of univalent algebraic correspondences | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) finite fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) rational curves; degenerations of hypersurfaces; Hilbert scheme; Chern class; Segre class; Chow group | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) trigonal curves; algebraic stack; stack of smooth curves; Picard group of a stack; stack of vector bundles on a conic Bolognesi, M; Vistoli, A, Stacks of trigonal curves, Trans. Am. Math. Soc., 364, 3365-3393, (2012) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Riemann surface; moduli space of semistable vector bundles on curves; non-abelian theta-function; determinant line bundle; theta divisor; trisecant identity Ben-Zvi, David and Biswas, Indranil, Theta functions and {S}zegő kernels, International Mathematics Research Notices, 2003, 24, 1305-1340, (2003) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) division points of Drinfeld modules; arithmetic of function fields; class numbers; cyclotomic function fields; zeta-functions; Teichmüller characters; Artin conjecture; Artin L-series; p-adic measure; Main conjecture of Iwasawa theory; Frobenius; p-class groups; Bernoulli- Carlitz numbers Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) complex multiplication; elliptic curves; Hecke characters of imaginary quadratic fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) algebraic variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) density of integer points; symmetric space; affine variety; volume function; regularizing Eisenstein periods Good, A.: The convolution method for Dirichlet series. In: \textit{The Selberg trace formula and related topics (Brunswick, Maine, 1984)}, volume~53 of \textit{Contemp. Math.}, pages 207-214. Amer. Math. Soc., Providence, RI, (1986) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) \(p\)-divisible group; modular elliptic curves; Galois representation; companion form; tame ramification; cuspidal eigenform; Kodaira-Spencer pairing; Serre-Tate pairing; Tate module of the Jacobian; de Rham cohomology of the Igusa curve Robert, F, Coleman and josé felipe voloch, companion forms and Kodaira-spencer theory, Invent. Math., 110, 263-281, (1992) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) characteristic p; finite generation of Witt groups of curves; Witt group of a conic Parimala R, Witt groups of conics, elliptic and hyperelliptic curves,J. Number Theory 28 (1988) 69--93 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) rational points; Néron-Severi group; Jacobian variety; Néron-Tate pairing; number of fixed points; Thue curves; number of integral points | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cubic differential system; configuration of invariant straight lines; multiplicity of an invariant straight line; group action; affine invariant polynomial Guangjian, S., Jifang, S.: The n-degree differential system with \((n-1)(n+1)/2\) straight line solutions has no limit cycles. In: Proc. of Ordinary Differential Equations and Control Theory, Wuhan, pp. 216-220 (1987) \textbf{(in Chinese)} | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Zariski pair; Mordell-Weil group; K3 surfaces; complement of plane curves; Milnor index; Alexander polynomials E Artal Bartolo, H Tokunaga, Zariski pairs of index 19 and Mordell-Weil groups of \(K3\) surfaces, Proc. London Math. Soc. \((3)\) 80 (2000) 127 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) irreducible Galois representations; arithmetic of number fields; division points of elliptic curves; projective vectors; complex Galois representations; automorphic representations; \(\ell -adic\) representation | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) crystalline cohomology of modular curves; étale cohomology; \(p\)-divisible group; Shimura curve; Fontaine's conjecture Faltings, Gerd, Crystalline cohomology of semistable curve\textemdash the \({\mathbf Q}_p\)-theory, J. Algebraic Geom., 1056-3911, 6, 1, 1\textendash 18 pp., (1997) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) finite fields; algebraic curves; upper bound; number of rational points Hirschfeld, J. W.P.; Korchmáros, G., On the number of rational points on an algebraic curve over a finite field, Bull. Belg. Math. Soc. Simon Stevin, 5, 313-340, (1998) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves; j-invariant; modular curves; function fields Ishii, Noburo, Rational expression for \(j\)-invariant function in terms of generators of modular function fields, Int. Math. Forum, 2, 37-40, 1877-1894, (2007) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) affine variety; set of non-proper points; parametric curves; \( \mathbb{K} \)-uniruled set; degree of \(\mathbb{K} \)-uniruledness; positive characteristic | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) group action; stack; algebraic stack; quotient stack; moduli space of curves Matthieu Romagny, ''Group actions on stacks and applications'', Mich. Math. J.53 (2005) no. 1, p. 209-236 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) galois automorphisms; fundamental group of the projective line minus three points Hiroaki Nakamura, On Galois automorphisms of the fundamental group of the projective line minus three points, Math. Z. 206 (1991), no. 4, 617 -- 622. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) quadratic form; function field of a quadric; unramified Witt group; Galois cohomology; stable birational equivalence B. Kahn and A. Laghribi, A second descent problem for quadratic forms, K-Theory 29 (2003), 253--284. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) representations of a dicrete group in \(SL_ 2({\mathbb{C}})\); actions on generalized trees; hyperbolic structures on surfaces; varieties of group representations; compactification of Teichmüller space; compactifications of real and complex algebraic varieties; affine algebraic set; valuations of the coordinate ring J. Morgan, P. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I, \textit{Ann. of Math. } 120 (1984), 401--476. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Picard group; Tamagawa number; Brauer-Manin obstruction; Zbl 0991.72285; asymptotic behaviour; counting function; number of rational points of bounded height; Fano variety; geometric invariants; diagonal cubic surfaces; algorithm Peyre, E.; Tschinkel, Y., \textit{Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, Math. Comp., 70, 367-387, (2001) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) automorphisms of an affine surface; weighted degree of automorphisms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) fields of real algebraic functions; reduced Whitehead group; Hasse principle; norm mapping | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) sheaf of regular functions; first cohomology group; algebraically closed fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) weak approximation property; Brauer-Manin obstruction; abelian varieties; Tate-Shafarevich group; elliptic curves over quadratic fields L. Wang, ''Brauer-Manin obstruction to weak approximation on abelian varieties,'' Israel J. Math., vol. 94, pp. 189-200, 1996. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) étale cohomology; crystalline cohomology; period map; Tate-module of a \(p\)-divisible group; differentials; elliptic curves CREW (R.) . - Universal extensions and p-adic periods of elliptic curves , Compositio Math., t. 73, 1990 , p. 107-119. Numdam | MR 91k:11045 | Zbl 0742.14013 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) algebraic stacks; intersection theory of moduli spaces of curves; KdV equation; tau-function; matrix integral; cellular decomposition of the moduli space; intersection numbers; trivalent graphs; stable ribbon graphs Terasoma, T.: Fundamental groups of moduli spaces of hyperplane configurations. http://gauss.ms.u-tokyo.ac.jp/paper/paper.html | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) rational points; affine varieties; finite fields; complete intersection; exponential sums; asymptotic formula; upper estimate; number of integral points \beginbarticle \bauthor\binitsW. \bsnmLuo, \batitleRational points on complete intersections over \(\F_p\), \bjtitleInt. Math. Res. Not. IMRN \bvolume1999 (\byear1999), page 901-\blpage907. \endbarticle \OrigBibText W. Luo, Rational points on complete intersections over \(\F_p\), Inter. Math. Res. Notices , 1999 (1999), 901-907. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) local fields; local class field theory; Dedekind rings; different; discriminant; ramification groups; cyclotomic fields; Hasse's norm theory; cohomology of groups; Galois cohomology; Brauer group; class formation Serre, J.-P., Corps locaux, Actualités Sci. Indust., vol. 1296, (1962), Hermann | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) supersingular curves; irreducible polynomials; prescribed coefficients; binary fields; characteristic polynomial of Frobenius Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan, Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients, Finite Fields Appl., 42, 128-164, (2016) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) supersingular elliptic curves over finite fields; Weierstrass equation; number of rational points F. Morain, Classes d'isomorphismes des courbes elliptiques supersingulières en caracteristique . Util. Math. 52, 241--253 (1997) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) singular primes in function fields; extension of field of constants; genus Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (1988) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Shimura reciprocity law; arithmetic elliptic function field; automorphism group; Jacobi function of level N; Jacobi forms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) polynomial equations of genus zero and one; function field; algorithms; effective determination; diophantine equations in two unknowns; Thue equations; hyperelliptic equations; fundamental inequality; fields of positive characteristic; explicit bounds; solutions in rational functions; superelliptic equations R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 1984. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Richelot isogenies; superspecial abelian surfaces; reduced group of automorphisms; genus-2 isogeny cryptography | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) braid monodromy factorizations; branch curves; fundamental group; invariant of a surface Mina Teicher, New invariants for surfaces, Tel Aviv Topology Conference: Rothenberg Festschrift (1998), Contemp. Math., vol. 231, Amer. Math. Soc., Providence, RI, 1999, pp. 271 -- 281. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) survey of the group law algorithms; generalized Jacobian; hyperelliptic curves; cryptography; Arita-Miura-Sekiguchi algorithm | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Jacobians; linear systems on curves; rank of the Néron-Severi group | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) postulation; arithmetically Cohen-Macaulay space curve; complete intersection; numerically subcanonical curves; Hilbert function of a general hyperplane section | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) polylogarithm; motivic Galois group; Zagier conjecture; mixed Tate category; mixed motivic Tate sheaves; \(K\)-theory; fiber functor; Beilinson-Soulé conjecture; Milnor \(K\)-theory; value of the Dedekind zeta-function at integer points A.B. Goncharov, \textit{Polylogarithms and motivic Galois group}, Proceedings of the Symposium on Pure Mathematics 55, American Mathematical Society, Providence U.S.A. (1994). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) semisimple Lie group; representation of the fundamental group; Higgs bundle; moduli space; Hermitian symmetric space; Morse function Bradlow, S. B.; García-Prada, O.; Gothen, P. B., Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geom. Dedic., 122, 185-213, (2006) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) genus; rational places; existence of algebraic function fields; Abelian extensions; different [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) algebraic curves; geometric Goppa codes; algebraic function fields; Skorobogatov-Vladut decoding algorithm; Riemann-Roch theorem; asymptotic Gilbert bound Pretzel O.: Codes and Algebraic Curves. Oxford Lecture Series in Mathematics and Its Applications, vol. 8. The Clarendon Press/Oxford University Press, New York (1998). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cyclic group automorphisms; Neron-Severi group; Jacobian; ring of endomorphisms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Artin conductor; efficient conductor; curves over local fields; sheaf of differential modules | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Hyperelliptic curves; p-ranks, wild ramification, automorphisms of curves DOI: 10.1142/S1793042109002468 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) vertex operator; parabolic bundle; Verlinde formula; Clebsch-Gordan condition; two dimensional conformal field theory; affine Lie algebra; conformal vacua; highest weight; moduli space of curves Franco, D.: An infinitesimal Torelli for conformal vacua. Comm. Algebra 31, 3795--3810 (2003) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) fundamental groups of curves; positive characteristic; quotients of the fundamental group; Abhyankar's conjecture; formal/rigid-analytic patching -, Fundamental groups of curves in characteristic \(p\), in Proceedings of the International Congress of Mathematicians, 1, 2 (Zürich, 1994), Birkhäuser, 1995, pp. 656-666. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Galois representation; anabelian geometry; braid group; pro-\(l\) fundamental groups; groups of graded automorphisms; graded Lie algebras DOI: 10.1090/S0002-9947-98-02038-8 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) hyperelliptic curves; finite Galois extension of degree n; Galois group; set of K-linear maps | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) representation of finitely generated group; rational representations of pro-affine algebraic group; tangent spaces of the representation varieties; twist operation; orbits 6. Lubotzky, Alexander and Magid, Andy R. Varieties of representations of finitely generated groups \textit{Mem. Amer. Math. Soc.}58 (1985) 117 Math Reviews MR818915 (87c:20021) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Namba's conjecture; hypergeometric series over finite fields; elliptic curves; trace of the Frobenius map Koike, M., Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields, Hiroshima Math. J., 25, 1, 43-52, (1995) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) affine group over the integers; Klein program; complete orbit invariant; Turing-computable invariant; \(\mathsf{GL}(n,\mathbb{Z})\)-orbit; (Farey)regular simplex; regular complex; desingularization; strong Oda conjecture; Hirzebruch-Jung continued fraction algorithm; rational polyhedron; conic; conjugate diameters; Apollonius of Perga; Pappus of Alexandria; quadratic form; Clifford-Hasse-Witt invariant; Hasse-Minkowski theorem; Markov unrecognizability theorem | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) fixed point varieties on affine flag manifolds; simply connected semisimple algebraic group; variety of Borel subalgebras; Iwahori subalgebras; projective algebraic varieties; nilpotent orbits Chen, Z.: Truncated affine grassmannians and truncated affine Springer fibers for \({\mathrm GL}_{3}\). arXiv:1401.1930 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) arithmetic of rational points; varieties over function fields; cardinaltiy of the set of fibrations; uniform boundedness of rational points; distribution of rational points | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Brauer group; function field of the projective line Mestre, J.F. 1994.Annulation, par changement de variable, d'éléments de Br2(k(x)) ayant quatre pôles, SÉrie I Vol. 319, 529--532. Paris: C. R. Acad. Sci. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) symmetric function; \(k\)-Schur function; Young tableaux; \(k\)-core; Coxeter group; Littlewood-Richardson coefficient; affine Grassmannian Berg, C.; Saliola, F.; Serrano, L., Combinatorial expansions for families of non-commutative \textit{k}-Schur functions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) upper bounds; divisors on algebraic curves over finite fields; minimum distance of geometric Goppa codes; gonality; modular curves; Gilbert- Varshamov bound; decoding algorithms Pellikaan R.: On the gonality of curves, abundant codes and decoding. In: Coding Theory and Algebraic Geometry, Luminy, 1991. Lecture Notes in Mathematics, vol. 1518, pp. 132--144. Springer, Berlin (1992). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Frobenius-linear endomorphism of De Rham cohomology group; Jacobian of the Fermat curve; crystalline Weil group; Frobenius matrices; Morita gamma function R. Coleman, On the Frobenius matrices of Fermat curves, \textit{p}-adic analysis, Lecture Notes in Math. 1454, Springer, Berlin (1990), 173-193. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) rationality problem, linear group quotients, affine extensions of semi-simple groups Bogomolov F., Böhning Chr., Graf von Bothmer H.-Chr., Rationality of quotients by linear actions of affine groups, Sci. China Math. (in press), DOI: 10.1007/s11425-010-4127-z | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) ordered fields; dense orbits property; automorphisms acting on spaces of orderings; behavior under field extensions; formally real field Gamboa J.\ M. and Recio T., Ordered fields with the dense orbits property, J. Pure Appl. Algebra 30 (1983), 237-246. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Bogomolov conjecture over function fields; discrete embedding of curve; Néron-Tate height pairing; admissible pairing; Green function; semistable arithmetic surface A. Moriwaki, Bogomolov conjecture over function fields for stable curves with only irreducible fibers, Compos. Math. 105 (1997), 125-140. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) computer algebra; polynomial factorization; reducible curves; function fields; divisors; algebraic extensions Duval D (1991) Absolute factorization of polynomials: a geometric approach. SIAM J Comput 20:1--21 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Dirichlet twists of \(L\)-functions; Elliptic curves over number fields Fearnley, J.; Kisilevsky, H.; Kuwata, M., Vanishing and non-vanishing Dirichlet twists of \textit{L}-functions of elliptic curves, J. lond. math. soc. (2), 86, 2, 539-557, (2012) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves with rank \(\geq 12\); curves over function fields Jean-François Mestre, Courbes elliptiques de rang \ge 12 sur \?(\?), C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 4, 171 -- 174 (French, with English summary). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Mal'tsev completion of a discrete group; affine algebraic group; mapping class group; pro-unipotent completion; Torelli group; algebraic 1-cycle; Jacobian of an algebraic curve Hain, R., Completions of mapping class groups and the cycle \(C - C^-\), Contemp. math., 150, 75-105, (1993) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) function fields; plane cubics of genus one; exceptional points Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) moduli space of hyperelliptic curves of arbitrary genus; moduli spaces for hyperelliptic curves with group action | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) differential Horace lemma; prescribed singularities; Picard group; cohomology groups of line bundles; plane curves; geometric genus Mignon, T., Courbes lisses sur les surfaces rationnelles génériques: Un lemme d'Horace différentiel, Ann. Inst. Fourier (Grenoble), 50, 6, 1709-1744, (2000) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) arithmetic surface; Arakelov theory; discriminant; pairing on curves; intersection number of horizontal divisors; Green's functions; divisor group Harbater, D.: Arithmetic discriminants and horizontal intersections. Mathematische annalen 291, 705-724 (1991) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) towers of function fields; genus; number of places [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Brauer group; Prym variety; symmetric product of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) hyperelliptic curves; hyperelliptic function fields; algebraic function field; holomorphic differentials; Hasse-Witt matrix; Cartier operator Kodama,T.,Washio,T.: Hasse-Witt matrices of hyperelliptic function fields. Sci. Bull. Fac. Educ. Nagasaki Univ.37, 9-15 (1986) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Heisenberg group; deformation theory; stack; hyperelliptic curves; moduli of vector bundles; heat equations; heat operators; Hitchin's connection DOI: 10.1090/S0894-0347-98-00252-5 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) number of points on Fermat curves over finite fields; intersection multiplicity; Bézout's theorem; Frobenius degeneration; intersection multiplicities Hefez, A.; Kakuta, N.: New bounds for Fermat curves over finite fields. Contemp. math. 123, 89-97 (1991) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation; defect; ramification index | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cohomology of function field of a curve; complete discretely valued field; function ring of curves; existence of noncrossed product division algebras; function field of \(p\)-adic curve E. Brussel and E. Tengan, \textit{Formal constructions in the Brauer group of the function field of a p-adic curve}, Transactions of the American Mathematical Society, to appear. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) moduli spaces; projective varieties; classifying spaces; group cohomology; group homology; symmetry marked moduli spaces; group of automorphisms; Bagnera-de Franchis varieties; absolute Galois group Catanese, F., Topological methods in moduli theory, Bull. Math. Sci., 5, 3, 287-449, (2015) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) number of mappings of algebraic curves; theorem of De Franchis; Mordell's conjecture over functions fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) graded Azumaya algebras; generalized Brauer group of algebras; group of grade-preserving automorphisms; central algebras Beattie, M.: Computing the Brauer group of graded Azumaya algebras from its subgroups. J. algebra 101, 339-349 (1986) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) curves defined over fields of formal power series; reciprocity law; bad reduction Douai, Jean-Claude; Touibi, Chedly: Courbes définies sur LES corps de séries formelles et loi de réciprocité. Acta arith. 42, No. 1, 101-106 (1982/1983) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) surfaces of general type; quotients of products of curves; finite group actions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves over function fields; bad reduction; \(j\)-invariant; function field; Weierstrass equation | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) moduli spaces of curves; curves with level structures; mapping class groups; Torelli group; homology and cohomology of groups; Johnson homomorphism; homological stability A. Putman, The Torelli group and congruence subgroups of the mapping class group, Moduli spaces of Riemann surfaces, IAS/Park City Math. Ser. 20, American Mathematical Society, Providence (2013), 169-196. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Artin braid group; Jacobian varieties; Hurwitz monodromy; moduli space of curves M. Fried, Combinatorial computation of moduli dimension of Nielsen classes of covers, Contemporary Mathematics 89 (1989), 61--79. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) real genus; Klein surface; NEC group; group of automorphisms B. Mockiewicz, Real genus \(12\) , Rocky Mountain J. Math. 34 (2004), 1391-1398. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) lifting; Oort Conjecture; curves over \(p\)-adic fields; inverse Galois theory; elementary \(p\)-groups; automorphism group M. Matignon, \(p\)-groupes abéliens de type \((p,...,p)\) et disques ouverts \(p\)-adiques, Prépublication 83 (1998), Laboratoire de Mathématiques pures de Bordeaux. | 0 |
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