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automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Hurwitz inequality; coverings of curves; bounds for order of abelian subgroups of automorphism group of algebraic curve; characteristic p S. Nakajima,On abelian automorphism groups of algebraic curves, Journal of the London Mathematical Society (2)36 (1987), 23--32. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curves of genus 4; moduli space; reflection group; K3 surface Shigeyuki Kondō, The moduli space of curves of genus 4 and Deligne-Mostow's complex reflection groups, Algebraic geometry 2000, Azumino (Hotaka), Adv. Stud. Pure Math., vol. 36, Math. Soc. Japan, Tokyo, 2002, pp. 383 -- 400. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) sigma functions; compact Riemann surface of genus; canonical form for algebraic curves introduced by Miura; \((n; s)-\)curves; telescopic curves T. Ayano, Sigma functions for telescopic curves, \textit{Osaka J. Math. }51 (2014), 459--480. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; hyperelliptic; Riemann surface E. Bujalance, F. J. Cirre, J. M. Gamboa, Double coverings of hyperelliptic real algebraic curves, submitted. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real Riemann surface; real algebraic curve; automorphism; anticonformal automorphism Cortázar, I; Costa, AF, Real dihedral \(p\)-gonal Riemann surfaces, Mosc. Math. J., 13, 631-647, (2013) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) pseudo-real Riemann surface; field of moduli; field of definition; plane curve; automorphism group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic surface; Galois cohomology; Picard group; Brauer group; real cycle map; Harnack-Thom inequality; Betti number; complexification V. A. Krasnov, ''Analogs of the Harnack-Thom inequality for a real algebraic surface,''Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.] (to appear). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) genus bounds for the maximal size of an automorphism group of a compact Riemann surface of genus \(g\geq 2\) S. Corry, Genus bounds for harmonic group actions on finite graphs, \textit{Int. Math. Res. Not.} no. 19 (2011) 4515-4533. MR 2838048 (2012i:05056) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real genus; Klein surface; NEC group; group of automorphisms B. Mockiewicz, Real genus \(12\) , Rocky Mountain J. Math. 34 (2004), 1391-1398. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group; Riemann surface; Klein surface; symmetric genus; symmetric crosscap number Conder, Marston D. E., Large group actions on surfaces.Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces, Contemp. Math. 629, 77-97, (2014), Amer. Math. Soc., Providence, RI | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Iwasawa theory of totally real number fields; covering of algebraic curves over a finite field; Drinfel'd modules; Picard group; L-series David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; function field; automorphism group Danisman, Y.; Özdemir, M., On subfields of GK and generalized GK function fields, \textit{J. Korean Math. Soc.}, 52, 2, 225-237, (2015) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real fibered surface; quotient by complex conjugation; connected sum decomposition; four-manifold; topology of real algebraic curves on algebraic surfaces | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group of curve; product of projective curves; Betti numbers; diagonal quotient surface; desingularizations; Chern numbers; Enriques-Kodaira classification Kani E., Schanz W. (1997). Diagonal quotient surfaces. Manuscripta Math. 93(1):67--108 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curve of genus 3; characteristic 2; automorphism group Tufféry, S.: LES automorphismes des courbes de genre 3 de caractéristique 2, C. R. Acad. sci. Paris sér. I math. 321, No. 2, 205-210 (1995) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Pierre de Fermat; René Descartes; Leonhard Euler; affine space; barycenter; real affine space; Pasch's theorem; Euclidean space; metric space; Gram-Schmidt process; approximation by the law of least squares; Fourier approximation; Hermitian space; projective space; duality principle; Fano's theorem; projective quadric; Pascal's theorem; Brianchon's theorem; topology of projective real spaces; algebraic plane curves; Bezout's theorem; Hessian curve; Cramer's paradox; group of a cubic; rational algebraic plane curve; Taylor's formula for polynomials in one or more variables; Eisenstein's criterion; Euler's formula; fundamental theorem of algebra; Sylvester's theorem | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Teichmüller space; Schottky space; totally degenerate curves; algebraic curve; Riemann surface; fundamental group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) complex algebraic curves; compact Riemann surfaces; group actions; automorphism groups; integration theory; divisors; Riemann-Roch theorem; Abel's theorem; line bundles R. Miranda, \textit{Algebraic Curves and Riemann Surfaces}, Graduate Studies in Mathematics, Vol. 5, American Mathematical Society, 1995. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic surface; automorphism group; quotient Trepalin, A., Quotients of conic bundles, Transform. Groups, 21, 1, 275-295, (2016) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) open algebraic surface; degree; finite order; automorphism group of complement of plane algebraic curve -, Projective plane curves and the automorphism groups of their complements (to appear). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group of complex algebraic surface I. Dolgachev, Infinite Coxeter groups and automorphisms of algebraic surfaces, The Lefschetz centennial conference, Part I (Mexico City, 1984) Contemp. Math., vol. 58, Amer. Math. Soc., Providence, RI, 1986, pp. 91 -- 106. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic surface; elliptic curve; Jordan group; automorphism group Zarhin, Y. G., Jordan groups and elliptic ruled surfaces, Transf. Groups, 20, 557-572, (2015) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Riemann surface; Klein surface; Real form; Automorphism group Bujalance, E., Cirre F. J. and Turbek, P.: Riemann surfaces with real forms which have maximal cyclic symmetry. J. Algebra 283 (2005), no. 2, 447-456. | 1 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic sets; compact surface; first homology group; not generated by algebraic cycles Wojciech Kucharz, On homology of real algebraic sets, Invent. Math. 82 (1985), no. 1, 19 -- 25. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Brauer group; Lefschetz number; restriction homomorphism; Gysin homomorphism; real algebraic surface V. A. Krasnov, ''On the Brauer group of a real algebraic surface,''Mat. Zametki [Math. Notes],60, No. 6, 935--938 (1996). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) equivariant cohomology; real algebraic variety; étale cohomology; Witt group of a real Enriques surface V. A. Krasnov, ''Étale and equivariant cohomology of a real algebraic variety,'',Izv. Ross. Akad. Nauk Ser. Mat., [Russian Acad. Sci. Izv. Math.] (to appear)''. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Galois theory; Galois group; full automorphism group; Galois extension; inverse Galois problem; separably generated extension; solvable group; algebraic function field; rational function field; ramified; perfect field; genus; place; Castelnuovo-Severi inequality | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Reye congruences; automorphism group; Dynkin diagram; nonsingular rational curves on a generic nodal Enriques surface Cossec F.R., Dolgachev I.V.: On automorphisms of nodal Enriques surfaces. Bull. AMS 12(2), 247--249 (1985) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphisms of algebraic curves; order of the automorphism group A. Seyama , A characterization of reducible abelian varieties , to appear. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curve; Jacobian; Mordell-Weil group; real hyperelliptic curves | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic sets; compact surface; first homology group not generated by algebraic cycles Kucharz W.: On homology of real algebraic sets. Invent. Math. 82, 19--26 (1985) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) fibration of genus 2; automorphism group of a surface; surface of general type | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) affine algebraic surface; automorphism group; action; open orbit | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curves in algebraic surfaces; Chern numbers; low genus; Miyaoka-Yau inequality; surface of general type DOI: 10.4310/MRL.1995.v2.n6.a1 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Klein surface; Riemann surface; moduli space of real algebraic curves Seppälä, Mika , On moduli of real curves . In Jean-Jacques Risler, editor, Seminaire sur la Geometrie Algebrique Reelle , pages 85-95, Publications Mathématiques de l'Université Paris VII, Paris VII, 1986. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Brauer group; real algebraic surface; complexification; Picard group; equivariant étale cohomology; real cycle map | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) hypermap; automorphism groups of algebraic curves; triangular group; dessins d'enfants | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curve; real structure; Riemann surface; Fuchsian group Bujalance, E., Gromadzki, G., Izquierdo, M.: On real forms of a complex algebraic curve. J. Aust. Math. Soc. 70, 134--142 (2001) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) reduction theory; finite generation of automorphism group; finite number of orbits; algebraic K3 surface; Néron-Severi group Sterk, H., Finiteness results for algebraic \textit{K}3 surfaces, Math. Z., 189, 4, 507-513, (1985) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 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 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; Weierstrass semigroup; automorphism group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curve of genus 2; neutral real component; Jacobian; group law; quartic curve; 2- and 3-torsion points Fichou, G.: Loi de groupe sur la composante neutre de la jacobienne d'une courbe réelle de genre 2 ayant beaucoup de composantes réelles. Manuscripta math. 104, 459-466 (2001) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic K3 surface; automorphism group of the Picard lattice Shigeyuki Kondō, Algebraic \?3 surfaces with finite automorphism groups, Nagoya Math. J. 116 (1989), 1 -- 15. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism groups of real algebraic curves; Klein surfaces E. Bujalance, J.J. Etayo and J.M. Gamboa, Automorphism groups of real algebraic curves of genus \(3\) , Proc. Japan Acad. 62 (1986), 40-42. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; arithmetic Fuchsian groups; commensurators; Galois invariants; group completions; Riemann surface solenoids | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) coverings of curves; projective curve; automorphism group; linear fractional transformation; algebraic function field; finite Galois extension; Galois group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) class group; cubic number field; del Pezzo surface; genus 4 curves; rank bounds | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) symmetric genus; Riemann surface; automorphism; 2-group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) genus \(\neq 1\); hyperelliptic involution; group of automorphisms of a curve; elliptic curves; isogenies; many rational points; algebraic curve; families of curves | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) \(M^*\)-groups; bordered Klein surfaces; NEC groups; Riemann surfaces; Hurwitz groups; automorphism groups; real algebraic curves; regular maps E. Bujalance, F.J. Cirre and P. Turbek. GroupsactingonborderedKleinsurfaces with maximal symmetry. Proceedings of Groups St. Andrews 2001 in Oxford. Vol. I, 50--58, London Math. Soc. Lecture Note Ser., 304, Cambridge, U.K. Cambridge University Press (2003). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic surface; radical parametrization; algorithm; Fermat surfaces; high multiplicity singularity; irreducible surfaces; irreducible singular surfaces; pencil of low-genus curves; geometric constructions; offset; conchoids Sendra, JR; Sevilla, D, First steps towards radical parametrization of algebraic surfaces, Comput. Aided Geom. Des., 30, 374-388, (2013) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real ruled surfaces; space of smooth real algebraic curves; Hirzebruch surface; homotheties Jean-Yves Welschinger, Courbes algébriques réelles et courbes flexibles sur les surfaces réglées de base \Bbb C\roman\Bbb P\textonesuperior , Proc. London Math. Soc. (3) 85 (2002), no. 2, 367 -- 392 (French). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) polarization; characteristic p; Jacobian variety; supersingular elliptic curves; prescribed automorphism group; curves of genus two; Hasse-Witt- matrix; class numbers of quaternionic algebras T.IBUKIYAMA, T.KATSURA, and F.OORT,\textit{Supersingular curves of genus two and class numbers}, Compositio Math. 57 (1986), no. 2, 127--152.MR827350 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) non-complete real algebraic surface; Brauer group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) moduli spaces of real algebraic curves; real analytic Teichmüller manifold; real quotient singularities; real analytic manifolds; proper discontinuous group action; semianalytic varieties Huisman, Real quotient singularities and nonsingular real algebraic curves in the boundary of the moduli space, Compos. Math. 118 pp 42-- (1999) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group of Riemann surface; Fuchsian group; odd-order group; genus | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) conformal group; conformal automorphism; complex projective space; algebraic surface; algebraic curve | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) moduli space of smooth affine curves; curves with one place at infinity; genus; quotient space; automorphism group; rational variety Oka, M.: Moduli space of smooth affine curves of a given genus with one place at infinity. Prog. math. 162, 409-434 (1998) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) toric surface; algebraic curve; automorphism group I. Arzhantsev and M. Zaidenberg, Acyclic curves and group actions on affine toric surfaces, in: Affine Algebraic Geometry (Osaka, 2011), K. Masuda, et al. (eds.), World Sci., 2013, 1--41. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) rational surface; automorphism group; real structure; real form | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism groups; Klein surfaces; N. E. C. groups; real algebraic curve of genus two | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) elliptic fiber bundles over algebraic curve; analytic automorphism group; genus; complex structure | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Real algebraic curve; Brill-Noether theory; Gonality; Stable vector bundle; Stable vector bundles on curves; Rules surfaces; Hirzebruch surface Ballico, Real algebraic curves and real spanned bundles, Ric. Mat. 50 pp 223-- (2001) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; Jacobians; Prym variety; Arf functions; Schottky groups; spinors; holomorphic differentials; theta functions; supercurves; classification; moduli problems; uniformization theorem for Riemann surfaces; Fuchsian group Natanzon, S. M., Moduli of real algebraic curves and their superanalogues. {S}pinors and {J}acobians of real curves, Rossiĭskaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk, 54, 3-60, (1999) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) curves of genus 2; finite field; twists; automorphism group Cardona, G., On the number of curves of genus 2 over a finite field, Finite Fields Appl., 2003, 9: 505--526. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic hypersurfaces; automorphism group; algebraic domains; Cartan-Chern-Moser theory; strongly pseudoconvex domain; Betti numbers X. Huang and S. Ji, Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 6, 1793 -- 1831 (English, with English and French summaries). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) characteristic \(p\); algebraic curve of genus 3; automorphism group; Riemann Hurwitz formula | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) link signatures; Casson-Gordon invariants; slice genus; real algebraic curves Florens, V., Signatures of colored links with application to real algebraic curves, J. Knot Theory Ramifications, 14, 883-918, (2005) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) open algebraic surface; degree; finite order; automorphism group of complement of plane algebraic curve | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) smooth structures on elliptic surfaces with finite fundamental group; topological classification of four-manifolds with special fundamental groups; geometric genus; blow-ups; intersection form; signature; Euler characteristic; Kirby-Siebenmann invariant; fundamental class; manifolds with finite cyclic fundamental groups; algebraic surface with nontrivial finite cyclic fundamental group; distinct smooth structures Hambleton I., Kreck M.: Cancellation, Elliptic Surfaces and the Topology of Certain Four-Manifolds. J. Reine Angew. Math. 444, 79--100 (1993) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) representation of group as automorphism group of algebraic function field; genus; inequality of Castelnuovo-Severi Joseph G. D'Mello and Manohar L. Madan, Algebraic function fields with solvable automorphism group in characteristic \?, Comm. Algebra 11 (1983), no. 11, 1187 -- 1236. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) nonsingular real algebraic curve; complexification; complex orientations; dividing curves on an arbitrary nonsingular real projective algebraic surface Zvonilov, V.I.: Complex topological invariants of real algebraic curves on surfaces (in Russian). Dissertation, Leningrad 1983 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) automorphism group; real form; real algebraic curve Bujalance, E.; Cirré, F. J.; Gamboa, J. M.; Gromadzki, G., Symmetry types of hyperelliptic Riemann surfaces, Mém. Soc. Math. Fr. (N.S.), 86, (2001), vi+122 pp | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic curves; automorphism groups; genus; positive characteristic | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Galois theory of algebraic numbers; hypermaps; Riemann surface; Belyi function; dessins d'enfants; Galois group; congruence subgroups; modular group; elliptic curves Jones, G. A.; Singerman, D., Belyǐ functions, hypermaps and Galois groups, Bull. Lond. Math. Soc., 28, 561-590, (1996) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Weierstrass point; automorphism group; Hurwitz curve; gap sequences; singular curves; algebraic geometric codes | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) sums of squares; real affine algebraic curves; real hyperelliptic curves; Picard group J. Huisman, L. Mahé, Geometrical aspects of the level of curves, J. Alg., Preprint, 2001. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) complex algebraic variety; Albanese map; Fano surface; real M-threefold; Grassmann manifold; holomorphic form; Lie group; cohomology group; spectral sequence | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) topological types of p-hyperelliptic real algebraic curves; existence of p-hyperelliptic real algebraic curves; genus Bujalance, E.; Etayo, J. J. and Gamboa, J. M., 1987). Topological types of p-hyperelliptic real algebraic curves. Math. Z., 194, 2, 275--283. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) genus 2; explicit equations; Selmer group; two-covering; Jacobian; Kummer surface Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald: Two-coverings of Jacobians of curves of genus 2. Proc. lond. Math. soc. (3) 104, No. 2, 387-429 (2012) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; combinatorial patchworking; Ragsdale conjecture; number of ovals Itenberg, I.: On the number of even ovals of a nonsingular curve of even degree in \({\mathbb{R}}P^2\) . In: Topology, Ergodic Theory, Real Algebraic Geometry. Amer. Math. Soc. Transl. Ser. 2, vol. 202, pp. 121--129. Amer. Math. Soc., Providence (2001) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) computation of homology; real algebraic surface Fortuna, E., Gianni, P., Parenti, P., Traverso, C.: Algorithms to compute the topology of orientable real algebraic surfaces. J. Symbolic Comput. 36(3--4), 343--364 (2003) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Lie group; adjoint variety; degeneration; Grassmannian; Calabi-Yau threefold; \(K3\) surface of genus 10 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; number of connected components | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) quotient of complex surface under the action of automorphism group; Enriques surfaces Mukai, [Mukai and Namikawa 84] S.; Namikawa, Y., Automorphisms of Enriques surfaces which act trivially on the cohomology groups., \textit{Invent. Math.}, 77, 383-397, (1984) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) higher genus curves; visualisation; Brauer-Manin obstruction; Shafarevich-Tate group A. Arnth-Jensen , E.V. Flynn , Supplement to: Non-trivial \(\Sha\) in the Jacobian of an infinite family of curves of genus 2 . Available at: http://people.maths.ox.ac.uk/flynn/genus2/af/artlong.pdf [2] N. Bruin , E.V. Flynn , Exhibiting Sha[2] on Hyperelliptic Jacobians . J. Number Theory 118 ( 2006 ), 266 - 291 . MR 2225283 | Zbl 1118.14035 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic curves; Kadomtsev-Petviashvili equations; Schottky's problem; symmetric Riemann surfaces | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) families; algebraic moduli; theta functions; Schottky problem; special curves and curves of low genus | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) equivariant homology; weight filtration; real algebraic varieties; group action; additive invariants F. Priziac, Equivariant weight filtration for real algebraic varieties with action, J. Math. Soc. Japan (to appear). | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real algebraic variety; reductive group; positive polynomial functions; quotient variety; Borel measure; moment problems J. Cimpric, S. Kuhlmann, and C. Scheiderer, \textit{Sums of squares and moment problems in equivariant situations}, Trans. Amer. Math. Soc., 361 (2009), pp. 735--765. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) fundamental group; ovals; K3 surfaces; monodromy groups of smooth real plane curves of degree 6 I. Itenberg, Groups of monodromy of non-singular curves of degree 6, Real Analytic and Algebraic Geometry, Proceedings, Trento (Italy) 1992, Walter de Gruyter, (1995), 161--168. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) étale \(p\)-covers; torsionless fundamental group; group acting on scheme; \(p\)-ranks of smooth projective curves; characteristic \(p\); Euler-Poincaré characteristic; singular Enriques surface Crew, Richard M., Etale \(p\)-covers in characteristic \(p\), Compositio Math., 52, 1, 31-45, (1984) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) number of non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) holomorphic maps; dominating maps; classification; holomorphically dominable algebraic surfaces; \(K3\) surface; Kodaira dimension; fundamental group G. Buzzard, S. Lu, Algebraic Surfaces Holomorphically Dominable by \(\(\mathbb{C}^2\)\). Invent. Math. 139, 617-659 (2000). arXiv:math/0005232 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) algebraic fundamental group; hyperbolic affine curves; anabelian geometry | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) \(K3\) surface; automorphism; Mathieu group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009 | 0 |
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