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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) extension of ground fields; elliptic fibration; elliptic surface; function field; conjectures of Birch and Swinnerton-Dyer G. R. Grant and E. Manduchi, Root numbers and algebraic points on elliptic surfaces with base \(\mathbbP^1\) , Duke Math. J. 89 (1997), no. 3, 413-422. | 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 \(F\)-representations; retract rational extensions; stably isomorphic extensions; lifting property; Azumaya algebras; fields of invariants; rational function fields; generic division algebras; central simple algebras D. J. Saltman, J.-P. Tignol, Generic algebras with involution of degree 8m, J. Algebra 258 (2002), no. 2, 535--542. | 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) Azumaya algebras; Brauer groups; Brauer-Manin obstructions; Hasse principle; quartic curves; curves of genus 1; Tate-Shafarevich group DOI: 10.1007/s00605-012-0387-8 | 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 function fields; imaginary quadratic function field; real quadratic function field; divisor class group; reduced ideals; group law [14]S. Paulus and H.-G. Rück, Real and imaginary quadratic representations of hyperelliptic function fields, Math. Comput. 68 (1999), 1233--1241. | 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) trivial Mordell-Weil group; elliptic curve; order of the 3-primary component of the ideal class group of quadratic fields J. Nakagawa and K. Horie: Elliptic curves with no rational points. Proc. A.M.S., 104, 20-24 (1988). JSTOR: | 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 over finite fields with many rational points; asymptotic lower bounds; class field towers; degree-2 covering of curves Elkies, ND; Howe, EW; Kresch, A; Poonen, B; Wetherell, JL; Zieve, ME, \textit{curves of every genus with many points}, II\textit{: asymptotically good families}, Duke Math. J., 122, 399-422, (2004) | 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 of compact Riemann surfaces of a given genus; surfaces with automorphisms; Fuchsian groups; topological and conformal conjugacy of group actions on surfaces; Teichmüller space Weaver, A.: Stratifying the space of moduli. Teichmüller theory and moduli problem, pp. 597-618. In: Ramanujan Mathematical Society Lecture Notes Series, vol. 10. Ramanujan Mathematical Society, Mysore (2010) | 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) Cremona group; birational map; automorphisms of surfaces | 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) stably rational homogeneous space; group scheme; embedding; group of automorphisms A. Schofield, ''Matrix invariants of composite size,'' Preprint (1989). | 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) sum of divisors function; symmetric group; permutation John R. Britnell, A formal identity involving commuting triples of permutations, J. Combin. Theory Ser. A 120 (2013), no. 4, 941 -- 943. | 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) PAC fields; function field; Tate-Shafarevich group; stably birational invariant; flasque resolution | 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) Kummer surface; Brauer group; rational points; torsion of elliptic curves A.N. Skorobogatov, Yu.G. Zarhin, The Brauer group of Kummer surfaces and torsion of elliptic curves, J. Reine Angew. Math. 666, 115-140 (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) algebraic number theory; valuation theory; local class field theory; algebraic number fields; algebraic function fields of one variable; Riemann-Roch theorem E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, New York, 1967. | 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 \(L\)-functions; moments of \(L\)-functions; function fields; finite fields; random matrix 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) algebraic-geometry codes; towers of function fields; \(Q\)th-power map Leonard, D. A.: Finding the missing functions for one-point AG codes. IEEE trans. Inform. theory 47, No. 6, 2566-2573 (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) partially ordered sets; finite representation type; irreducible affine varieties; bipartitioned matrices; group actions; degenerations of orbits; prinjective modules; incidence algebras; Tits quadratic forms Kosakowska, J.: Degenerations in a class of matrix varieties and prinjective modules. J. Algebra 263, 262--277 (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) representations; D-modules; flag manifolds; affine Weyl group; sheaf of twisted differential operators Tanisaki, T.: Twisted differential operators and affine Weyl groups. J. fac. Sci. univ. Tokyo sect. IA math. 34, No. 2, 203-221 (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) towers of algebraic function fields; genus; number of places | 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) bilinear complexity; congruence function fields; descent of function fields; tensor rank; finite fields; Artin--Schreier extensions Ballet, Stéphane; Le Brigand, Dominique; Rolland, Robert, On an application of the definition field descent of a tower of function fields.Arithmetics, geometry, and coding theory (AGCT 2005), Sémin. Congr. 21, 187-203, (2010), Soc. Math. France, Paris | 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 Schubert calculus; Wronski map; rational normal curves; characters of the symmetric 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) rank of elliptic curves; theorem of Lutz-Nagel; \(2\)-descent; families of elliptic curves; arithmetic function; quartic diophantine 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) group of birational automorphisms F. Catanese and M. Schneider, ''Polynomial bounds for abelian groups of automorphisms,'' Compositio Math., vol. 97, iss. 1-2, pp. 1-15, 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) Hilbert modular variety; unit with negative norm; cyclotomic fields; cyclic fields; Hilbert modular group; arithmetical genus; number of elliptic fixed points; class number; totally real fields Keqin, F.: On arithmetic genus of Hilbert modular varieties on cyclic number fields. Sci. China 27, 576-584 (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) valued function fields; good reduction; regular functions; reciprocity lemma; unit; local symbols; local-global principle; solvability of diophantine equations P. Roquette, \textsl Reciprocity in valued function fields, Journal für die reine und angewandte Mathematik 375/376 (1987), 238--258. | 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) transcendental field extensions; Galois group; elliptic 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) tautological ring; moduli of curves; stable quotients; Faber conjecture; generating function | 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) Betti number of an abelian covering of a \(CW\)-complex; cyclotomic coordinates; fundamental group; complement to an algebraic curve; link; Alexander polynomials of plane algebraic curves Libgober A.: On the homology of finite abelian coverings. Topol. Appl. 43(2), 157--166 (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) self-intersection of dualizing sheaves; elliptic curves; Arakelov theory; Arakelov-Green function; Frey curves; genus; Néron-Tate height; Jacobian Szpiro, L. 1990.Sur les propriétés numériques du dualisant relatif d'une surface arithmétique, The Grothendieck Festschrift Vol. III, 229--246. Boston: Birkhäuser. | 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) patching; local-global principle; two-dimensional complete domain; function field of a curve; quadratic form; Witt ring; \(u\)-invariant; Brauer group; period-index problem Harbater, D.; Hartmann, J.; Krashen, D., \textit{refinements to patching and applications to field invariants}, Int. Math. Res. Not. IMRN, 2015, 10399-10450, (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) Coxeter group of reflections; discrete group; automorphism groups of complex spaces; signature; Galois covering; projective space; affine space; complex ball V. P. Kostov, ''Versal deformations of differential forms of degree {\(\alpha\)} on the line,'' Funkts. Anal. Prilozhen.,18, No. 4, 81--82 (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) finite-dimensional associative algebras; affine group schemes; automorphism groups; inner 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) finite Tate-Shafarevich group; elliptic curves; evidence for the truth of the Birch and Swinnerton-Dyer conjecture; ideal class annihilators Rubin, K.: Tate-Shafarevich groups and
\[
L
\]
-functions of elliptic curves with complex multiplication. Invent. Math. 89, 527--560 (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) Weil-Deligne group; local Euler factors; L-function of motif; non-archimedean places; Tannakian category; admissible objects; Deligne motives; Dirichlet series; Riemann zeta function Deninger, C., Local \textit{L}-factors of motives and regularized determinants, Invent. Math., 107, 135-150, (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) roots of the \(L\)-functions; algebraic curves over finite fields Emmanuel Kowalski, The principle of the large sieve, available at arXiv:math.NT/0610021. | 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 in projective spaces; lines; Hilbert function; union of lines | 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) perverse coherent sheaves; special pieces in unipotent varieties; Macaulayfication; schemes of finite type; affine group schemes; intersection cohomology functors Achar, P; Sage, D, Perverse coherent sheaves and the geometry of special pieces in the unipotent variety, Adv. Math., 220, 1265-1296, (2009) | 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 theory of algebraic function fields; towers of function fields; Zink's bound; Hasse-Witt invariant; \(p\)-rank [2]A. Bassa and P. Beelen, The Hasse--Witt invariant in some towers of function fields over finite fields, Bull. Brazil. Math. Soc. 41 (2010), 567--582. | 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) simple affine contractions; classification of birational endomorphisms; missing curves Daigle D., J. Math. Kyoto Univ. 31 pp 329-- (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) fields of moduli of curves; field of definition Dèbes, P.; Emsalem, M., On fields of moduli of curves, J. Algebra, 211, 42-56, (1999) | 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) isotropy; local-global principle; real field; sums of squares; \(u\)-invariant; pythagoras number; valuation; algebraic function fields Becher, Karim; Grimm, David; Van Geel, Jan: Sums of squares in algebraic function fields over a complete discretely valued field, Pacific J. Math. 267, No. 2, 257-276 (2014) | 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) family of curves; large monodromy; finite ground field; numerator of the zeta function; Katz's conjecture Chavdarov, N., \textit{the generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy}, Duke Math. J., 87, 151-180, (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) Witt ring; fundamental ideal; bilinear forms; curves over local fields; Brauer 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) number of rational points; curves defined over finite fields; Frobenius map; degrees; dual curves Hefez, Abramo; Voloch, José Felipe: Frobenius nonclassical curves. Arch. math. (Basel) 54, No. 3, 263-273 (1990) | 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) \(L\)-functions; function fields for hyperelliptic 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) affine space; affine Cremona group; affine group; closed subgroups; transitive group action; linear automorphisms Bodnarchuk, Y, Some extreme properties of the affine group as an automorphisms group of the affine space, Contribution to General Algebra, 13, 15-29, (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) moduli spaces of curves; algebraic curves over global fields; discriminantal varieties; cohomology rings; Hodge structures Bergstrom, J.; Tommasi, O., The rational cohomology of M\_{}\{4\}, Math. Ann., 338, 207, (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) Siegel modular group; Siegel modular function field; seven generators of \(K_ 3\) | 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) construction of high-rank elliptic curves; Mordell-Weil group K. Nagao, Construction of high-rank elliptic curves, Kobe J. Math,11 (1994), 211--219. | 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) Jacobian; determinantal variety; curve without automorphisms; automorphism group of the moduli space Kouvidakis, A., and Pantev, T., \textit{The automorphism group of the moduli space of semistable}\textit{vector bundles}, Math. Ann. 302 (1995), no. 2, 225--268. | 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 curves; mapping class group; level structures; Picard group; Torelli group; group cohomology Ivanov, N. V.: Subgroups of Teichmüller modular groups. Translations of Mathematical Monographs \textbf{115}. AMS (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) height function; elliptic curves over function fields; specialization map | 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 surfaces; algebraic action of the additive group of complex numbers; equivariant compactifications; singular homology Fieseler, K-H, On complex affine surfaces with \({\mathbb{C}}^+\)-action, Comment. Math. Helv., 69, 5-27, (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) Galois groups of function fields; unramified cohomology; universal spaces; anabelian geometry | 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) generalized Brauer-Severi variety; projective variety; right ideals; central simple algebra; Grassmann variety; function fields; generic partial splitting fields; Brauer group; index Blanchet, A.: Function fields of generalized Brauer-Severi varieties. Comm. in Algebra19 (1991), 97--118 | 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 semisimple group; quantized enveloping algebra at a root of unity; cohomology; tilting module; principal block; support; two-sided cell; affine Weyl group; nilpotent cone; Springer resolution; equivariant coherent sheaf; orbit; equivariant vector bundle Bezrukavnikov, Roman, Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves, Invent. Math., 166, 2, 327-357, (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) survey articles (algebraic geometry); stacks; Artin stacks; moduli of vector bundles; curves over arithmetic ground fields; cohomology of algebraic stacks; Weil conjectures F. Neumann, Algebraic stacks and moduli of vector bundles, Publicações Matemáticas do IMPA , Colóquio Brasileiro de Matemática, 27, 2009. | 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 group of a curve; Abhyankar conjecture; affine line; positive characteristic; Artin-Schreier covers Gille P. , Le groupe fondamental sauvage d'une courbe affine , in: Bost J.-B. , Loeser F. , Raynaud M. (Eds.), Courbe semi-stable et groupe fondamental en géométrie algébrique , Progress in Math. , 187 , Birkhäuser , 2000 , pp. 217 - 230 . MR 1768103 | Zbl 0978.14034 | 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; quadratic forms; \(u\)-invariant; complete discretely valued fields; function fields Parimala, R.; Suresh, V., On the \(u\)-invariant of function fields of curves over complete discretely valued fields, Adv. Math., 280, 729-742, (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) singularity; germ of analytic space; approximate solution; Artin function; affine function | 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) Fermat curve of exponent five; Jacobian; group of automorphisms; canonical isomorphism Lim, C. H.: The geometry of the Jacobian of the Fermat curve of exponent five. J. number theory 41, 102-115 (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) \(L\)-function; Shimura variety; Hilbert-Blumenthal surface; Tate's conjectures for abelian fields; group of algebraic cycles; intersection cohomology; canonical intermediate-perversity extension; Hirzebruch- Zagier cycles; Tate class Gordon, B. B.: Algebraic cycles in families of abelian varieties over Hilbert -- blumenthal surfaces. J. reine angew. Math. 449, 149-171 (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) Giulietti-Korchmáros function field; Hasse-Weil bound; maximal function fields; quotient curves; Galois subfields; genus spectrum Anbar, N.; Bassa, A.; Beelen, P., A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field \textit{Finite Fields Appl.}, 48, 318-330, (2017) | 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 maps; \(p\)-adics; group endomorphisms; finite fields; completions of fields Alexander Borisov and Mark Sapir, Polynomial maps over \(p\)-adics and redisual properties of mapping tori of group endomorphisms, Int. Math. Res. Not. IMRN 16 (2009), 3002-3015. | 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 space; linear variety; barycenter; simple ratio; theorem of Thales; theorem of Menelaus; theorem of Ceva; affinity; semi-affinity; affine group; similar affinities; invariance level; Jordan matrix; similar Euclidean motions; glide vector; glide modulus; index of a real symmetric matrix; helicoidal Euclidean motion; anti-rotation; glide reflection Reventós-Tarrida, A.: Affine maps, Euclidean motions and quadrics, Springer undergrad. Math. ser. (2011) | 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) Noether's problem; meta-abelian group; rational extension of fields; regular action; invariant field; Galois embedding problem I. Michailov, Noether's problem for some groups of order 16n, Acta Arith. 143 (2010), 277\ 290. | 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; irreducible algebraic varieties; rationality problem for group varieties; semisimple algebraic groups; almost simple algebraic groups; number fields; global function fields; Tits indices Chernousov, V. I.; Platonov, V. P.: The rationality problem for semisimple group varieties. J. reine angew. Math. 504, 1-28 (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) global function fields; curves with many rational points; low-discrepancy sequences; Gilbert-Varshamov bound Niederreiter, H., Xing, Ch.: Global function fields with many rational places and their applications. In: Mullin, R.C., Mullen, G.L. (eds.) Finite Fields: Theory, Applications, and Algorithms, Waterloo, ON, 1997. Contemp. Math., vol. 225, pp. 87--111. Amer. Math. Soc., Providence (1999) | 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) LS-galleries model; complex group; simply-connected group; semi-simple group; algebraic group; MV-polytopes; retractions of affine building M. Ehrig, Construction of MV-polytopes via LS-galleries, Dissertation, University of Cologne, 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) towers of algebraic function fields; genus; number of places | 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) Selmer group of twists of elliptic curves; \({\mathbb{Q}}\)-rational torsion; point; p-class 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) curve over a global field; \(K_1\); local class field theory of curves; Galois cohomology; surfaces over finite fields Wayne Raskind, On \?\(_{1}\) of curves over global fields, Math. Ann. 288 (1990), no. 2, 179 -- 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) abelian variety; finite fields; group 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) fibration method; elliptic curves; computation of \(L\)-functions of hyperelliptic curves over the rational function field | 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) Witt ring; Nash function; components of an affine real algebraic variety; signatures Mahé, L.: Séparation des composantes réelles par les signatures d'espaces quadratiques. C. R. Acad. Sci.292, 769-771 (1981) | 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) Diophantine theory of genus 1 curves; local-global principle; rational points; heights; finite basis theorem; Tate-Shafarevich group; arithmetic of elliptic curves J.W.S. Cassels, \textit{Lectures on elliptic curves}, \textit{Lond. Math. Soc. Stud. Texts}\textbf{24}, Cambridge University Press, Cambridge, U.K., (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) Quotients of products of curves; Beauville surface; Beauville structure; simple group; quasi-simple group Y. Fuertes and G.\ A. Jones, Beauville surfaces and finite groups, J. Algebra 340 (2011), 13-27. | 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 curves; finite fields; rational points; zeta function Aubry, Yves; Iezzi, Annamaria, On the maximum number of rational points on singular curves over finite fields, Mosc. Math. J., 1609-3321, 15, 4, 615-627, (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) automorphisms of polynomial algebras; affine automorphisms; tame automorphisms; closed automorphism groups Éric Edo, ``Closed subgroups of the polynomial automorphism group containing the affine subgroup'', to appear in \(Transform. Groups\) | 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 affine curve; ring of differential operators; ad-nilpotent elements; ring of regular functions; injective birational map; invariants of simple rings; non-isomorphic curves with isomorphic rings of differential operators; codimension DOI: 10.1112/jlms/s2-45.1.17 | 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 map; rank of Mordell-Weil group; rational points; family of elliptic curves; cyclic cubic point | 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; Jacobian; Picard group; finite fields; polynomial factorization | 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 algebras; reduced norms; function field of \(p\)-adic curves; Galois cohomology | 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) Arakelovian boundary divisor; moduli stack; 1-pointed stable curves of genus 1; arithmetic intersection number; special values of zeta function | 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 geometric codes; towers of 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) fast algorithm; counting points on elliptic curves; finite fields of small 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) Mumford curves; trees; harmonic measures on trees; non-Archimedean analysis; Schottky group; canonical embeddings of curves; holomorphic forms Gunther Cornelissen and Janne Kool.Rigidity and reconstruction for graphs. Preprint arXiv:1601.08130(2016), 9 pp. | 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 field of one variable over a finite field; group of divisor classes; upper bound; zeta-function | 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 arrangement of hyperplanes; derivation; differential forms; logarithmic differential forms; Möbius function; Eilenberg MacLane space; arrangement of hyperplanes P. Orlik, H. Terao, \textit{Arrangements of hyperplanes}. Springer 1992. MR1217488 Zbl 0757.55001 | 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) characterization of group of polynomial 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) Artin-Schreier curves; finite fields; distribution of number of points; distribution of zeroes of \(L\)-functions 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) quadratic form; function field of a quadric; stably birational equivalence; motivic equivalence; similarity; half-neighbor; Chow group; correspondence N. Karpenko, Izhboldin's results on stably birational equivalence of quadrics, Lecture Notes in Mathematics 1835 (2004), 151--183. | 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 number theory; algebraic function fields; local class field theory; ramification theory; differentials; arithmetic curves Artin, E.: Algebraic Numbers and Algebraic Functions. AMS Chelsea Publishing, Providence, RI (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) direct sum cancellation; quadratic order; Noetherian ring; torsionfree cancellation; regular integral domain; coordinate ring of a singular affine curve; quadratic orders; integral group rings DOI: 10.1016/0021-8693(84)90077-2 | 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 Cremona group; rational fixed points; finite group actions; fertile 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) group of rational points; elliptic curve; complex multiplication; p-adic L-function Tilouine, J. : Fonctions L p-adiques à deux variables et Z2p-extensions . Bull. Soc. Math. France 114 (1986), 3-66. | 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 surfaces; Birch and Swinnerton-Dyer conjecture; elliptic curve over a function field; finite field; Drinfeld-Heegner point; Néron models; Euler systems; Drinfeld modular curves; Tate-Shafarevich group M. L. Brown, On a conjecture of Tate for elliptic surfaces over finite fields, Proc. London Math. Soc. (3) 69 (1994), no. 3, 489 -- 514. | 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) Jacobi sum; special values of L-function; Hecke character; Abelian number field; periods of elliptic 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) Schwartz-Bruhat space; zeta distributions on prehomogeneous vector spaces; p-adic fields; adele ring; invariant distributions on manifolds with group action; complex powers of polynomials over local fields; zeta- functions associated to prehomogeneous vector spaces | 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) Witt group; function field; residue homomorphism; kernel; cokernel; hyperelliptic curves Parimala, R., Sujatha, R.: Witt groups of hyperelliptic curves. Comment. Math. Helvetici65, 559--580 (1990) | 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; circle method; function fields; hypersurfaces | 0 |
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