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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) Schottky uniformization of algebraic curves; real hyperelliptic \(M\)-curves; Schottky-Klein prime function; explicit conformal slit mapping | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Zariski hyperplane section theorem; fundamental group of the complement to an affine plane curve I. Shimada, Fundamental groups of complements to hypersurfaces. RIMS Kôkyûroku 1033, 27-33 (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) infinitely near points; algebraic group actions; field of invariant rational functions; rationality of moduli spaces of pointed plane curves Mazouni, A, Quotient de la variété des points infiniment voisins d'ordre 9 sous l'action de \(PGL_{3}\), Bull. SMF, 124, 425-455, (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) arithmetic curves; line bundles with metrics; Arakelov class group; compactified Chow group; compactified Picard group; Arakelov theory; finiteness of the Picard groups; Arakelov ray class 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) Diffie-Hellman key exchange; discrete logarithm problem; real quadratic congruence function fields; elliptic curves Andreas Stein, Equivalences between elliptic curves and real quadratic congruence function fields, J. Théor. Nombres Bordeaux 9 (1997), no. 1, 75 -- 95 (English, with English and French summaries). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; spinor norm; Galois cohomology; unramified cohomology; étale cohomology; Chow group; spectral sequence B. Kahn and R. Sujatha, Unramified cohomology of quadrics II, Duke Mathematical Journal 106 (2001), 449--484. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) recursively axiomatized class; pseudo real closed fields; strongly pseudo real closed; totally transcendental; totally real; Hilbertian fields; Hilbert's irreducibility theorem; model complete; model companionable; elimination of quantifiers; decidable; orderings; Nullstellensätze; function field; holomorphy ring; Prüfer ring; generalized Jacobson ring; p-adically closed fields DOI: 10.1007/BF03322485 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 low genus; quadratic sequences; Mohanty's conjecture; function field arithmetic | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) prime ideals; group actions; affine algebraic groups; algebras of regular functions Lorenz, M.: Algebraic group actions on noncommutative spectra. Transform. Groups 14(3), 649--675 (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) finite automorphism group; elliptic fibrations; Enriques surfaces; universal covering surface; global Torelli theorem; dual graphs of nodal curves Kondō, S., Enriques surfaces with finite automorphism groups, Jpn. J. Math., 12, 191-282, (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) translation-invariant vector fields; affine Jacobians; spectral curves; hyperelliptic case Fu, B.: Champs de vecteurs invariants par translation sur LES jacobiennes affines des courbes spectrales. C. R. Math. acad. Sci. Paris 337, No. 2, 105-110 (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) cohomology group; cuspidal representation; dimension formula; automorphic forms; elliptic curves; good reduction; Lefschetz fixed point theorem; imaginary quadratic fields Krämer, N.: Beiträge zur arithmetik imaginärquadratischer zahlkörper. Bonner math. Schriften 161 (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) meromorphic functions; number field analogue of Nevanlinna's five-valued theorem counting multiplicities; uniqueness polynomials for complex meromorphic functions; non-Archimedean meromorphic functions; 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) moduli stack; one point marked smooth projective curves of genus; Galois-Teichmüller modular group Hiroaki Nakamura, Galois representations in the profinite Teichmüller modular groups, Geometric Galois actions, 1, London Math. Soc. Lecture Note Ser., vol. 242, Cambridge Univ. Press, Cambridge, 1997, pp. 159 -- 173. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Merkurev-Seislin theorem; Quillen-Lichtenbaum conjectures; algebraic K- theory of fields; Brauer-Severi varieties; Milnor K-groups; Bloch's group; Chow groups A. A. Suslin, ''Algebraic \(K\)-theory of fields,'' in Proceedings of the International Congress of Mathematicians, Vol. 1, 2, Providence, RI, 1987, pp. 222-244. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) global function fields; curves with many rational points | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 schemes of elliptic curves; Hecke algebra; rank of the group of integral modular units; congruence subgroup Scholl, A. J., On modular units, Math. Ann., 285, 3, 503-510, (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) topological zeta function; monodromy conjecture; local Denef-Loeser zeta function; superisolated singularity of hypersurface; rational arrangements of plane curves Artal Bartolo, E.; Cassou-Noguès, Pi.; Luengo, I.; Melle Hernández, A., Monodromy conjecture for some surface singularities, Ann. sci. éc. norm. supér. (4), 35, 4, 605-640, (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) weighted tree; fundamental group at infinity; characterization of the affine plane P. Russell, \textit{Some formal aspects of the theorems of Mumford-Ramanujam}, in: \textit{Algebra, Arithmetic and Geometry}, Part II (Mumbai, 2000), Tata Inst. Fund. Res. Stud. Math., Vol. 16, Tata Inst. Fund. Res., Bombay, 2002, pp. 557-584. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; group of automorphisms; Hecke category Ford, T. J.: Hecke actions on Brauer groups, J. pure appl. Algebra 33, No. 1, 11-17 (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) generalized Fermat curves; automorphisms group; complete intersection Hidalgo, R. A.; Kontogeorgis, A.; Leyton-Álvarez, M.; Paramantzoglou, P., Automorphisms of the generalized Fermat curves, J. Pure Appl. Algebra, 221, 2312-2337, (2017) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) affine group; representations of the fundamental group; Higgs bundles; de Rham cohomology Gómez T.L. and Presas F. (2001). Affine representations of the fundamental group. Forum Math. 13: 399--411 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 sieve with weights; group order of elliptic curves Steuding, Jörn; Weng, Annegret, On the number of prime divisors of the order of elliptic curves modulo \textit{p}, Acta arith., 117, 4, 341-352, (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) automorphism groups of affine varieties; ind-groups; Lie algebras of ind-groups; vector fields; affine \(n\)-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) sheaves of conformal blocks; Galois coverings of curves; parahoric Bruhat-Tits groups; affine Lie algebras | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 quiver; dimension vector; affine variety; linear reductive group; category of representations; Jordan decomposition; semisimple representations L. Le Bruyn and C. Procesi, Semisimple representations of quivers , Trans. Amer. Math. Soc. 317 (1990), no. 2, 585-598. 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) simply-connected affine group schemes; profinite completions; arithmetic groups of split type Weigel, Thomas, On the profinite completion of arithmetic groups of split type.Lois d'algèbres et variétés algébriques, Colmar, 1991, Travaux en Cours 50, 79-101, (1996), Hermann, Paris | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) totally non-negative Grassmannians; amalgamation of positroid varieties; M-curves; KP hierarchy; real soliton and finite-gap solutions; positroid cells; planar bicolored networks in the disk; moves and reductions; Baker-Akhiezer 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) transcendence of zeta values; 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) Weierstrass function; lattices; cubic polynomials; geometric realization of hyperelliptic curves; symmetric \(4p\)-gons; polynomials with nonzero discriminant; biholomorphism; Picard-Fuchs equation; hyperelliptic Riemann surface | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; curves; differentials; Galois module structure; deformation theory of curves with automorphisms Karanikolopoulos, S., On holomorphic polydifferentials in positive characteristic, Math. Nachr., 285, 852-877, (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) Chow group; rational equivalence class; Hilbert scheme of space curves Gotzmann, G. 1994.Der kombinatorische Teil der ersten Chowgruppe eines Hilbertschemas von Raumkurven, Schriftenreihe des Mathematischen Instituts der Universität Münster, 3. Serie 13 98Münster: Universität Münster, Mathematisches Institut. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic surfaces; positive characteristic; automorphism group schemes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Kambayashi conjecture; Nagata conjecture; Jacobian conjecture; automorphisms of polynomial ring; linearization of algebraic group action V. L. Popov, ''Automorphism groups of polynomial algebras,''Voprosy Algebry (Minsk),4, 4--16 (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) parametrization; plane algebraic curves; linear systems of curves; rational algebraic curve; affine algebraic curves; algorithm Pérez-Díaz, S.; Sendra, J. R.; Rueda, S. L.; Sendra, J., Approximate parametrization of plane algebraic curves by linear systems of curves, Computer Aided Geometric Design, 27, 2, 212-231, (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) curves over finite fields; gonality in positive characteristic; étale fundamental group; étale cohomology Cadoret, Anna; Tamagawa, Akio, Genus of abstract modular curves with level-\(\ell\) structures, J. reine angew. Math., (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) Klein surfaces with maximal symmetry; group of automorphisms; \(M^*\)- 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) torsion group on an elliptic curve with complex multiplication; fields of rationality Parish, JL, Rational torsion in complex-multiplication elliptic curves, J. Number Theory, 33, 257-265, (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) 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) mixed Hodge structure; germ of holomorphic function; Grothendieck group; convolution theorem; non-degenerate with respect to Newton boundary; tame \(l\)-adic sheaves; composite singularities | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) congruence subgroups; level one; subvarieties of general type; Hilbert modular variety; minimality property; automorphism group; modular function field; weights of automorphy factors; Hilbert modular group S. Tsuyumine, ``Multitensors of differential forms on the Hilbert modular variety and on its subvarieties'', Math. Ann.274 (1986) no. 4, p. 659-670 ##img## Creative Commons License BY-ND ISSN : 2429-7100 - e-ISSN : 2270-518X | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 algebraic groups; representations of affine algebraic groups; Jordan-Chevalley decomposition; conjugacy theorems; Borel subgroups; maximal tori; reductive groups; Lie algebras; Weyl group; root system | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; Cohomological Field Theory; Topological Field Theory; Batalin-Vilkovisky algebra; operads; Givental group action [DSV13] V. Dotsenko, S. Shadrin &aB. Vallette, &Givental group action on topological field theories and homotopy Batalin-Vilkovisky algebras­vances in Math.236 (2013), p. 224-MR 30 | &Zbl 1294. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Mumford curve; Schottky group; non-archimedean valued fields; sheaves of normed vector spaces; semi-stable vector bundle van der Put M.: Reversat M. Fibres vectoriels semi-stables sur un 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) finiteness of number of abelian subvarieties of abelian variety; group of automorphisms Lenstra H.W. Jr., Oort F., Zarhin Yu.G., Abelian subvarieties, J. Algebra, 1996, 180(2), 513--516 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; parabolic maps; Cremona 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) algebraic groups; category of rational modules; projective modules; affine group schemes; cocommutative Hopf algebras; category of modules; dual Hopf algebras; category of locally finite modules; enveloping algebras; group algebras Donkin, S, On projective modules for algebraic groups, J. Lond. Math. Soc. (2), 54, 75-88, (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) value of the zeta function of a connected non-oriented graph; representation of the fundamental group; L-function; Euler number; spanning trees K. Hashimoto, On zeta and \(L\)-functions of finite graphs, Internat. J. Math. 1 (1990), no. 4, 381--396. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) optimal curve; algebraic-geometric code; function field; automorphism group of AG-code | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; complex multiplication; construction of elliptic curves over finite fields; subgroup of large prime 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) projective linear group; degree; stabilizer; blow-up; orbit closure; PGL(3)-orbit; enumerative geometry of plane curves DOI: 10.5802/aif.1750 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) \(L\)-functions of varieties over global fields; elliptic curves; complex multiplication; polylogarithms; algebraic \(K\)-theory; Bloch-Kato conjecture; \(p\)-adic cohomology G. Kings, The Tamagawa number conjecture for CM elliptic curves , Invent. Math. 143 (2001), 571--627. \CMP1 817 645 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 simply connected simple algebraic \(\mathbb{Q}\)-groups; smooth affine group schemes of finite type; special fibres; \(\mathbb{Q}\)-groups admitting \(\mathbb{Z}\)-models; Euler-Poincaré characteristic; mass formula; adjoint representations B.H. Gross, Groups over \(\(\mathbb {Z}\)\). Invent. Math. 124(1-3), 263-279 (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) normal basis; optimal normal bases; elliptic curves over finite fields; elliptic curve cryptosystems; codes; finite fields; finite field arithmetic; factoring of polynomials; discrete logarithm problem; irreducible polynomials; survey Menezes, A. J., Blake, I. F., Gao, X., Mullin, R. C., Vanstone, S. A., \& Yaghoobian, T. (1993). Applications of finite fields. Kluwer international series in engineering and computer science. ISBN: 0-7923-9282-5. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) moduli space of curves; automorphisms; fiber type morphism; Hassett's moduli spaces Massarenti, A.; Mella, M., On the automorphisms of Hassett's moduli spaces, Trans. amer. math. soc., 369, 8879-8902, (2017) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Birch-Swinnerton-Dyer conjecture; Families of elliptic curves with large Tate-Shafarevich groups; Selmer group Kramer, K., A family of semistable elliptic curves with large Tate-Shafarevich groups, Proc. Amer. Math. Soc., 89, 379-386, (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) AK-invariant; locally nilpotent derivation; automorphism group of an algebra; automorphism group of affine hypersurface L. Makar-Limanov, On the group of automorphisms of a surface \(x^ny=P(z)\), Israel J. Math., 121 (2001), 113-123. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 division algebras; anisotropic orthogonal involutions; Springer-Satz for orthogonal involutions; quadratic forms; motives of quadrics; function fields; Brauer-Severi varieties; Witt index; Chow motives А. С. Меркурьев, А. А. Суслин, \textit{K-когомологии многообpaзий Севери-Брауэра и гомоморфизм норменного вычета}, Изв. АН СССР, cep. мат \textbf{46} (1982), no. 5, 1011-1046. Engl. transl.: A. Merkurjev, A. Suslin, \textit{K-cohomology of Severi\(-\)Brauer varieties and the norm residue homomorphism}, Math. of the USSR-Izvestiya \textbf{21} (1983), 2, 307-340. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 \(p\); tame coverings; fundamental group; graph of groups; semi-stable curves; Belyi's theorem; semi-stable Kummerian coverings Saïdi, M., Rev\hat etements modérés et groupe fondamental de graphe de groupes, Compositio Math., 107 (1997), 319-338. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) places of algebraic function fields; description of holomorphy ring of function fields; proof of Ax-Kochen-Ershov theorem; approximation theorems Kuhlmann, F. -V.; Prestel, A.: On places of algebraic function fields. J. reine angew. Math. 353, 181-195 (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) lemma of Seshadri; action of an algebraic group on an affine variety Popov, V. L.: On the ''lemma of Seshadri, Adv. soviet math. 8, 167-172 (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) Drinfeld quasi-modular forms; Hankel determinants; function fields of positive characteristic | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Mickelsson-Faddeev cocycle; existence of string structures; bundle gerbe; quantum field theory; Atiyah-Patodi-Singer index theory; bundle of fermionic Fock spaces; gauge group action; Dixmier-Douady class; fermions in external fields; APS theorem; WZW model; Riemann surfaces; global Hamiltonian anomalies A. Alan Carey, A. Mickelsson, and M. Murray, ''Bundle gerbes applied to quantum field theory,'' hep-th/9711133. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 adelic group; irreducible regular prehomogeneous vector space; Euler product; Euler factors; local zeta function; Bernstein-Sato polynomial Igusa J, On the arithmetic of a singular invariant,Am. J. Math. 110 (1988), 197--233 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) quartic Hessian surfaces; group of birational automorphisms; K3 surface; Leech lattice; Leech roots Dolgachev, [Dolgachev and Keum 02] I.; Keum, J., Birational automorphisms of quartic Hessian surfaces., \textit{Trans. Amer. Math. Soc.}, 354, 3031-3057, (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) curves over function fields; canonical height; logarithmic discriminant | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) principally polarized abelian variety; theta function; Jacobian varieties of hyperelliptic curves and non-hyperelliptic curves; module over of ring of differential operators Cho K., Nakayashiki A., Differential structure of Abelian functions, Internat. J. Math., 2008, 19(2), 145--171 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 \(p\); algebraic fundamental group of the affine line; Galois groups; Mathieu groups Shreeram S. Abhyankar, Mathieu group coverings and linear group coverings, Recent developments in the inverse Galois problem (Seattle, WA, 1993) Contemp. Math., vol. 186, Amer. Math. Soc., Providence, RI, 1995, pp. 293 -- 319. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) hypermap; automorphism groups of algebraic curves; triangular group; dessins d'enfants | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 points; q-differentials; characteristic p; finiteness of automorphism group of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Birch--Swinnerton-Dyer conjecture; elliptic curves with complex multiplication; L-series; Mordell-Weil group; L-function B. H. Gross, ''On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication,'' in Number Theory Related to Fermat's Last Theorem, Koblitz, N., Ed., Mass.: Birkhäuser, 1982, pp. 219-236. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) ray class fields; global function fields; curves with many rational points; S-class numbers Auer, Roland, Ray class fields of global function fields with many rational places, Acta Arith., 95, 97-122, (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) cuspidal class number formula; modular curves; divisors; Siegel modular functions; group of modular units T. Takagi, The cuspidal class number formula for the modular curves \(X_{1}(3^{m})\), J. Math. Soc. Japan, 47 (1995), 671-686. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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-Witt matrix; p-rank of the divisor class group of algebraic function field of one variable; Cartier-Manin matrix T. Kodama: On the rank of the Hasse-Witt matrix. Proc. Japan Acad., 60A, 165-167 (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) moduli space of curves; double ramification cycle; quantum KdV; quantum tau function; Hurwitz numbers | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 with automorphisms; moduli space; mapping class group; Teichmüller space; Hurwitz monodromy vector; homological invariant; genus stabilization Catanese, F.; Lönne, M.; Perroni, F., Genus stabilization for the components of moduli spaces of curves with symmetries, Algebr. Geom., 3, 1, 23-49, (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) imperfect fields; inseparable extensions; function fields; reductive groups; absolutely simple groups; unipotent radicals; Weil restriction; Cartan subgroups; conjugacy theorems; Bruhat decompositions; linear algebraic groups; smooth connected affine groups Conrad, B., Gabber, O., Prasad, G.: Pseudo-reductive groups, new mathematical monographs: \textbf{17}, Cambridge Univ.~Press, Cambridge, pp. 533 +xix (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) curves; covers; automorphisms; Galois groups; characteristic \(p\); lifting; Oort conjecture; simple group; almost simple; normal complement | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Deligne-Mumford stacks; Moduli of hyperelliptic curves; Picard 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) group scheme of automorphisms; characteristic polynomial William C. Waterhouse, Automorphism group schemes of basic matrix invariants, Trans. Amer. Math. Soc. 347 (1995), no. 10, 3859 -- 3872. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) arrangements of hyperplanes; braid monodromy; curves with ordinary singularities; arrangement of real lines; fundamental group of the complement M. Salvetti,Arrangements of lines and monodromy of plane curves, Comp. Math.,68 (1988), pp. 103--122. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; function fields; characteristic p; curves; abelian 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) Diophant; affine algebraic curves; addition of abelian integrals; rational points on curves of third order И. Ц. Гохберг, А. А. Семенцул, Об обращении конечных теплицевых матриц и их континуальных аналогов,Мамем. исследования, Кишинев,7 (2) (1972), 201--223. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; bilinear complexity; finite field extension; complexity of bilinear multiplication; Chudnovsky algorithm; existence; optimal multiplication algorithm Shokrollahi, M. A.: Optimal algorithms for multiplication in certain finite fields using elliptic curves. Research Report, Universität Bonn; submitted for publication | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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 finite Chevalley groups; cohomology stability; connected split reductive group scheme; change of fields; algebra retract; elementary abelian \(\ell \)-subgroups; cohomology algebras; integral cohomology; cohomological restriction map Friedlander, E.: Multiplicative stability for the cohomology of finite Chevalley groups. Comment. Math. Helv.63, 108--113 (1988). Erratum: Comment. Math. Helv.64, 348 (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) Kronecker's limit formula; zeta-function of an order; Chowla-Selberg formula; elliptic curves Kaneko, M, A generalization of the chowla-Selberg formula and the zeta functions of quadratic orders, Proc. Jpn. Acad. Ser. A Math. Sci., 66, 201-203, (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) hyperelliptic Klein surface; group of automorphisms; HSK | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) exceptional polynomials; inverse Galois problem; Carlitz's conjecture; general exceptional covers; nonsingular projective algebraic curves; Schur covers; monodromy pair; modular curves over finite fields; fiber products; curves of high genus M. D. Fried, \textit{Global construction of general exceptional covers}, in Finite Fields: Theory, Applications, and Algorithms, Contemp. Math. 168, G. L. Mullen and P. J. Shiue, eds., AMS, Providence, RI, 1994, pp. 69--100. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) towers of function fields; rational points; finite fields; hypergeometric functions; Deuring's polynomial Hasegawa, On asymptotically optimal towers over quadratic fields related to Gauss hypergeometric functions, Int. J. Number Theory 6 pp 989-- (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) \(p\)-adic analogues of the Birch and Swinnerton-Dyer conjecture; Weil elliptic curves; extended Mordell-Weil group; \(p\)-adic height; \(p\)-adic multiplicative period Barry Mazur, John Tate & Jeremy Teitelbaum, ``On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer'', Invent. Math.84 (1986) no. 1, p. 1-48 | 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) maximum number of rational points; genus-4 curves; small finite fields Howe, Everett W., New bounds on the maximum number of points on genus-4 curves over small finite fields, (Aubry, Y.; Ritzenthaler, C.; Zykin, A., Arithmetic, geometry, cryptography and coding theory, Contemp. math., vol. 574, (2012), American Mathematical Society Providence, RI), 69-86 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) generic matrices; stable rationality; fields of invariants; group algebras; lattices Beneish, E.: Induction Theorems on the center of the ring of generic matrices. Trans. Am. Math. Soc. 350(9), 3571--3585 (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) \(\ell\)-adic cohomology; independence of \(\ell \); grothendieck's trace formula; Lefschetz trace formula; zeta functions over finite fields; Euler-poincaré characteristic; Betti number; bloch's conductor conjecture; intersection cohomology; grothendieck's six operations; intermediate extension; Weil conjectures; Hodge polygon; Newton polygon; crystalline cohomology; Hodge filtration; coniveau filtration; alteration; Fano variety; rationally connected; Weil group; swan conductor; wild ramification; Brauer trace; log scheme; logarithmic differential forms; Čebotarev's density theorem; semisimple group; fatou's Lemma Illusie, L.: Miscellany on traces in \(\mathcall \)-adic cohomology: a survey. Japan J. Math. \textbf{1}(1), 107-136 (2006). Erratum: Japan J. Math. \textbf{2}(2), 313-314 (2007) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) irrational involutions; automorphisms of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) SDP-Hopf algebra; Lie algebra; smooth formal group (law); co(ntra)variant bialgebra; sequence of divided powers; primitive element; pure primitive; curve; symmetric function; quasisymmetric function; noncommutative symmetric function; composition; Lyndon composition | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) relative homology groups of the Fermat curves; adelic beta function; hyperadelic gamma function Anderson, G. W.: The hyperadelic gamma function: A précis. Adv. stud. Pure math. 12, 1-19 (1987) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) elliptic curves; group of points; effective addition law | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The 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; non-split Cartan 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) quaternion algebra; Brauer group; pseudoglobal field; function field of genus zero; Hasse principle | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) local fields; irreducible algebraic varieties; rationality problem for group varieties; semisimple algebraic groups; almost simple algebraic groups; number fields; global function fields; Tits indices | 0 |
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