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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) Models of curves; tame cyclic quotient singularities,; group actions on cohomology; Néron models Halle, L. H.: Galois actions on Néron models of Jacobians, Ann. inst. Fourier 60, No. 3, 853-903 (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) elliptic curves; Iwasawa theory; \(p\)-adic heights; \(p\)-adic \(L\)-function; height pairing of abelian varieties; Iwasawa function; rational point of infinite order; Tate duality Karl Rubin, Abelian varieties, \?-adic heights and derivatives, Algebra and number theory (Essen, 1992) de Gruyter, Berlin, 1994, pp. 247 -- 266. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 of curve; stable reduction of curve; topological function field; complete non-Archimedean valued fields; topological genus | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) modular curves; unramified extensions of number fields; Bernoulli numbers; ideal class groups; Eisenstein prime S. Kamienny, Modular curves and unramified extensions of number fields , Compositio Math. 47 (1982), no. 2, 223-235. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) formally real function field; real holomorphy ring; finitely generated ideal; group of invertible fractional ideals Kucharz, W.: Invertible ideals in real holomorphy rings. J. reine angew. Math. 395, 171-185 (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) Shimura variety; zeta function; unitary group; affine flag variety; local model; perverse sheaf | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 varieties with complex multiplication; periods of first and second kind; Jacobian of the Fermat curves; linear independence of values of the Beta-function; covering radius Wolfart, J., Der überlagerungsradius gewisser algebraischer kurven und die werte der betafunktion an rationalen stellen, Math. Ann., 273, 1-15, (1985) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Vandiver conjecture; p-adic abelian L-functions; research survey; explicit reciprocity laws; cyclotomic fields; Jacobi sums; Iwasawa invariant; Iwasawa theory; Bernoulli numbers; Gauss sums; Stickelberger ideals; distribution; Bernoulli measure; analytic class number formula; p-adic analytic class number formula of Leopoldt; p-adic class group; Spiegelungssatz; Lubin-Tate formal groups; projective limit of local unit groups; cyclotomic units S.~Lang, \emph{Cyclotomic fields}, Springer-Verlag, New York-Heidelberg, 1978, Graduate Texts in Mathematics, Vol. 59. zbl 0395.12005; MR0485768 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 points of elliptic curves; diagonalizable group scheme M. Yasuda, M. Torsion points of elliptic curves with good reduction, Kodai Math. J. 31 (2008), no. 3, 385--403. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Hopf algebra; coordinate ring; affine algebraic group; hyperalgebra; augmentation ideal; links; cliques; algebra of distributions; locally finite injective hull; pointed clique; filter of ideals; graded algebra DOI: 10.1080/00927879408825095 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Mordell conjecture for function fields; theorem of the kernel doi:10.2307/2374831 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; generators; group of rational points; Mordell-Weil lattice invariant H. E. Rose, On a class of elliptic curves with rank at most two, Math. Comp. 64 (1995), no. 211, 1251 -- 1265, S27 -- S34. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 module; arithmetic fundamental group; Galois representation; Fontaine-Mazur conjecture; cyclic covering; rational point; Galois group of function field; large quotient; moduli space of abelian varieties G. Frey and E. Kani, Projective p-adic representations of the k-rational geometric fundamental group, Archiv der Mathematik 77 (2001), 32--46. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; intersection numbers; tautological rings; mock theta function K. Liu and H. Xu, Descendent integrals and tautological rings of moduli spaces of curves, Geometry and analysis. Vol. 2, Adv. Lect. Math. (ALM) 18, International Press, Somerville (2011), 137-172. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Higgs line bundle; Kähler manifold; characters of the fundamental group; number of equivalence classes of holomorphic maps onto curves Saito, M.: On Kollár's conjecture. Several complex variables and complex geometry. In: Proc. Sympos. Pure Math., vol. 52, pp. 509-517. AMS, Providence, RI (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) cyclotomic unit; arithmetic of an elliptic curve; Mordell-Weil group; Tate-Shafarevich group; Birch and Swinnerton-Dyer conjecture; Weil curves; Selmer group; family of Heegner points; elliptic units V. A. KOLYVAGIN, The Mordell-Weil and Shafarevich-Tate groups for Weil elliptic curves. (Russian) Izv. Akad. Nauk SSSR Ser. Mat., 52, no. 6 (1988), pp. 1154-1180, 1327; translation in Math. USSR-Izv., 33, no. 3 (1989), pp. 473-499. Zbl0681.14016 MR984214 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) tame automorphisms; polynomial automorphisms; affine space; linear algebraic groups; approximation of automorphisms; jet groups J.-P. Furter, Jet groups, J. Algebra 315 (2007), no. 2, 720--737. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; Hilbert function; unions of lines; rational 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) Weierstrass semigroup; asymptotically good tower of function fields Pellikaan R., Stichtenoth H., Torres F. (1998). Weierstrass semigroups in an asymptotically good tower of function fields. Finite Fields Appl 4(4):381--392 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 Artin groups; arrangements of hyperplanes; group cohomology; local systems; Salvetti complexes; Milnor fibrations; spectral sequences; braid groups; Coxeter groups; classifying 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) function fields; algebraic varieties; divisors; line bundles; vector bundles; sheaves; cohomology; elliptic curves; curves over arithmetic fields; Belyi's theorem; algebraic curves; one-dimensional varieties; coherent sheaves on curves; Riemann-Roch theorem; hyperelliptic curves; Serre duality | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 simple algebras; irreducible lattices; rings of invariants; function fields; normal varieties; coordinate rings; reduced traces; Cayley-Hamilton algebras; étale local classes; smooth orders Lieven Le Bruyn, ''Non-smooth algebra with smooth representation variety (asked in MathOverflow)'', | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; elliptic curves over finite fields; exponential sums; Riemann 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) local fields; p-adic number fields; diophantine equations; Bernoulli numbers; recurrent series; power series of algebraic; functions; Weierstrass preparation theorem; Newton polygon; Kronecker-Weber theorem; Jacobi sums; Hasse principle; Selmer; group; p-adic L-functions; rationality of power series J. W. S. Cassels, \textit{Local fields}, London Mathematical Society Student Texts, Vol. 3, Cambridge University Press, Cambridge, 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) moduli space of curves; conformal field theory; D-modules; affine Lie algebra; highest weight; conformal blocks; sheaf of Virasoro algebras; Ward-Takahashi identities Tsuchiya, A.; Ueno, K.; Yamada, Y., Conformal field theory on universal family of stable curves with gauge symmetries, \textit{Adv. Stud. Pure Math.}, 19, 459-566, (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) symposium; proceedings; Kyoto (Japan); deformation of group schemes; Number theory; finite group schemes; Kummer-Artin-Schreier-Witt theory; Galois module structure; algebraic curves; Hopf algebra | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Seshadri lemma; invariant function; algebraic group acting on irreducible affine variety Popov, V. L.: On the ''lemma of Seshadri, Adv. soviet math. 8, 133-139 (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) Fundamental group; varieties isogenous to a product of curves; quotient varieties; quotient group. Dedieu, T.; Perroni, F.: The fundamental group of a quotient of a product of curves. J. group theory 15, No. 3, 439-453 (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) Newman's conjecture; zeros of the Riemann zeta function; \(L\)-functions; function fields; random matrix theory; Sato-Tate conjecture Andrade, J.; Chang, A.; Miller, S. J.: Newman's conjecture in various settings. J. number theory 144, 70-91 (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) fundamental group of the affine line; characteristic \(p\) Shreeram S. Abhyankar, Fundamental group of the affine line in positive characteristic, Geometry and analysis (Bombay, 1992) Tata Inst. Fund. Res., Bombay, 1995, pp. 1 -- 26. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) nice quintinomial equations for unramified coverings of the once punctured affine line; projective symplectic similitude group; Galois groups Abhyankar S S and Loomis P A, Once more nice equations for nice groups,Proc. Am. Math. Soc. 126 (1998) 1885--1896 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 subgroup of Galois group; Iwasawa theory; elliptic curves; imaginary quadratic field; \({bbfZ}_{\ell }\)-extension; abelian extension; maximal abelian p-extension | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; regular automorphisms Bodnarchuk, Yu., Every regular automorphism of the affine Cremona group is inner, J. Pure Appl. Algebra, 157, 115-119, (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) tame ramification; Coates algorithm; elements of bounded norm; global function field; reduced integral bases; Puiseux series; Riemann-Roch space; successive minima; unit group; torsion units; root tests Schörnig, M., 1996. Untersuchungen konstruktiver Probleme in globalen Funktionenkörpern. Thesis. TU 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) covers of the line; local-global questions; \(p\)-adic fields; \(G\)-cover; inverse Galois problem; Galois group; field of moduli; field of definition Dèbes, P.: G-covers ofp1. Contemp. math. 186, 217-238 (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) section conjecture; hyperbolic curves over function fields; finitely generated 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) Calabi-Yau threefolds; McKay correspondence; crepant resolutions; complex threefold; finite group of automorphisms; Euler number G. Markushevich, ''Resolution of \(\mathbb{C}\)3/H 168,''Math. Ann.,308, 279--289 (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) automorphisms of curves Schneps L.: Special Loci in Moduli Spaces of Curves. Mathematical Sciences Research Institute Publications, vol. 41, pp. 217--275. Cambridge University Press, London (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) automorphisms of polynomial algebras; tame automorphisms; wild automorphisms; defining relations of group of tame automorphisms Umirbaev U. U., ''Defining relations of the tame automorphism group of polynomial algebras in three variables,'' J. Reine Angew. Math. (Crelles Journal), No. 600, 203--235 (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) nonstandard arithmetic; Galois theory; decision procedures; elementary theory of algebraically closed fields; undecidability; nonstandard model theory; Hilbert's irreducibility theorem; pseudo-algebraically closed fields; PAC fields; ultraproducts; Hilbertian field; absolut Galois group; embedding property M. Fried - M. Jarden , '' Field Arithmetic '', Springer-Verlag , 1986 . MR 868860 | Zbl 0625.12001 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; group schemes of order p; moduli; twisted curves [2] D. Abramovich & M. Romagny, `` Moduli of Galois \(p\)-covers in mixed characteristics {'', \(Algebra Number Theory\)6 (2012), no. 4, p. 757-780. &MR 29 | &Zbl 1271.} | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cross-correlations of shift register sequences; number of rational places of function fields defined over finite fields; Goppa algebraic-geometric codes; weight distributions; duals of BCH codes G. Garcia, ''Henning Stichtenoth algebraic function fields over finite fields with many rational places, '' IEEE Trans. Info. Theory, IT-41, 1548--1563 (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) cyclic function fields; \(L\)-functions unctions of functions fields; mean value of \(L\)-functions; zeta functions; function; class number Rosen, M.: Average value of class numbers in cyclic extensions of the rational function field. In: Number Theory. (Halifax, NS, 1994), pp. 307-323, CMS Conference Proceedings, vol. 15. American Mathematical Society, Providence, RI (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) \(n\)-dimensional crystallographic groups; point groups; lattices; group algebras; rational function fields; birational invariants Farkas, D. R.: Birational invariants of crystals and fields with a finite group of operators. Math. proc. Cambridge philos. Soc. 107, 417-424 (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) automorphic form; Drinfeld shtuka; Langlands correspondence; moduli stack of shtukas; global Langlands conjecture; function fields Laumon, G.: Chtoucas de Drinfeld et correspondance de Langlands. Gaz. Math. \textbf{88}, 11-33 (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) Arithmetic theory of algebraic functions; Dedekind-Weber theory; algebraic function fields; linear systems; divisors; Abelian differentials | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Gauss sums; Beta-function; hyperadelic \(\Gamma \) -function; Tate-modules of the Fermat curves; Jacobi sums; cyclotomy Coleman, R.: Anderson-ihara theory: Gauss sums and circular units. Adv. stud. Pure math. 17, 55-72 (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) algebraic geometric codes; geometric Goppa codes; bounds on linear codes; algebraic curves; function fields; tensor rank; multiplication in finite fields; bilinear complexity | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) quasi-periodic solutions; BKP hierarchy; quasi-periodic \(\tau \) - functions; theta functions; Prym varieties of algebraic curves; wave functions; soliton solutions; Abelian integrals; pole divisor; Riemann's theta function .Publ. RIMS, Kyoto Univ. 18 (1982), 1111--1119; | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) additive actions on affine space; locally nilpotent derivations; automorphisms of polynomial algebras; automorphisms of affine spaces; unipotent 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) cuspidal curves; family of plane curves; pull-backs of a conic; fundamental group; Alexander polynomial Cogolludo-Agustín, J. I., Fundamental group for some cuspidal curves, Bull. Lond. Math. Soc., 31, 2, 136-142, (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) rationally connected varieties; local fields; unirational variety; chain of rational curves J. Kollár, ''Rationally connected varieties over local fields,'' Ann. of Math., vol. 150, iss. 1, pp. 357-367, 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) affine variety; unipotent algebraic group; set of fixed points Jelonek, Z; Lasoń, M, The set of fixed points of a unipotent group, J. Algebra, 322, 2180-2185, (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) moduli stacks of curves; trigonal curves; mapping class groups; Teichmüller spaces; braid groups; orbifold fundamental group Bolognesi, M.; Lönne, M., \textit{mapping class groups of trigonal loci.}, Selecta Math. (N.S.), 22, 417-445, (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) isomorphism classes of simple n-dimensional representation of a finitely generated group; tangents to formal curves; algebraic set; tangent cones to representation varieties DOI: 10.1007/BF02783301 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 group; moduli space of Riemann spheres; outer automorphisms; algebraic fundamental group; Grothendieck-Teichmüller group D. Harbater and L. Schneps: Fundamental groups of moduli and the Grothendieck--Teichmüller group , Trans. Amer. Math. Soc. 352 (2000), 3117--3148. 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) Weil curves; elliptic curve; L-function; Shafarevich-Tate group Борисов, А. В.; Мамаев, И. С., Странные аттракторы в динамике кельтских камней, УФН, 173, 4, 407-418, (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) absolute Galois group of rational function field; real closed field; Tarski principle; transfer principle L P.D. v.d. Dries and P. Ribenboim , An application of Tarski's principle to absolute Galois groups of function fields , Queen's Mathematical Preprint No. 1984-8. | 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) minimal surface of general type; finite group of automorphisms Xiao G. (1990). On abelian automorphism group of a surface of general type. Invent. Math. 102(3): 619--631 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 curves; birational automorphisms; number of fixed 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) generalization of class field theory; local fields; global fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor Kato, K. : A generalization of class field theory (Japanese) . Sûgaku 40 (1988) 289-311. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cellular complex; complement of a family of hyperplanes in \(\mathbb{C}^ N\); homology of local systems on an affine space; homology group; configurations of hyperplanes; fundamental strata; Grassmannian Prati, M. C.; Salvetti, M.: On local system over complements to arrangements of hyperplanes associated to grassman strata. Ann. mat. Pura appl. 159, 341-355 (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) number of points on elliptic 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) theta-function; tau-function; classical limit; form factors of fields; Knizhnik-Zamolodchikov equation; finite-gap integration Smirnov F.A. (1993) Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration. Commun. Math. Phys. 155, 459--487 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; rational points; curves over finite fields; class field towers; applications to coding theory; low-discrepancy sequences Niederreiter, Harald; Xing, Chaoping: Rational points on curves over finite fields--theory and applications, (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) elliptic genus; formal group laws associated to supersingular elliptic curves; Jacobi quartics; Legendre polynomials; elliptic curves of Weierstrass forms; discriminant Landweber, P.S.: Supersingular Elliptic Curves and Congruences for Legendre Polynomials. In: Landweber, P.S. (ed.) Elliptic Curves and Modular Forms in Topology. Proceedings, Princeton 1986. (Lect. Notes Math., vol. 1326, pp. 69--93) Berlin Heidelberg New York: Springer 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) modular curves; splitting of primes; number 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) arithmetic on curves of genus one; Tate-Shafarevich group; Selmer group; Weil-Chatelet group Cassels, J. W. S., Arithmetic on curves of genus 1. III. the Tate-šafarevič and Selmer groups, Proc. London Math. Soc. (3), 12, 259-296, (1962) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 Rosay, J.-P.: Automorphisms of \({\mathbb{C}}^n\), a survey of Andersén-Lempert theory and applications, Contemp. Math., vol. 222. AMS, 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) curves and abelian varieties over finite fields; distribution of the trace of matrices; equidistribution; Frobenius operator; generalized Sato-Tate conjecture; Katz-Sarnak theory; random matrices; Weyl's integration formula | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 cohomology; number fields; elliptic curves; abelian varieties; function fields; profinite groups; class field theory; formal groups; Milnor K-groups; Lubi-Tate 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) fixed-point-free elements in finite groups; value set of a polynomial; curves over finite fields Guralnick, R., Wan, D.: Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Isr. J. Math. 101, 255--287 (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) moduli space of vector bundles; representation spaces; fundamental group; Seifert manifold; \({\mathbb{Z}}\)-homology sphere; Floer homology; Morse function; Dolgachev surface; Chern classes; smooth rational varieties; Betti numbers; Weil conjectures S. Bauer and C. Okonek, The algebraic geometry of representation spaces associated to Seifert fibered homology \(3\)-spheres , Math. Ann. 286 (1990), no. 1-3, 45-76. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Mordell's conjecture over function fields; theorem of the kernel . Coleman, R.F. , '' Manin's proof of the Mordell conjecture over function fields '', preprint. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 of curves; inertia group Rachel J. Pries, ``Families of wildly ramified covers of curves'', Am. J. Math.124 (2002) no. 4, p. 737-768 | 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) Schwartz-Bruhat space; complex power of a K-analytic function; desingularisation; exceptional curves J. Igusa , Complex powers of irreducible algebroid curves, in Geometry today, Roma 1984 , Progress in Mathematics 60, Birkhaüser (1985), 207-230. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; categorical quotient of a variety; invariant of a linear group; variety of \(m\)-typles Zubkov, A.N.: Invariants of an adjoint action of classical groups. Algebra Logic 38(5), 299--318 (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) Castelnuovo-Mumford regularity; rational points in projective spaces over finite fields; Hilbert function; index of stability E. Kunz and R. Waldi, On the regularity of configurations of \(\mathbb{F}_q\)-rational points in projective space , J. Comm. Alg. 5 (2013), 269-280. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) von Neumann regular; irreducible varieties; irreducible affine algebraic monoid; group of units Renner, L. E.,Reductive monoids are von Neumann regular, J. of Algebra93 (1985), 237--245. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 analogue of the theory of elliptic modular curves; Drinfeld modules; Drinfeld's upper half-plane; expansions at the cusps of certain modular forms; Manin-Drinfeld theorem; algebraic modular forms; jacobian Ernst-Ulrich Gekeler, Drinfel\(^{\prime}\)d modular curves, Lecture Notes in Mathematics, vol. 1231, Springer-Verlag, Berlin, 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) Galois group; general linear group; algebraic fundamental group; unramified covering of the affine line; general semilinear group Abhyankar S S, Semilinear transformations,Proc. Am. Math. Soc. 127 (1999) 2511--2525 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; two sided cells; affine Weyl group; unipotent classes; complex reductive group; variety of Borel subgroups; affine Hecke algebras; equivariant vector bundles Lusztig, G., Cells in affine Weyl groups, IV, \textit{J. Fac. Sci. Univ. Tokyo Sect. IA. Math.}, 36, 297-328, (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) generating function; Belyi functions; algebraic curves; automorphism group; fatgraphs Di Francesco, P.; Itzykson, C., A generating function for fatgraphs, Ann. Inst. Henri Poincaré Phys. Théor., 59, 117-139, (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) Siegel modular group; resolution of cusps; rational Hilbert modular surfaces; canonical maps; modular curves; intersection theory; moduli spaces; abelian varieties with real multiplication; Kummer surface Friedrich Hirzebruch and Gerard van der Geer, Lectures on Hilbert modular surfaces, Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 77, Presses de l'Université de Montréal, Montreal, Que., 1981. Based on notes taken by W. Hausmann and F. J. Koll. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 problem; integrble systems; generic affine variety; flows of the integrable vector fields; geodesic flow Bueken, P. and Vanhaecke, P., The Moduli Problem for Integrable Systems: The Example of a Geodesic Flow on SO(4), J. London Math. Soc. (2), 2000, vol. 62, no. 2, pp. 357--369. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) automorphism groups of function fields; function fields over 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) Mordell-Weil groups; elliptic curves; function fields; fibrations | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) cuspidal divisor class group; group of modular units; modular; curves; congruence subgroups; Jacobian; cuspidal groups; arithmetic of special values of L-functions; weight two Eisenstein series; congruence formulae Glenn Stevens, The cuspidal group and special values of \(L\)-functions, Trans. Am. Math. Soc.291 (1985), p. 519-550 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) effective Chabauty; cardinality of rational points on a curve; Fermat's Last Theorem; rank of the Mordell-Weil group; Fermat curve; rational points on curves W. G. McCallum, ''On the method of Coleman and Chabauty,'' Math. Ann., vol. 299, iss. 3, pp. 565-596, 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) connected Lie group; affine transformations; complex affine plane; finite number of orbits; orbital decompositions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) projective curves of genus \(g\) with \(n\)-marked points; pro-\(l\) towers of fields of definition; moduli stack; Galois-Teichmüller modular groups; nonabelian analogs of the Tate conjecture Hiroaki Nakamura, Coupling of universal monodromy representations of Galois-Teichmüller modular groups, Math. Ann. 304 (1996), no. 1, 99 -- 119. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Discriminants; polar curves; to vanish; double root; triple root; differential coefficient; function of several variables; homogeneous coordinates; pole of a curve; order; double points; locus; peak; tangent | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) field of definition of the Néron-Severi group; 2-coverings; elliptic curve over function field H.P.F. Swinnerton-Dyer , The field of definition of the Néron-Severi group , Studies in Pure Mathematics, 719-731. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) gonality; hyperbolic volume; first eigenvalue; Laplacian; non-Archimedean field; rigid analytic; graphs; stable gonality; harmonic morphism; Drinfeld modular curves; congruence subgroups function fields Cornelissen, G.; Kato, F.; Kool, J., \textit{A combinatorial Li-Yau inequality and rational points on curves}, Math. Ann., 361, 211-256, (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) lifting problem; deformation of \({\mathbb{G}}_ a\) to \({\mathbb{G}}_ m\); characteristic p; automorphism group; Galois covering of curves; class field theory; Artin-Schreier sequence; Kummer sequence Sekiguchi, T.; Oort, F.; Suwa, N., On the deformation of Artin-Schreier to Kummer, Annales Scientifiques de l'École Normale Supérieure, 22, 345-375, (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) automorphisms of polynomial algebras; affine spaces; homogeneous system of parameters; Gröbner bases Furter, J-P, Polynomial composition rigidity and plane polynomial automorphisms, J. Lond. Math. Soc., 91, 180-202, (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) solvable fundamental group; Veronese surfaces; complement of branch curves; solvable groups; Veronese embedding Teicher M. The fundamental group of a \(\mathbb{C}\)\(\mathbb{P}\)2 complement of a branch curve as an extension of a solvable group by a symmetric group. Math Ann, 314: 19--38 (1999) | 0 |
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