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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) resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 field; towers of 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) surfaces of general type; Albanese morphism; automorphisms; group actions; quotients; product-quotient surfaces; irregular surfaces; surfaces with \(p_g=q=2\) | 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) cohomology of quotients of group actions; equivariant cohomology; stratification; Morse function; Hodge numbers F.C. Kirwan, \textit{Cohomology of quotients in symplectic and algebraic geometry}, Princeton University Press, Princeton U.S.A. (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) deformations of Klein curve; group of automorphisms; deformations of Riemann surfaces; Torelli theorem; abelian differentials; Hodge decomposition; geodesics; quadratic 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) Schottky group; non-archimedean valued fields; sheaves of normed; vector spaces; vector-bundle on the Mumford curve; semi-stable; vector bundle M. van der Put etM. Reversat, Fibrés vectoriels semi-stables sur une Courbe de Mumford. Math. Ann.273, 573--600 (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) quadratic forms; function field of a quadric; Pfister forms; Pfister neighbor; Galois cohomology; unramified cohomology; Voevodsky's motivic cohomology; Chow group B. KAHN - R. SUJATHA, Motivic cohomology and unramified cohomology of quadrics. J. Eur. Math. Soc. (JEMS), 2 no. 2 (2000), pp. 145-177. Zbl1066.11015 MR1763303 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Euler product; arithmetic surface; Jacobian zeta function; modular curve; survey; Dirichlet series; L-series of elliptic curves; conjecture of Birch and Swinnerton-Dyer; Hasse-Weil conjecture; analytic continuation; functional equation; Shimura-Taniyama conjecture; Serre's conjecture; modular representations | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) general K3-surfaces in the 3-dimensional flag variety projective 2-space; group of automorphisms; orthochronous Lorentz group; Picard group J. Wehler, \(K\)3-surfaces with Picard number 2. Arch. Math. (Basel) 50(1), 73-82 (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) local symbol; integral polynomials over quartic number fields; ramification; Polya field with class number one; product formula of local group homomorphisms; Brauer groups of global fields; decomposition group; Frobenius element; Stickelberger congruence; quadratic reciprocity law Zantema, H., ?Global restrictions on ramification in number fields?, to appear | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) curves of genus two; Jacobians; canonical height; infinite descent; Mordell-Weil group; algorithm E.V. Flynn and N.P. Smart, Canonical heights on the Jacobians of curves of genus 2 and the infinite descent, Acta Arith., 79 (1997), 333-352. MR 98f:11066 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; cohomology of the mapping class group; orientable surfaces; characteristic classes; Mumford-Morita-Miller classes Kawazumi, N., Morita, S.: The primary approximation to the cohomology of the moduli space of curves and cocycles for the Mumford-Morita-Miller classes. http://kyokan.ms.u-tokyo.ac.jp/users/preprint/pdf/2001-13.pdf (\textbf{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) automorphisms; vector fields; Lie algebras; affine \(n\)-space | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) ruled function fields; Zariski problem; finitely generated extensions; automorphisms James K. Deveney, Automorphism groups of ruled function fields and a problem of Zariski, Proc. Amer. Math. Soc. 90 (1984), no. 2, 178 -- 180. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Gromov-Witten invariants; group actions; Hamiltonian invariants; torus actions; geometric quotients; stable curves; symplectic geometry; number of rational curves Halic, M.: GW Invariants and Invariant Quotients. Comment. Math. Helv. 77, 145--191 (2002) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) upper bounds for solutions of diophantine equations; Runge theorem; finiteness of number of solutions; Brauer-Siegel theorem; Baker-Coates theory; linear forms in logarithms of algebraic numbers; \(p\)-adic case; representation of numbers by binary forms; Thue equation; rational approximations to algebraic numbers; effective strengthening of Liouville inequality; solution of Thue equation in \(S\)-integers; non-Archimedean metrics; polynomial equation; Mordell equation; Catalan equation; size of ideal class group; small regulator; effective variants of Hilbert on irreducibility of polynomials; Abelian points on algebraic curves Sprindžuk, Vladimir G., Classical Diophantine Equations, Lecture Notes in Mathematics 1559, xii+228 pp., (1993), Springer-Verlag, 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) definition of an affine algebraic group; group inversion | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 problem of Galois theory; Fischer-Griess monster as Galois group over \(\mathbb{Q}\); finite simple groups; fundamental group; rigid simple groups; cyclotomic field; discrete subgroups of \(PSL_2(\mathbb{R})\); congruence subgroup; modular curve; Puiseux series; group of covering transformations; compact Riemann surface; algebraic function field; ramification points; cusps J. Thompson , Some finite groups which appear as Gal (L/K) where K \subset Q(\mu n) , J. Alg. 89 (1984) 437-499. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 \(p\); good reduction; constructing unramified coverings of the affine line; modular curves; Galois groups of unramified coverings of the affine line; Klein curve; Macbeath curve; big automorphism groups; Jacobian varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) mirror symmetry; mirror map; complete intersection Calabi-Yau spaces; Picard-Fuchs equations; instanton corrected Yukawa couplings; topological oneloop partition function; higher dimensional moduli spaces; closed formulas; prepotential; Kä|hler moduli fields; singular ambient space; nonsigular weighted projective spaces; three generation models; topology change; local solutions; topological invariants; Calabi-Yau manifold; rational superconformal field theories; elliptic curves; \(E_6\) gauge couplings; \(E_8\) gauge couplings; threshold corrections; Gromov-Witten invariants S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, \textit{Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces}, \textit{Nucl. Phys.}\textbf{B 433} (1995) 501 [hep-th/9406055] [INSPIRE]. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; group of \({\mathbb{C}}\)-algebra automorphisms; reflexive modules; almost split sequences; Auslander-Reiten quiver; McKay graph; desingularization graph; singularity Auslander M.: Rational singularities and almost split sequences. Trans. Am. Math. Soc. 293(2), 511--531 (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) construction of Galois extensions; Galois group; rational curves; division points; elliptic curves; Chebotarev density theorem Asada, M.: Construction of certain non-solvable unramified Galois extensions over the total cyclotomic field. J. fac. Sci. univ. Tokyo sect. IA math. 32, 397-415 (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) invariant field of automorphism group; rational function field; rationality problem | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) tensor product of quaternion algebras; central simple algebras; orthogonal involution; Brauer-Severi variety; involution variety; function fields; generic isotropic splitting field; Brauer groups; Quillen \(K\)-theory D. Tao, ''A variety associated to an algebra with involution'',J. Algebra,168, 479--520 (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) elliptic curves over global fields; Mordell-Weil group; twist theory Yamagishi, H, On certain twisted families of elliptic curves of rank 8, Manuscr. Math., 95, 1-10, (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) isogeny graphs; \((\ell, \ell)\)-isogenies; principally polarised abelian varieties; Jacobians of hyperelliptic curves; lattices in symplectic spaces; orders in CM-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) triangular transformations group; affine space; wreath product of translation 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) isomorphism classes; hyperelliptic curves of genus 2; finite fields; hyperelliptic curve cryptography Choie Y., Yun D.: Isomorphism classes of hyperelliptic curves of genus \(2\) over \({\mathcal{F}}_{2}^{n}\). In: Proceedings of the ACISP 2002. LNCS, vol. 2384, pp. 190-202 (2002). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 of a Klein surface; period matrix; group of automorphisms Riera, J. London Math. Soc. 51 pp 442-- (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) action of linear group; prehomogeneous vector spaces; roots of b- function; castling transform Igusa, J.: On certain class of prehomogeneous vector spaces. J. pure appl. Algebra 47, 265-282 (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) hyperelliptic curves; automorphisms; field of moduli; field of definition Fuertes, Y.: Fields of moduli and definition of hyperelliptic curves of odd genus, Arch. math. (Basel) 95, 15-81 (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) character variety; Hodge-Deligne polynomial; E-polynomial; parabolic Higgs bundles; doubly periodic instantons; representations of fundamental group; punctured 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) rank of elliptic curves; function field; multiplicative order | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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-Shafarevich group; local-global principle; patching; central simple algebras; Brauer group; arithmetic duality; function fields; higher-dimensional local fields Izquierdo, Diego Principe local-global pour les corps de fonctions sur des corps locaux supérieurs I \textit{J.~Number Theory}157 (2015) 250--270 Math Reviews MR3373241 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) reciprocity law for surfaces over finite fields; group of degree 0 zero- cycles; rational equivalence; abelian geometric fundamental group; unramified class field theory; K-theory; Chow groups Jean-Louis Colliot-Thélène & Wayne Raskind, ``On the reciprocity law for surfaces over finite fields'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.33 (1986) no. 2, p. 283-294 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 curves; global fields; Kodaira-Spencer class Gerd Faltings , Does there exist an arithmetic Kodaira-Spencer class? , Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), Contemp. Math. 241, American Mathematical Society, 1999, p. 141-146 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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-function; Tate-module of an elliptic curve; Iwasawa-modules; CM- curves; two variable main conjecture Coates, J.; Schmidt, C.-G., Iwasawa theory for the symmetric square of an elliptic curve, Journal für die Reine und Angewandte Mathematik, 375/376, 104-156, (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) dessins d'enfants; origami curves; Grothendieck-Teichmüller group; Veech group, cusps of origami curves Herrlich, F; Schmithüsen, G, Dessins d'enfants and origami curves, Handb. Teichmüller Theory, 2, 767-809, (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) affine varieties; curves; projective; varieties; textbooks in algebraic geometry; local properties of varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; genus 2 curves; moduli space; elliptic fields; invariant theory Shaska T. (2004). Genus 2 fields with degree 3 elliptic subfields. Forum Math. 16(2):263--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) specialization of Galois extensions; function fields; Chebotarev property; Hilbert's irreducibility theorem; local and global fields Checcoli, S.; Dèbes, P.: Tchebotarev theorems for function fields. (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) public key cryptography; discrete logarithm; abelian varieties over finite fields; Jacobian varieties of hyperelliptic curves; Galois theory; Weil descent; Tate duality G. Frey, Applications of arithmetical geometry to cryptographic constructions, in Proceedings of the Fifth International Conference on Finite Fields and Applications (Springer, Berlin, 2001), pp. 128--161 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 functions of one variable; algebraic function fields; arbitrary field of constants | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) defect of the valued function fields; genus; ramification index Michel Matignon, Genre et genre résiduel des corps de fonctions valués, Manuscripta Math. 58 (1987), no. 1-2, 179 -- 214 (French, with English summary). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) affine Cremona group; automorphism of affine space; tame automorphism | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 representations; big monodromy; elliptic curves over function fields; 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) \(l\)-adic Abel-Jacobi map; group of codimension-\(n\) cycles modulo rational equivalence; filtration; \(l\)-adic étale cohomology; cycle map; function field in one variable W. Raskind, ''Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups,'' Duke Math. J., vol. 78, iss. 1, pp. 33-57, 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) supercurve; Arf function; super-Fuchsian group; moduli space of rank 2 spinor bundles | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 smooth curves; rational points group of the Picard scheme; canonical divisor class DOI: 10.1007/BF01389421 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) plane algebraic curves; characteristic variety; fundamental group of the complement to the curve A. Libgober, Characteristic varieties of algebraic curves, Applications of algebraic geometry to coding theory, physics and computation (Eilat, 2001) NATO Sci. Ser. II Math. Phys. Chem., vol. 36, Kluwer Acad. Publ., Dordrecht, 2001, pp. 215 -- 254. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; Hasse principle; function fields of genus 1 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 algebraic groups; embedding of the affine line; principal bundles | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) threefolds; pencil of del Pezzo surfaces; exceptional curves; Prym-Tyurin variety; intermediate Jacobian; Chow group Kanev V., Intermediate Jacobians and Chow groups of threefolds with a pencil of del Pezzo surfaces, Ann. Mat. Pura Appl., 1989, 154, 13--48 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Teichmüller space; characterization of groups as automorphism groups of curves; Klein quartic; PSL(2,7); \(S_ 4\); Teichmüller modular group Kuribayashi, I.: On certain curves of genus three with many automorphisms. Tsukuba J. Math. 6, 271-288 (1982) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) representation theory; reductive algebraic groups; simple G-modules; highest weights; character formula; Weyl's formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology ring; ring of regular functions; Schubert schemes; line bundles [6] Jantzen J.\ C., Representations of Algebraic Groups, Academic Press, Orlando, 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) simple abelian varieties of prime dimension; Hodge conjecture on algebraic cycles; zeta-function of the abelian variety; Tate conjecture; Mumford-Tate group; Mumford-Tate conjecture DOI: 10.1070/IM1983v020n01ABEH001345 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 representations of affine group scheme; fundamental group scheme; non-commutative formal groups; characteristic p Nori, M. V., \textit{the fundamental group-scheme}, Proc. Indian Acad. Sci. Math. Sci., 91, 73-122, (1982) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 global fields; Mordell-Weil group Shoichi Kihara, On an infinite family of elliptic curves with rank \ge 14 over \?, Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), no. 2, 32. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) densities of discriminants of cubic fields; 3-class-number of quadratic fields; binary cubic forms; adelization; zeta-functions; function field; Dedekind's 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) strata of differentials; moduli space of curves; complete curves; affine varieties; affine invariant manifolds | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; towers of function fields; congruence zeta functions DOI: 10.3836/tjm/1202136690 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) defining relations between generators in the group of birational automorphisms; Cremona group (V. A. Iskovskikh with F. K. Kabdykairov and S. L. Tregub) ''Relations in the two-dimensional Cremona group over a perfect field,''Izv. Rossiisk Akad. Nauk, Ser. Mat.,57, No. 3, 3--69 (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) tame automorphisms; affine group; amalgamated product E. Edo, D. Lewis, \textit{The affine automorphism group of}\( {\mathbb{A}}^3 \)\textit{is not a maximal subgroup of the tame automorphism group}, Michigan Math. J. \textbf{64} (2015), no. 3, 555-568. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) homogeneous two dimensional complex manifolds; action of real Lie group of holomorphic automorphisms; CR-structure; Heisenberg group [OR] Oeljeklaus, K., Richthofer, W.: Homogeneous complex surfaces. Math. Ann.268, 273--292 (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) Belyı curves; Beauville surfaces; fields of definition; Higgs fields; rigidity; Shimura varieties; spreads | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) three dimensional affine space; linearizability of algebraic group actions; geometric invariant theory J.-P. Furter, H. Kraft, \textit{On the geometry of the automorphism group of affine n-space}, 2013, to appear. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) arithmetic geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 automorphisms; rational curve; affine 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) transfer principle; absolute Galois group of the rational function field; real closed field; Tarski principle L. van den Dries and P. Ribenboim, ''An application of Tarski's principle to absolute Galois groups of function fields,'' Ann. Pure Appl. Log., 33, 83--107 (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) order of an automorphism; characteristic \(p\); group of automorphisms; 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) curves over finite fields; error-correction codes; function field; genus Lewittes J.: Places of degree one in function fields over finite fields. J. Pure Appl. Algebra. 69(2), 177--183 (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) universal Picard variety; universal Jacobian variety; moduli space of smooth curves; relative Néron-Severi group Kouvidakis, A., The Picard group of the universal Picard varieties over the moduli space of curves, J. Differential Geom., 34, 3, 839-850, (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) fundamental group of irreducible curve; representation for curves of higher genus; Galois action; monodromy action | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) enumerative geometry of moduli spaces of curves; generators of Picard group; nodal curves; Severi problem; Severi varieties; divisor classes S. Diaz - J. Harris, Geometry of Severi varieties, Trans. Amer. Math. Soc. 309 (1988) 1-34. Zbl0677.14003 MR957060 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 marked Riemann surfaces; singular Riemann surfaces; Lie algebras of meromorphic vector fields; elliptic curves; complex tori; algebraic geometric degeneration; Riemann sphere M. Schlichenmaier, ''Degenerations of Generalized Krichever-Novikov Algebras on Tori,'' J. Math. Phys. 34, 3809--3824 (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) Nakai's conjecture; geometric local ring; high order derivations; invariant subrings of regular rings; action of a finite group of automorphisms Ishibashi, Yasunori: Nakai's conjecture for invariant subrings. Hiroshima math. J. 15, No. 2, 429-436 (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) unirational function fields; unramified cohomology group Peyre, E.: Unramified cohomology and rationality problems. Math. Ann. 296, 247--268 (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) Weierstrass point; Brill-Noether theory; Kodaira dimension; degenerations; smoothings of linear series; moduli space of curves of genus g; monodromy group Eisenbud, D., Harris, J.: The irreducibility of some families of linear series. (Preprint 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) Beilinson conjectures; motives; Hecke characters of imaginary quadratic fields; regulator map; \(p\)-adic \(K\)-theory; Galois cohomology group; \(p\)-adic \(L\)-series Geisser, p-adic K-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures, Duke Math. J. 86 (2) pp 197-- (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) algebraic independence of logarithms of algebraic numbers; affine cone over the Grassmannian; four exponentials conjecture; new type of auxiliary function; algebraic variety Bertrand, D.: Lemmes de zéros et nombres transcendants. Séminaire Bourbaki, 1985-1986, exposé no. 652, S.M.F. Astérisque, \textbf{145-146}, 21-44 (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) ordinary singularities of curves; coordinate ring of a curve; Hilbert function; Cohen-Macaulay type; K-theory Gupta, S. K.; Roberts, L. G., Cartesian squares and ordinary singularities of curves, \textit{Commun. Algebra}, 11, 2, 127-182, (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) automorphic forms on function fields; automorphic cuspidal module; filtration on the moduli stack of shtukas; absolute values of the complex Hecke eigenvalues; full trace formula; residual spectrum | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; Jacobians; automorphisms of curves; abelian functions; soliton equations; integrable Hamiltonian systems; Poincaré reducibility; KP equation; KdV equation; Krichever theory; Calgorero-Moser system Emma Previato, Some integrable billiards, SPT 2002: Symmetry and perturbation theory (Cala Gonone), World Sci. Publ., River Edge, NJ, 2002, pp. 181 -- 195. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) theorem of Deuring and Shafarevich; algebraic function field; modular representation; rank of class group; ramification index R. Gold andM. Madan, An application of a Theorem of Deuring and Safarevic. Math. Z.191, 247-251 (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) function field; rational place; Weierstrass semigroup; tower of function fields Geil O., Matsumoto R.: Bounding the number of \(\mathbb{F}_q\)-rational places in algebraic function fields using Weierstrass semigroups. J. Pure Appl. Algebra \textbf{213}(6), 1152-1156 (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) algebraic surfaces; Kähler manifolds; moduli; deformations; topological methods; fibrations; Kodaira fibrations; Chern slope; automorphisms; uniformization; projective classifying spaces; monodromy; fundamental groups; variation of Hodge structure; absolute Galois group; locally symmetric varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 finite fields; rational points on elliptic curves; rank of elliptic curves Thus the optimum is attained for P = Y X(X>X)-1 and V = (X>X)-1 X>Y X(X>X)-1. 33 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) reductive group; quasi-affine homogeneous space; irreducible module; embedding; central 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) \(K3\) surfaces and Enriques surfaces; automorphisms of surfaces and higher dimensional varieties; group actions on varieties or schemes (quotients) DOI: 10.1016/j.jpaa.2005.09.009 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; Leech lattice; modular function; function field of the Riemann surface I. Connell, Addendum to a paper of K. Harada and M.-L. Lang: ``Some elliptic curves arising from the Leech lattice,'' J. Algebra 125 (1989), no. 2, 298--310, J. Algebra 145 (1992), 463--467. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 rank of the jacobians; superelliptic curves; Mordell-Weil group Murabayashi, N.: Mordell -- Weil rank of the Jacobians of the curves defined by \(yp=f(x)\). Acta arith. 64, No. 4, 297-302 (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) elliptic curves; torsion group; 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) transcendence degree; abelian varieties over global fields; Grothendieck conjecture; parameter space; periodic abelian varieties; Mumford-Tate group; Hodge type; period of abelian variety | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 global fields; Jacobian; Mordell-Weil 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) first cohomology group; Galois extension; finite dimensional projective modules; ring of invariants of groups of automorphisms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) irreducibility of system of irreducible plane curves; abelian; fundamental group of the complement of a nodal plane curve; degree n Oscar Zariski, On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 465 -- 481. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 Lettl, G, Thue equations over algebraic function fields, Acta Arith., 117, 107-123, (2005) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) weight one; space of holomorphic cusp forms; upper bound; dimension; modular curves; quartic fields; space of differential forms; Fourier coefficients; normalized newforms; Galois representations W. Duke, ''The dimension of the space of cusp forms of weight one,'' Internat. Math. Res. Notices, vol. 1995, iss. 2, p. no. 2, 99-109. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 function fields of genus one; real-closed field; J-invariant | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; local fields; admissible pairing; self-intersection of the relative dualising sheaf; symmetric roots Robin de Jong, Symmetric roots and admissible pairing, Trans. Amer. Math. Soc. 363 (2011), no. 8, 4263 -- 4283. | 0 |
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