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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) algebraic geometry; Riemann hypothesis; function fields; Severi's algebraic theory of correspondences on algebraic curves André Weil [3] On the Riemann hypothesis in function-fields , Proceedings of the National Academy of Sciences, vol. 27 (1941), pp. 345-347. Duke University. | 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 of genus two; Jacobians; local fields; number fields; canonical height; height constant; Mordell-Weil group Stoll M., On the height constant for curves of genus two. II, Acta Arith. 104 (2002), 165-182. | 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 curves; Nottingham group; cohomology of groups; Harbater-Katz-Gabber curves; algebraic covers | 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 \(p\); formal schemes; Galois cover of algebraic curve; Abhyankar's conjecture; fundamental group of affine curves David Harbater, ``Abhyankar's conjecture on Galois groups over curves'', Invent. Math.117 (1994) no. 1, p. 1-25 | 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) \(\dagger\)-adic algebras; \(p\)-adic de Rham cohomology; \(p\)-adic de Rham complex; factorization of the zeta function; functoriality; group of automorphisms; transfer module; special module; \(p\)-adic differential operators; cohomological operations; flat liftings; \(\dagger\)-adic schemes; infinitesimal site; Gysin sequence; infinitesimal topos Arabia, A.; Mebkhout, Z., Sur le topos infinitésimal \textit{p}-adique d\(###\)un schéma lisse I, Ann. Inst. Fourier, 60, 6, 1905-2094, (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) affine space; polynomials over commutative rings; group of polynomial automorphisms; group of tame automorphisms Berson, Joost: The tame automorphism group in two variables over basic Artinian rings, J. algebra 324, 530-540 (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) arithmetic of elliptic curves; determining the group of rational points; Mordell-Weil theorem; Birch and Swinnerton-Dyer conjecture; Hasse-Weil L-series; effective determination of all imaginary quadratic fields with given class number; Iwasawa theory; main conjecture for elliptic curves; descent method Coates, J.: Elliptic curves and Iwasawa theory. In: Modular forms. Rankin, R.A. (ed.), pp. 51-73. Chichester: Ellis Horwood Ltd (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) elliptic curves; complex multiplication; abelian varieties; zeta function; modular functions; theta functions; periods of integrals; class fields; field of moduli of a polarized abelian variety; Hecke \(L\)-functions; periods of abelian integrals; period symbol; differential forms; polarizations Shimura, G., \textit{abelian varieties with complex multiplication and modular functions}, (1998), Princeton University Press, Princeton, NJ | 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; class group; continued fractions; generalization of Hirzebruch's theorem; class number González, CD, Class numbers of quadratic function fields and continued fractions, J. Number Theory, 40, 38-59, (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) automorphisms group of Macbeath curve; algebraic curves associated with subgroups of finite index in the; modular group; non-congruence subgroups; covering of the projective line; Hurwitz group; algebraic curves associated with subgroups of finite index in the modular group Klaus Wohlfahrt, Macbeath's Curve and the Modular Group, Glasg. Math. J.27 (1985), p. 239-247 - ISSN : 2118-8572 (online) 1246-7405 (print) - Société Arithmétique de Bordeaux | 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) error-correcting code; \(C_{ab}\) curves; towers of algebraic function fields; genus Shor, Caleb McKinley, Genus calculations for towers of functions fields arising from equations of \(C_{ab}\) curves, Albanian J. Math., 5, 1, 31-40, (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) characterization of the complex affine plane; simply connected algebraic curves; Ramanujam surfaces; hyperbolic complex analysis; regular actions of the group \({\mathbb{C}}^*\) Zaidenberg M G, Isotrivial families of curves on affine surfaces and characterizations of the affine plane,Math. USSR. Izvestiya,30 (1988) 503--532 | 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) spacing distributions of zeros; zeros of the Riemann zeta-function; zeta functions of curves over finite fields; Montgomery-Odlyzko law; Ramanujan \(L\)-function; pair correlation; random matrix models; symplectic symmetry Katz, N.M., Sarnak, P.: Zeroes of zeta functions and symmetry. Bull. Am. Math. Soc. (N.S.) \textbf{36}(1), 1-26 (1999b) | 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; Mordell-Weil lattices; \(L\)-function of an elliptic curve over a function field T. Shioda, Some remarks on elliptic curves over function fields , Astérisque 209 (1992), 12, 99-114. | 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 curve over a finite field; group of automorphisms; rational group ring; zeta-functions of the quotient curves DOI: 10.4153/CMB-1990-046-x | 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; character sums; Weil conjectures; Riemann-Roch theorem; points on curves over finite fields; zeta-functions; \(L\)-functions; idele class characters; modular forms; automorphic representations; Ramanujan graphs; Alon-Boppana theorem; regular graphs; Riemann hypothesis for zeta functions of curves over finite fields; exponential sums; Cayley graphs; finite upper half plane graphs; valuations of function fields; projective curve; Hecke operators; automorphic representations of quaternion groups; expander; simple random walk; spectral theory of graphs Li, W. -C. Winnie: Number theory with applications. Series of university mathematics 7 (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) dilogarithm; \(K\)-theory of fields; hyperbolic geometry; Dedekind function; polylogarithms; motivic complexes; Zagier's conjecture; curves; regulators; special values of \(L\)-functions; motivic Lie algebra; framed mixed Tate motives; hyperlogarithms A. Goncharov, \textit{Polylogarithms in arithmetic and geometry}, \textit{Proc. ICM}\textbf{1-2} (1995) 374. | 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 biregular automorphisms; complex K3 surfaces; nodal curves on a K3-like surface; anticanonical basic surface B. Harbourne, ``Automorphisms of K\(3\)-like rational surfaces'' in Algebraic Geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) , Proc. Symp. Pure Math. 46 , Part 2, Amer. Math. Soc., Providence, 1987, 17-28. | 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 of function fields; field of invariants; action of finite group; non ramified Brauer group; rationality problems; Noether problem D. J. Saltman, ''Multiplicative field invariants,''J. Algebra,106, 221--238 (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) point-line arrangements; orchard problem; elliptic curves; group law; application of finite 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) singular curves over finite fields; rationality of the zeta function; functional equation of the zeta function; singular Riemann-Roch theorem Galindo, W. Zúñiga: Zeta functions of singular algebraic curves over finite fields. (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) hyperelliptic curves; automorphisms; marked points; moduli space; Euler characteristic; symmetric group; generating function Gorsky, E.: On the sn-equivariant Euler characteristic of moduli spaces of hyperelliptic curves, Math. res. Lett. 16, No. 4, 591-603 (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) recursive towers of function fields over finite fields; elliptic modular 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) second generalized Giulietti-Korchmáros function fields; maximal function fields; genus spectrum of maximal 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) linear groups; real curves; projective curves; function fields; strong Hasse principle; homogeneous spaces; existence of \(K\)-rational points; weak approximation; density of local points; diagonal image; central isogeny; principal homogeneous spaces; projective algebraic varieties; reciprocity law; obstruction to the Hasse principle; obstruction to weak approximation; Galois cohomology Jean-Louis Colliot-Thélène, Groupes linéaires sur les corps de fonctions de courbes réelles, J. Reine Angew. Math. 474 (1996), 139 -- 167 (French). | 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; algebraic function fields; automorphism groups of curves in positive characteristic; Stöhr-Voloch theory; curves with many points over finite fields Hirschfeld, J. W.P.; Korchmáros, G.; Torres, F., Algebraic Curves over a Finite Field, Princeton Series in Applied Mathematics, (2008), Princeton University Press: Princeton University Press Princeton, NJ, MR 2386879 | 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 group; inverse Galois theory; Mathieu groups; finite simple groups; embedding problems; rigidity method; Hilbertian fields; function fields; absolute Galois group; generating polynomials of Galois 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) constructive Galois theory; fundamental group; field of definition; ramification structures; topological automorphisms; algebraic; function field; \(PSL_ 2({\mathbb{F}}_ p)\) Matzat, B.H.: Topologische Automorphismen in der konstruktiven Galoistheorie. Erscheint demnächst | 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 theory of algebraic numbers; hypermaps; Riemann surface; Belyi function; dessins d'enfants; Galois group; congruence subgroups; modular group; elliptic curves Jones, G. A.; Singerman, D., Belyǐ functions, hypermaps and Galois groups, Bull. Lond. Math. Soc., 28, 561-590, (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) global function fields; rational places; curves over finite fields; asymptotic measure of \(\mathbb{F}_q\)-rational points; class field towers; codes; Gilbert-Varshamov bound Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (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) geometric Goppa codes; generalized algebraic geometry codes; code automorphisms; automorphism groups of function fields; algebraic 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) loop groups; affine Lie algebras; moduli of \(G\) bundles on curves; embeddings of reductive groups; representation theory; spherical varieties; wonderful compactification; torus group; Harish-Chandra transform; character sheaves; ind-scheme; compactification; flag varieties; divisors in ind-schemes Solis, P., A wonderful embedding of the loop 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) Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields Saltman, D. J., Division algebras over \(p\)-adic curves, J. Ramanujan Math. Soc., 12, 25-47, (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) sums of squares; real affine algebraic curves; real hyperelliptic curves; Picard group J. Huisman, L. Mahé, Geometrical aspects of the level of curves, J. Alg., Preprint, 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) period map; Schottky groups parametrized by a rigid analytic space; family of Mumford curves; p-adic Siegel half space; de Rham cohomology group; infinite automorphic product; Gauss-Manin connection; Tate curve; principal theta function L. Gerritzen,Periods and Gauss-Manin connection for families of p-adic Schottky groups, Math. Ann.275 (1986), 425--453. | 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 over function fields; arithmetic of algebraic curves; Mordell Weil theorem; Mordell 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) function field of one variable; fundamental group of the affine curve; absolute Galois 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) Brauer groups; curves over local fields; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Correction to: ``Division algebras over \(p\)-adic curves'' [J. Ramanujan Math. Soc. 12 (1997), no. 1, 25-47; MR1462850 (98d:16032)],'' J. Ramanujan Math. Soc., vol. 13, iss. 2, pp. 125-129, 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) abelian fields of small degree; coverings of modular curves; unit group; one-parameter families of elliptic curves O. Lecacheux, Units in number fields and elliptic curves, in: Advances in Number Theory (Kingston, ON, 1991), Oxford Univ. Press, New York, 1993, 293--301. | 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) homology of algebraic curves; automorphisms; mapping class group; absolute Galois group; combinatorial group 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) Galois covers; lifting of automorphisms of curves; \(p\)-adic discs; curves over local fields; characteristic \(p\); Witt vectors; Kummer-Artin-Schreier-Witt theory B. Green and M. Matignon, ''Liftings of Galois covers of smooth curves,'' Compositio Math., vol. 113, iss. 3, pp. 237-272, 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 over function fields; explicit computation of \(L\)-functions; BSD conjecture; unbounded ranks; explicit Jacobi sums | 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 finite group of polynomial automorphisms; algebraic compactification Furushima, M.: Finite groups of polynomial automorphisms in ? n . Tohoku Math. J.35, 415-424 (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) elliptic curves; cryptosystems; discrete logarithm; group of rational points; elliptic curve over a finite field; practical implementations; algorithms; running times R. Harasawa, J. Shikata, J. Suzuki, H. Imai, Comparing the MOV and FR reductions in elliptic curve cryptography, in: Advances in Cryptology--Eurocrypt '99, Lecture Notes in Computer Science, Vol. 1592, Springer, Berlin, 1999, pp. 190--205. | 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) forms over number fields; Hasse principle; affine variety; Hardy-Littlewood circle method; asymptotic formula; number of solutions; weak approximation C.\ M. Skinner, Forms over number fields and weak approximation, Compos. Math. 106 (1997), 11-29. | 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 positive characteristic; arithmetic fundamental group; Galois representation; automorphic representation G. Böckle and C. Khare, Finiteness results for mod \(l\) Galois representations 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) inverse Galois problem; canonical form; linear automorphisms; monomial automorphisms; fields of rational functions; survey Hajja, M.: Linear and monomial automorphisms of fields of rational functions: some elementary issues, Algebra and number theory (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) \(p\)-adic \(L\)-functions; elliptic curves; rational points; cyclotomic characters; interpolation; projective limit of the group of global units; \(p\)-adic height Perrin-Riou, Bernadette, Fonctions \(L\) \(p\)-adiques d'une courbe elliptique et points rationnels, Ann. Inst. Fourier (Grenoble), 0373-0956, 43, 4, 945-995, (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) Brauer group of rational function field over complex 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) hyperbolic curve; group of biholomorphic automorphisms; fundamental group Shabat, GB, Local reconstruction of complex algebraic surfaces from universal coverings, Funktsional. Anal. i Prilozhen., 17, 90-91, (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) diagonal equations; cyclotomic classes; cyclotomic numbers; number of points on finite diagonal curves; finite 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) abelian Galois extensions; relative Brauer groups; cyclic extensions; indecomposable division algebras of prime exponent; central simple algebras; Brauer class; rational 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) Brauer groups of fields of invariants; Galois cohomology; Artin-Mumford group of the field of rational functions Bogomolov F.A., Brauer groups of fields of invariants of algebraic groups, Math. USSR-Sb., 1990, 66(1), 285--299 | 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) abstract elliptic function fields; automorphisms; meromorphisms; addition theorem Hasse, H.: Zur theorie der abstrakte elliptischen funktionenkörper. II. automorphismen und meromorphismen. Das additionstheorem. J. reine angrew. Math. 175, 69-88 (1936) | 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 groups; finite simple groups; applications of simple groups; Brauer groups; Riemann surfaces; polynomials; function fields Guralnick, Robert, Applications of the classification of finite simple groups.Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. II, 163-177, (2014), Kyung Moon Sa, Seoul | 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 algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes | 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) generalization of class field theory; local fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor; global 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) fundamental group; ovals; K3 surfaces; monodromy groups of smooth real plane curves of degree 6 I. Itenberg, Groups of monodromy of non-singular curves of degree 6, Real Analytic and Algebraic Geometry, Proceedings, Trento (Italy) 1992, Walter de Gruyter, (1995), 161--168. | 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 \(p\)-covers; torsionless fundamental group; group acting on scheme; \(p\)-ranks of smooth projective curves; characteristic \(p\); Euler-Poincaré characteristic; singular Enriques surface Crew, Richard M., Etale \(p\)-covers in characteristic \(p\), Compositio Math., 52, 1, 31-45, (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) birational automorphisms; Cremona group; automorphisms of Cremona group Julie Déserti, On the Cremona group: some algebraic and dynamical properties, Theses, Université Rennes 1 (France), , 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) curves over finite fields; zeta-functions of curves; Abelian varieties over finite fields Katz, N.: Spacefilling curves over finite fields. Mrl 6, 613-624 (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) difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism Z. Chatzidakis, ''Groups definable in ACFA,'' in Algebraic Model Theory, Dordrecht: Kluwer Acad. Publ., 1997, vol. 496, pp. 25-52. | 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; classifying spaces; thom spectra. I. Madsen and M. Weiss, The stable moduli space of Riemann surfaces: Mumford's conjecture, Ann. of Math. (2) 165 (2007), no. 3, 843-941. | 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 non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 | 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) Hasse-Weil bound; trace code; Hamming weight; algebraic curves over finite fields of characteristic 2; number of points van der Geer, Gerard; van der Vlugt, Marcel, Curves over finite fields of characteristic 2 with many rational points, C. R. acad. sci. Paris Sér. I math., 317, 6, 593-597, (1993), MR 1240806 | 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) birational anabelian; algebraically closed fields; absolute Galois group; function fields; Galois-type correspondence | 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 group schemes; non-reduced group schemes; minimal splitting fields; Galois groups; coordinate rings; groups of rational characters; maximal tori; connected unipotent groups; products of reductions | 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 lattice structure of the Mordell-Weil group; height pairing; L-function; Hasse zeta function; computer calculations Shioda, T.: The Galois Representations of TypeE 8 Arising from Certain Mordell-Weil Groups, Proc. Japan Acad.65A, 195--197 (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) coverings of curves; monodromy groups; permutation groups; automorphisms of curves; genera; finite simple groups; Guralnick-Thompson conjecture Guralnick, R.: Monodromy groups of coverings of curves. In: Galois Groups and Fundamental Groups. Math. Sci. Res. Inst. Publ., vol. 41, pp. 1--46. Cambridge Univ. Press, Cambridge (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) classification of Brauer groups; rational function fields over global fields; Ulm invariants B. Fein, M.M. Schacher and J. Sonn, Brauer groups of rational function fields, Bull. Amer. Math. Soc. 1, 766-768. | 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) monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) | 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 fundamental group; hyperbolic affine curves; 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) integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009 | 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; automorphisms of curves; infinite Grassmannians; moduli spaces; Krichever correspondence; formal schemes E. Gómez González, J. M. Muñoz Porras, and F. J. Plaza Martín, Prym varieties, curves with automorphisms and the Sato Grassmannian, Math. Ann. 327 (2003), no. 4, 609 -- 639. | 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 groups of elliptic curves; torsion; group of rational points; non-dyadic elliptic curve | 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) central group extensions; Euler class; moduli spaces of genus zero stable curves; Neretin's group of spheromorphisms; operads; quasi-braid groups; stabilization; Stasheff associahedron; Thompson's group C. Kapoudjian, From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle, math.GR/0006055. | 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; algebraic curves over finite fields; quadratic forms over finite fields Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (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) Tate constant; hypergeometric differential equation; Legendre family of elliptic curves; Tate curve; Picard-Fuchs equation; Hasse-Witt matrix; formal 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) fields of invariants; unramified Brauer group Богомолов, Ф. А., Группа брауэра факторпространств линейных представлений, Изв. АН СССР. Сер. матем., 51, 3, 485-516, (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) affine varieties; plane curves; projective varieties; morphisms; resolution of singularities; Riemann-Roch theorem Fulton, William, Algebraic curves. {A}n introduction to algebraic geometry, (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) affine class group; affineness of complement of hypersurface; hypersurface; factorial domain | 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 moduli spaces of curves; curves over finite fields; hyperelliptic curves J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. | 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) normal function; Hermitian symmetric domain; Mumford-Tate group; variation of Hodge structure; algebraic cycle | 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) zeta-function; number-field; finiteness of Brauer group; function-field analogue of the conjecture of Birch and Swinnerton-Dyer Lichtenbaum, S.: Behavior of the zeta-function of open surfaces at s=1. Adv. stud. Pure math. 17, 271-287 (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) semi-abelian varieties; Néron models; group of components; tame ramification; Weil restrictions; Tate curves; Jacobian varieties; swan conductor | 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; \(p_g=0\); homology groups; products of curves; actions of finite abelian group; isotrivial fibrations; surfaces isogenous to a product; fake quadrics; branched coverings; fundamental 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) polynomial function; connected affine algebraic group; character | 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) Beurling spectrum of a function; locally compact Abelian group; parabolic equation; continuous unitary character; Banach space; Fourier transform; Banach module; directed set; Stepanov set Žikov, V.V., Tjurin, V.M.: The invertibility of the operator \(d/dt+A(t)\) in the space of bounded functions. Mat. Zametki, \textbf{19}, 99-104 (1976). English translation: Math. Notes \textbf{19}(1-2), 58-61 (1976) | 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; Galois coverings of moduli spaces; smooth compactifications of Galois coverings; Teichmüller theory; congruence subgroup problem for the Teichmüller group Boggi, Marco, Galois coverings of moduli spaces of curves and loci of curves with symmetry, Geom. Dedicata, 168, 113-142, (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) Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods | 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) Abhyankar's conjecture; covering of affine line; Sylow \(p\)-group; Galois group of covering | 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; hypersurface; counting function; multiple exponential sum; singular locus; Deligne's bounds for exponential sums; number of points; hypersurfaces over finite fields Heath-Brown, DR, The density of rational points on nonsingular hypersurfaces, Proc. Indian Acad. Sci. Math. Sci., 104, 13-29, (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) uniformization; Riemann surface of genus two; involution; Riemann matrix; group automorphisms G. Riera and R. Rodriguez,Uniformization of surface of genus two with automorphisms, Math. Ann.282 (1988), 51--67. | 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-level duality; vertex algebras; conformal blocks; Picard group of the moduli stack of stable curves; psi classes; conformal embedding S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . | 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) torsion groups of elliptic curves with integral j-invariant; pure cubic number fields Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (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) moduli of curves; automorphisms of curves and Jacobians | 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; moduli spaces of marked curves; twisted forms; Galois cohomology; 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) mixed Hodge structure; second cohomology group; Hessian family 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) arithmetic fundamental group; moduli space of curves; Galois group over Q | 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) action of a group on a surface; Belyĭ function; dessin; hypermap; map; map covering; orbifold Breda d'Azevedo, A; Catalano, DA; Karabáš, J; Nedela, R, Maps of Archimedean class and operations on dessins, Discret. Math., 338, 1814-1825, (2015) | 0 |
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