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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) Hilbert 16th problem; topological types of real smooth algebraic surfaces of degree 4; period map of a K3 surface RISLER (J.-J.) . - Types topologique des surfaces algébriques réelles de degré 4 dans RP3 . Géométrie des surfaces K3. Modules et périodes, Astérisque, n^\circ 126, Paris, 1985 . MR 785232 | Zbl 0556.14005 | 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) classification of the algebraic space curves; degree; genus; stable reflexive sheaves Hartshorne, R.: Algebraic geometry. Springer, New York (1987) | 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) minimal surface; Euclidean space; Gauss map; holomorphic curve; line bundle; Gaussian image; Enneper's surface; Henneberg's surface; Platonic symmetries; algebraic curves DOI: 10.2748/tmj/1178224720 | 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) cycle index; cohomology; moduli space; real genus \(0\) curves Rains, Eric M., The action of \(S_n\) on the cohomology of \(\overline M_{0,n}(\mathbb{R})\), Selecta Math. (N.S.), 15, 1, 171-188, (2009) | 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 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 |
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) 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 |
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) Jacobian; genus four curves; universal family; Mordell-Weil group; Franchetta's conjecture | 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) 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 |
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 Cremona group; automorphism; infinite-dimensional algebraic group; primitive Lie subalgebra | 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; Grothendieck group; Witt group J. Bochnak and W. Kucharz, \?-theory of real algebraic surfaces and threefolds, Math. Proc. Cambridge Philos. Soc. 106 (1989), no. 3, 471 -- 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) transcendental curves in \(\mathbb R^n\), rational points; real-algebraic sets Georges Comte & Chris Miller, ``Points of bounded height on oscillatory sets'', to appear in \(Q. J. Math.\), , 2017 | 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) log del Pezzo surface; Cremona group; birational automorphism Belousov, G, Log del Pezzo surfaces with simple automorphism groups, Proc. Edinb. Math. Soc., 58, 33-52, (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) Nullstellensatz; free algebra; rational identity; division ring; skew field; spherical isometry; non commutative unitary group; positivstellensatz; real algebraic geometry; free analysis Klep, I.; Vinnikov, V.; Volčič, J., Null- and positivstellensätze for rationally resolvable ideals | 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; surface of general type; group Jones, G.A.: Automorphism groups of Beauville surfaces. J. Group Theory \textbf{16}(3), 353-381. 10.1515/jgt-2012-0049 | 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 group; Borcherds' method; chamber decomposition; Vinberg-Conway theory; Torelli theorem Shimada, I., An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces, Int. Math. Res. Not. IMRN, 22, 11961-12014, (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) algebraic curves; algebraic functions; complexity; finite fields; genus; Puiseux series A. Poteaux and M. Rybowicz, Improving Complexity Bounds for the Computation of Puiseux Series over Finite Fields, Proceedings of ISSAC'15 (2015), 299-306. | 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) ruled surface; real algebraic surface Lawson Jr. H.B., Michelsohn, M.-L.: Spin geometry. de Princeton Mathematical Series, vol. 38. Princeton University Press, Princeton (1989) | 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 of a Klein surface; period matrix; group of automorphisms Riera, J. London Math. Soc. 51 pp 442-- (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) complexification; complex genus real algebraic surfaces; algebraic homology; entire rational maps Ozan, Y.: On entire rational maps of real surfaces, J. Korean Math. Soc. 39 (2002), 77-89. | 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) Beauville surface; strongly real surface; Beauville 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) first-order theory; quantifier elimination; torsion points; categoricity; \(L_{\omega_1,\omega}\)-theory; universal covers; semi-abelian varieties over algebraically closed fields; complex numbers; algebraic group; Galois automorphism Zilber, B.: Model theory, geometry and arithmetic of the cover of a semi-abelian variety. In: Model Theory and Applications, Proceedings of the Conference in Ravello, 2000. Received 13 May 2014\bullet First revised received 15 July 2014 \bullet Second revised received 5 January 2015\bullet Accepted 16 March 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 algebraic curves; toric surfaces; real rational ruled surfaces; dessins d'enfants Bertrand, B., Brugallé, E.: A Viro theorem without convexity hypothesis for trigonal curves. International Mathematics Research Notices. Article ID 87604, 33 pp (2006). doi:10.1155/IMRN/2006/87604 | 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) 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 |
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; 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 |
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 with a compatible real algebraic structure; locally Nash group; algebraic addition theorem; semialgebraic groups Madden J., Stanton C.: One-dimensional Nash groups. Pac. J. Math. 154(2), 331--344 (1992) | 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; odd order group actions; compact Lie group Suh, DY, Quotients of real algebraic G varieties and algebraic realization problems, Osaka J. Math., 33, 399-410, (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) narrow Mordell-Weil lattice; group of rational points on an elliptic curve; Weyl groups as Galois groups; sphere packing; algebraic equations; inverse Galois problem; Kodaira-Néron model; height pairing; Néron- Severi group; rational elliptic surface | 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 plane algebraic curve; nodal curves; Petrovskii inequality; floppy curves; flexible curve; Arnold 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) finite automorphism groups of compact topological surfaces; Riemann surfaces; Klein surfaces; real forms of a given complex algebraic curve; connected components of the fixed point sets of reflections; antiholomorphic automorphisms; complexified real (M-1)-curves Natanzon, S. M.: Finite groups of homeomorphisms of surfaces, and real forms of complex algebraic curves. (Russian). Trudy Moskov. Mat. Obshch. 51 (1988), 3-53, 258. Translation in Trans. Moscow Math. Soc. (1989), 1-51. | 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) order of Abelian automorphism group of projective surface Jin-Xing Cai, On abelian automorphism groups of fibred surfaces of small genus, Math. Proc. Cambridge Philos. Soc. 130 (2001), no. 1, 161 -- 174. | 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 of irreducible curve; representation for curves of higher genus; Galois action; monodromy action | 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 compact nonsingular algebraic surface; finite fundamental group; blowing-ups DOI: 10.1007/BF01233422 | 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; Nash morphism; sectional genus; finite morphism; étale morphism | 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; 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 |
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) Hilbert's sixteenth problem; real algebraic curves; isotopy of algebraic hypersurface | 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; elliptic-hyperelliptic involution; real algebraic curve; moduli space José A. Bujalance, Antonio F. Costa, and Ana M. Porto, On the connectedness of the locus of real elliptic-hyperelliptic Riemann surfaces, Internat. J. Math. 20 (2009), no. 8, 1069 -- 1080. | 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) Beauville group; Beauville surface; symmetric Riemann surface; strongly real Beauville surface; group actions | 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) Cremona group; real algebraic geometry; birational geometry S. Zimmermann: The abelianisation of the real Cremona group, Duke Math. J. 167 (2018), 211--267. | 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 surfaces; algebraic curves; monodromy; foundamental group Frauendiener J, Klein C and Shramchenko V 2011 Efficient computation of the branching structure of an algebraic curve \textit{Comput. Methods Funct. Theory}11 527--46 | 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 variety of genus two; algebraic cycles; special endomorphisms; intersection multiplicities of the cycles at isolated points; special values of derivatives of certain Eisenstein series; metaplectic group Kudla, S. S.; Rapoport, M., Cycles on Siegel threefolds and derivatives of Eisenstein series, Ann. Sci. Éc. Norm. Supér. (4), 33, 695-756, (2000) | 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; automorphism group; covering; homology group; length spectra; dessins d'enfants Jones, G. A.: Characters and surfaces. London math. Soc. lecture note ser. 249, 90-118 (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) real algebraic plane curve; Hilbert 16th problem; singularities of plane curve; constructing curves of a given degree; prescribed arrangement; perturbing singular curves with controlled variation of the topology; Ragdale's conjecture Brugallé, E.: Tropical curves, notes from introductary lectures given in July 2013 at Max Planck Institute for Mathematics, Bonn. http://erwan.brugalle.perso.math.cnrs.fr/articles/TropicalBonn/TropicalCurves | 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) Ragsdale conjecture; topology of real algebraic curves I. Itenberg and O. Viro, ''Patchworking Algebraic Curves Disproves the Ragsdale Conjecture,'' Math. Intell. 18(4), 19--28 (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) moduli spaces of real algebraic curves; super Riemann surfaces; super-Fuchsian groups; real algebraic super curves; meromorphic functions of algebraic curves S. M. Natanzon, \textit{Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs} (Transl. Math. Monogr., Vol. 225), Amer. Math. Soc., Providence, R. I. (2004). | 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; Witt group; real irrational ruled surface; Albanese map; equivariant cohomology | 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 geometry; dynamical systems; topological entropy; algebraic curves; 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) elliptic surface; 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) classification of real affine cubic curves; group of homeomorphisms D.A. Weinberg, The topological classification of cubic curves , Rocky Mountain J. Math. 18 (1988), 665-679. | 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) Hilbert's 16th problem; numerical quintic surface; real complex surface; first Betti number; real Horikawa curves; Viro's method Bihan, F, Une quintique numérique réelle dont le premier nombre de Betti est maximal, C. R. Acad. Sci. Paris Sér. I Math., 329, 135-140, (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) immersion of the real projective plane into \({\mathbb{R}}^ 3\); algebraic surface; degree; Boy's surface; Steiner's Roman surface; parametrization of Boy's surface; regular homotopy classes Apéry, F.: La surface de boy. Adv. in math. 61 (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) semifree action; algebraic realization; compact Lie group; orthogonal representation; real algebraic \(G\) variety; smooth \(G\) manifold; algebraically realized; equivariant diffeomorphism; \(G\)-vector bundles; product of a group of odd order and a 2-torus; equivariant map; equivariantly homotopic; equivariant bordism class Dovermann, K.H., Wasserman, A.G.: \textit{Algebraic Realization for Cyclic Group Actions with One Isotropy Type}, preprint (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) algebraic function fields of genus one; real-closed field; J-invariant | 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 real plane algebraic curves; degree Kharlamov, V.; Orevkov, S. Yu.: Asymptotic growth of the number of classes of real plane algebraic curves when the degree increases, J. math. Sci. 113, 666-674 (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) K3-surfaces; integral symmetric bilinear form; involution; system of invariants; genus; isomorphism classes; real nonsingular projective algebraic variety; new invariants of real algebraic surfaces; relations; standard invariants; Euler characteristic Nikulin V.V. (1984). Involutions of integral quadratic formsand their applications to real algebraic geometry. Math. USSR Izv. 22: 99--172 | 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) dianalytic automorphisms; non-orientable surfaces; compact Klein surface; algebraic genus Bujalance, E., Etayo, J., Gamboa, J., Martens, G.: Minimal genus of Klein surfaces admitting an automorphism of a given order. Arch. Math.52, 191--202 (1989) | 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) prescribed fundamental group; compact complex surfaces of general type; fundamental group of a real surface Belyĭ, G.V.: On Galois extensions of a maximal cyclotomic field, Izv. Akad. Nauk SSSR Ser. Mat. \textbf{43}(2), 269-276 (1979) [Translation in Math. USSR- Izv. \textbf{14}, 247-256 (1980)] | 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) cubic surface; moduli space; curves of genus three; odd theta- 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) dessin d'enfant; algebraic curve; Riemann surface; Belyi function; bipartite map; bipartite graph; Fuchsian group; triangle group; Galois group; quasiplatonic surface; regular map; regular dessin; Wilson operation; abc problem; Beauville surface Jones, G.A., Wolfart, J.: Dessins d'Enfants on Riemann Surfaces. Springer Monographs in Mathematics. Springer, Cham (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) cubic surface; Severi-Brauer surface; 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) symposium; proceedings; Kyoto (Japan); deformation of group schemes; Number theory; finite group schemes; Kummer-Artin-Schreier-Witt theory; Galois module structure; algebraic curves; Hopf algebra | 0 |
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; quartic del Pezzo surface; configuration of lines Hosoh T.: Automorphism groups of quartic del Pezzo surfaces. J. Algebra 185(2), 374--389 (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) computational number theory; computational algebraic geometry; divisor arithmetic; \(C_{3,4}\) curves; genus 3 nonhyperelliptic 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 curve; covering 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) Riemann surface; algebraic curves Clemens, H.C.; ; A Scrapbook of Complex Curve Theory: Providence, RI, USA 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; minimal closure; Jordan group T. Bandman, Yu. G. Zarhin, \textit{Jordan groups and algebraic surfaces}, Transformation Groups, to appear, arXiv:1404.1581. | 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) Picard group; quadratic intersection form on the Néron-Severi-group of a compact complex non-algebraic surface; algebraic dimension; 2-vector bundles Brînzânescu, V., Flondor, P.: Quadratic intersection form and -vector bundles on nonalgebraic surfaces, Proc. Conf. on Alg. Geometry, Berlin 1985, Teubner: Band 92, 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) algebraic space curves; bound for the arithmetic genus of curves Pecker, D.: Sur le genre arithmétique des courbes rationnelles. Ann. inst. Fourier 46, No. 2, 293-306 (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) fields of large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (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) line bundles; real algebraic varieties; Picard group; homotopy classes; abelian variety; connectedness; period matrix J. Bochnak, W. Kucharz and R. Silhol, Morphisms, line bundles and moduli spaces in real algebraic geometry, Publ. Math. Inst. Hautes Études Sci. 86 (1997), 5-65. | 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) intersection number of two divisors; normal surface; bivariant intersection theory; Chow group; rational equivalence; algebraic equivalence S. Kimura, Fractional intersection and bivariant theory, Comm. Algebra 20 (1992), no. 1, 285-302. | 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 of \(\deg ree\quad 7\); classification | 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; homotopy classes of regular rational maps | 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) construction of real algebraic varieties; M-curves O. Ya. Viro, ''Gluing algebraic hypersurfaces, removing singularities, and construction of curves,'' in: Proc. Leningrad Int.Conf., Leningrad (1983), pp. 149--197. | 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) isomorphism classes of simple n-dimensional representation of a finitely generated group; tangents to formal curves; algebraic set; tangent cones to representation varieties DOI: 10.1007/BF02783301 | 0 |
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 algebraic function fields; realization of group as Galois group; Galois theory Henning Stichtenoth, Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper, Math. Z. 187 (1984), no. 2, 221 -- 225 (German). | 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 stack; classification of curves; 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) algebraic curves; binary forms; genus 3; higher-order Weierstrass points; invariants Shaska, Tony; Shor, Caleb M., 2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions, Comm. Algebra, 45, 5, 1879-1892, (2017) | 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) inverse Galois theory; algebraic fundamental group; plane curves; factorization of polynomials; resolution of plane curve singularities; hyperelliptic function fields; construction of Galois extensions; finite group; Galois group; PSL(2,8); unramified covering; affine line Shreeram S. Abhyankar, Square-root parametrization of plane curves, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 19 -- 84. | 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) connected projective curve; irreducibility of \(n\)-pointed genus 0 stable maps; linear algebraic group; coarse moduli space; quotient singularities J. Thomsen : Irreducibility of \(\overline{M}_{0,n}(G/P,\beta)\), Internat. J. Math. 9, no. 3 (1998), 367-376. | 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; birational automorphisms; number of fixed points | 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; dimensions of the cohomology spaces; Hodge decomposition Silhol, R.: Real algebraic surfaces. Lecture notes in mathematics 1392 (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) rational parameterization; real algebraic surface; algorithm for parameterization Schicho, J.: Rational parametrization of real algebraic surfaces. ISSAC '98: Proc. 1998 Int. Symp. Symbolic and Algebraic Computation, pp. 302--308. ACM Press 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) real algebraic surface; Betti number; Viro method; real numerically quintic surfaces Bihan, F.: Betti numbers of real numerical quintic surfaces. Topology, ergodic theory, real algebraic geometry. Rokhlin's memorial 202, 31-38 (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) cohomology of algebraic curves; smooth irreducible curve; indecomposable \(F_ i[\Gamma ]\)-modules; moduli space; complex elliptic curves; decomposition formula; genus; number of cusps Chad Schoen, On certain modular representations in the cohomology of algebraic curves, J. Algebra 135 (1990), no. 1, 1 -- 18. | 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; algebraic curves; Hurwitz space | 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) Hermitian matrices; covariants; unitary group; subdiscriminants; real algebraic varieties; eigenvalues; minimal generating system Domokos, M, \textit{Hermitian matrices with a bounded number of eigenvalues}, Linear Algebra Appl., 439, 3964-3979, (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) elliptic genus; formal group laws associated to supersingular elliptic curves; Jacobi quartics; Legendre polynomials; elliptic curves of Weierstrass forms; discriminant Landweber, P.S.: Supersingular Elliptic Curves and Congruences for Legendre Polynomials. In: Landweber, P.S. (ed.) Elliptic Curves and Modular Forms in Topology. Proceedings, Princeton 1986. (Lect. Notes Math., vol. 1326, pp. 69--93) Berlin Heidelberg New York: Springer 1988 | 0 |
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) arithmetic on curves of genus one; Tate-Shafarevich group; Selmer group; Weil-Chatelet group Cassels, J. W. S., Arithmetic on curves of genus 1. III. the Tate-šafarevič and Selmer groups, Proc. London Math. Soc. (3), 12, 259-296, (1962) | 0 |
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) semisimple complex algebraic group; parabolic subgroups; twisted holomorphic differential operators; real analytic line bundle; sheaf of distribution sections; spherical representations; semisimple symmetric spaces | 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) Jacobians; Shafarevich-Tate group; class groups; isogenies; Kummer surfaces; genus 2 curves Bruin, Nils; Flynn, E. Victor; Testa, Damiano, Descent via \((3,3)\)-isogeny on Jacobians of genus 2 curves, Acta Arith., 165, 3, 201-223, (2014) | 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; algebraic fundamental groups; finite simple group; wreath product; Galois group; unramified covering of the affine line; group enlargements; enlargements; tame fundamental groups of curves Abhyankar, S. S.: Group enlargements. CR acad. Sci. Paris 312, 763-768 (1991) | 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; \(p\)-rank Giulietti, M.; Korchmáros, G., Algebraic curves with many automorphisms | 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) Hodge decomposition; automorphism group of a complex K3-surface; sporadic Mathieu group Mason, G., Symplectic automorphisms of K3-surfaces (after S. Mukai and V.V. nikulin), CWI Newslett., 13, 3, (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) algebraic surface; rational 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) alternative algebra; quadratic algebra; composition algebras; algebraic curves of genus zero; locally ringed spaces; Cayley-Dickson doubling process; Zorn's vector matrices; octonion algebras; Zorn algebras; function fields of genus zero; polynomial rings Petersson, H.: Composition algebras over algebraic curves of genus 0. Trans. Am. Math. Soc. 337, 473--491 (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) topology of real algebraic manifolds; number of ovals; complex orientations of a real curve; non-existence of curves of isotopy types; M-curve O. Ya. Viro,Real plane curves of degrees 7 and 8: new prohibitions, Mathematics of the USSR Izvestia23 (1984), 409--422. | 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 surfaces of positive index; Chern numbers; Bogomolov-Miyaoka- Yau inequality; watershed conjecture; surface of general type; linear system; fundamental group B. Moishezon and M. Teicher, ''Simply-connected algebraic surfaces of positive index,'' Invent. Math., vol. 89, iss. 3, pp. 601-643, 1987. | 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 Chow group; algebraic surface; mixed Hodge structure; deformation | 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) an automorphism of given order; cyclic coverings; irreducible closed subschemes; smooth curves of given genus E. Gómez González, Cyclic coverings of a smooth curve and branch locus of the moduli space of smooth curves, in: Complex Geometry of Curves, Contemp. Math. 240 (1999) 183--196. | 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) complement of nonsingular real algebraic curve; fundamental group; homotopic type | 0 |
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