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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) actions; absolute Galois group; fundamental groups of algebraic curves; Grothendieck-Teichmüller group; Galois action; uniformization; Tate elliptic curves; fundamental groups of moduli spaces Nakamura, H, Limits of Galois representations in fundamental groups along maximal degeneration of marked curves, I, Am. J. Math., 121, 315-358, (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) hyperelliptic curve; automorphism group; genus 3; dihedral invariant; moduli space Gutierrez J., Sevilla D. and Shaska T. (2005). Hyperelliptic curves of genus 3 and their automorphisms. Lect. Notes Comput. 13: 109--123 | 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 real variety; orbifold fundamental group; \(K(\pi; \; 1)\)-complex manifolds; hyperelliptic surface; Blanchard-Calabi threefolds; moduli spaces of surfaces; Beauville surface F. Catanese, ``Deformation types of real and complex manifolds'' in Contemporary Trends in Algebraic Geometry and Algebraic Topology (Tianjin, China, 2000) , Nankai Tracts Math. 5 , World Sci., River Edge, N.J., 2002, 195-238. | 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 plane algebraic curves; Newton polygon; toric variety; Petrovsky inequalities; Arnol'd inequalities; real toric 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) real algebraic curves; theta characteristics; convex algebraic 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) automorphism groups of complex curves; classification of Riemann surfaces of genus 5; computer calculations Kuribayashi, A.; Murase, N.: Some applications of the existence theorem and the representability theorem of a Riemann surface. Bull. fac. Sci. engrg. Chuo univ. 27, 1-53 (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) symmetric genus; Riemann surface; Riemann-Hurwitz equation; NEC group; signature M. D. E. Conder and T. W. Tucker, The symmetric genus spectrum of finite groups, Ars Math. Contemp.4 (2011), 271--289,https://amc-journal.eu/index.php/amc/ article/view/127. | 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 group; point group; completely real-closed field | 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; local fields; number fields; canonical height; height constant; Mordell-Weil group Stoll M., On the height constant for curves of genus two. II, Acta Arith. 104 (2002), 165-182. | 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 curves; Nottingham group; cohomology of groups; Harbater-Katz-Gabber curves; algebraic covers | 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 \(p\); formal schemes; Galois cover of algebraic curve; Abhyankar's conjecture; fundamental group of affine curves David Harbater, ``Abhyankar's conjecture on Galois groups over curves'', Invent. Math.117 (1994) no. 1, p. 1-25 | 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) elliptic curves; vector bundles on curves; real algebraic varieties | 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 model; affine surface; rational fibration; birational diffeomorphism; affine complexification Dubouloz, A; Mangolte, F, Real frontiers of fake planes, Eur. J. Math., 2, 140-168, (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) elliptic surface; Hopf surface; Kodaira 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) parametric surfaces; algebraic surface; algebraic curves; geometric modelling system Bajaj, C.: Geometric modeling with algebraic surfaces. The mathematics of surfaces III (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) Grothendieck group of skew-symmetric spaces; Witt group; zero-cycles; rational equivalence; real affine surface Ojanguren, M; Parimala, R; Sridharan, R, Symplectic bundles over affine surfaces, Comment. Math. Helv., 61, 491-500, (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) Hilbert space; analytic free fields; integer spin; \(\mathbb{Z}_ n\)-asymmetric algebraic curves of genus \(g\); two-dimensional fields DOI: 10.1063/1.531027 | 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 curves of genus g; Picard group Enrico Arbarello and Maurizio Cornalba. The {P}icard groups of the moduli spaces of curves. {\em Topology}, 26(2):153--171, 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) line bundle on algebraic curve; Wahl map; genus; hyperplane section of a \(K3\) surface Ciliberto, C. , Harris, J. , Miranda, R. : '' On the surjectivity of the Wahl map '', Duke Math. J. 57 (1988) 829-858. | 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) subgroup of automorphism group; characteristic p; minimal surface of general type E. Ballico, ''On the automorphisms of surfaces of general type in positive characteristic,'' Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., vol. 4, iss. 2, pp. 121-129, 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) moduli space of curves; gonality; real curves; Brill-Noether theory; real algebraic curves; real Riemann surfaces Ballico, E, Codimension 1 subvarieties of \(M_g\) and real gonality of real curves, Czechoslov. Math. J., 53, 917-924, (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) real algebraic surfaces; orbifold fundamental group; hyperelliptic surfaces; real algebraic varieties Catanese F. and Frediani P. (2003). Real hyperelliptic surfaces and the orbifold fundamental group. J. Inst. Math. Jussieu 2: 169--233 | 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) loxodromic automorphism; abelian surface; real 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) automorphism group; Danielewski surface; isotropy group; locally nilpotent derivation | 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 space associated to the semisimple real algebraic group; torsionfree arithmetic subgroup; locally symmetric space; Hilbert modular variety; (2n)-dimensional real hyperbolic space; \(L_ 2\)-cohomology; middle intersection homology; neighborhood of a boundary point; warped product S. Zucker : L2-cohomology and intersection homology of locally symmetric varieties . Proc. Symposia Pure Math. 40, Part 2 (1983) 675-680. Providence: AMS. | 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 of genus 3; transformation group of order 168; polyhedral realization; Euclidean 3-space; icosahedron; quintic equation Schulte, E., Wills, J.M.: A polyhedral realization of Felix Klein's map \(\{3,7\}_8\) on a Riemann surface of genus \(3\). J. Lond. Math. Soc. (2) \textbf{32}(3), 539-547 (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) plumbing of circle bundles over compact surfaces; 3-manifolds; classification of graph manifolds; boundaries of regular neighbourhoods of isolated singularities of complex surfaces; fundamental group of the singularity link; lens spaces; torus bundles over circles; Seifert manifold; Inoue surface; link of families of curves Neumann W., A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves, Trans. Amer. Math. Soc. 268 (1981), 299-344. | 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 group of Macbeath curve; algebraic curves associated with subgroups of finite index in the; modular group; non-congruence subgroups; covering of the projective line; Hurwitz group; algebraic curves associated with subgroups of finite index in the modular group Klaus Wohlfahrt, Macbeath's Curve and the Modular Group, Glasg. Math. J.27 (1985), p. 239-247 - ISSN : 2118-8572 (online) 1246-7405 (print) - Société Arithmétique de Bordeaux | 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 the complement of a plane algebraic curve; nodal algebraic curves; computer algorithm; Zariski problem | 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) relative Lie groups; algebraic curves; group of adèles; principal adèles; generalized Bäcklund transformations; Baker functions; subtori; \(\tau \) -function I. V. Cherednik, ''Group interpretation of Baker functions and ?-functions,'' Usp. Mat. Nauk,38, No. 6, 133-134 (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) algebraic geometry; curves of genus 1; cpencils | 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; transitivity; flexibility; affine cone; Cox ring; Segre-Veronese embedding; secant variety; del Pezzo 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) simply-connected smooth projective surface; algebraic curve; normal bundle; homology group Li W.-P., Qin Z.B., Zhang Q.: Curves in the Hilbert schemes of points on surfaces. Contemp. Math. 322, 89--96 (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) error-correcting code; \(C_{ab}\) curves; towers of algebraic function fields; genus Shor, Caleb McKinley, Genus calculations for towers of functions fields arising from equations of \(C_{ab}\) curves, Albanian J. Math., 5, 1, 31-40, (2011) | 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) normal coverings; hyperelliptic real algebraic curves; combinatorial methods Bujalance, E., Cirre, J., Gamboa, J. M., et al.: Symmetries of compact Riemann surfaces. In: Lecture Notes in Mathematics, No. 2007, Springer-Verlag, Berlin, 2010 | 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 Enriques surfaces; Euler characteristic; real part of a real algebraic surface Degtyarev A., Kharlamov V.: Around real Enriques surfaces. Revista Matematica de la Universidad Complutense de Madrid 10, 93--109 (1997) | 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) characterization of the complex affine plane; simply connected algebraic curves; Ramanujam surfaces; hyperbolic complex analysis; regular actions of the group \({\mathbb{C}}^*\) Zaidenberg M G, Isotrivial families of curves on affine surfaces and characterizations of the affine plane,Math. USSR. Izvestiya,30 (1988) 503--532 | 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; complex K3 surface; finite automorphism group; transcendental value; transcendental index; threefolds Machida N., Oguiso K.: On K3 surfaces admitting finite non-symplectic group actions. J. Math. Sci. Univ. Tokyo 5(2), 273--297 (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) complex multiplications; elliptic curve; Abelian varieties; algebraic period relations; diophantine approximations to numbers related to these periods; approximations to \(\pi \); hypergeometric functions; CM-varieties; modular curves; transcendence problems; monodromy group; Padé approximation; irrationality measures; linear differential equations; fast solution of matrix difference equations; factorization of large integers; parallel computation Chudnovsky, D.V., Chudnovsky, G.V.: Approximations and complex multiplication according to Ramanujan. In: Ramanujan Revisited, Urbana-Champaign, IL, 1987, pp. 375--472. Academic Press, Boston (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) algebraic curves; convolutions; convolution degree; offsets; genus; rational curves Vršek, J.; Lávička, M., On convolutions of algebraic curves, J. symb. comput., 45, 657-676, (2010) | 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) Leech lattice; \(K3\) surface; automorphism group of a \(K3\) surface; projective model of a \(K3\) surface Shimada, Ichiro, Holes of the Leech lattice and the projective models of K3 surfaces, Math. Proc. Cambridge Philos. Soc., 163, 125-143, (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) order of Brauer group; product of algebraic curves; finite ground field | 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) Chebotarev density theorem; Mordell-Weil lattices; Weyl groups; algebraic equation; Galois group; Galois extension; lines on a smooth cubic 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) Riemannian metric; generalized Wallach space; normalized Ricci flow; dynamical system; degenerate singular point of dynamical system; real algebraic surface; singular point of real algebraic 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) strong symmetric genus; automorphisms; Riemann surface; 2-group DOI: 10.1142/S0219498810004014 | 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) rationality; complex homology; 2-cells; unimodular trees of non-singular rational curves; contractible Chow-group; trivial algebraic vector bundles Gurjar, RV; Shastri, AR, On the rationality of complex homology 2-cells: I, J. Math. Soc. Japan, 41, 37-56, (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) algebroid curves on quasihomogeneous algebraic surface; Witt ring; formal power series | 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-curves; real pseudo-holomorphic curves; braid group S. Yu. Orevkov and E. Shustin,Flexible, algebraically unrealizable curves: Rehabilitation of Hilbert-Rohn-Gudkov approach, Journal für die reine und angewandte Mathematik (2002), 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 curves; real decomposable algebraic curves; patchworking | 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 algebraic curves; fundamental group; Alexander polynomial; Zariski pairs; topological type; Zariski problem Artal-Bartolo E., Carmona-Ruber J.: Zariski pairs, fundamental groups and Alexander polynomials. J. Math. Soc. Jpn. 50(3), 521--543 (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) \(K3\) surface; Niemeier lattices; automorphism group; Picard lattice; rational curve Nikulin, V. V., Kählerian K3 surfaces and niemeier lattices. II, Development of moduli theory -- Kyoto 2013, 69, 421-471, (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) logarithmic geometry; tropical geometry; Picard group; Jacobian; algebraic 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) tropical geometry; patchworking; inflection points; tropical modifications; real algebraic curves Brugallé, E. A.; López de Medrano, L. M., Inflection points of real and tropical plane curves, J. Singul., 4, 74-103, (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) pro-\(\ell\) fundamental group of an algebraic curve; automorphism group; linear Galois-representations; generalized Jacobian varieties; finite coverings | 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) phylogenetics; group-based models; maximum likelihood estimation; real algebraic geometry; numerical algebraic geometry; algebraic statistics | 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; vector bundle; parabolic vector bundle; monodromy 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 of vector bundles; algebraic curve; real algebraic geometry; Brauer group; stack | 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 projective variety; Hilbert scheme; codimension two subvariety not of general type; Néron-Severi group; algebraic homology class; arithmetic genus; geometric genus; Castelnuovo-Halphen theory DOI: 10.1142/S0129167X02001332 | 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) action of real algebraic group; real algebraic variety; real analytic variety; quotient Schwarz G.W.: Algebraic quotients of compact group actions. J. Algebra 244, 365--378 (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 curve; elliptic curve; algebraic surface; Shimura variety; arithmetic group; Picard modular group; Gauss numbers; congruence numbers; Kähler-Einstein metric; negative constant curvature; unit ball | 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-algebraic surface; complex torus; holomorphic vector bundle; Neron- Severi group; 2-dimensional complex torus; compact complex surface; topological vector bundle Toma, M.: Une classe de fibrés vectoriels holomorphes sur LES 2-tores complexes. C. R. Acad. sci. Paris 311, 257-258 (1990) | 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) positive polynomials; real algebraic curves; real algebraic surfaces; patchworking | 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 over a finite field; group of automorphisms; rational group ring; zeta-functions of the quotient curves DOI: 10.4153/CMB-1990-046-x | 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) generic position; topology of real algebraic curves Kahoui, M, Topology of real algebraic space curves, J. Symb. Comput., 43, 235-258, (2008) | 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) group of biregular automorphisms; complex K3 surfaces; nodal curves on a K3-like surface; anticanonical basic surface B. Harbourne, ``Automorphisms of K\(3\)-like rational surfaces'' in Algebraic Geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) , Proc. Symp. Pure Math. 46 , Part 2, Amer. Math. Soc., Providence, 1987, 17-28. | 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) entire holomorphic curves in surfaces; algebraic degeneracy; Bloch conjecture; irregularity; surface of general type; no nonconstant entire curve; Kobayashi hyperbolic Grant, C. G., Entire holomorphic curves in surfaces.Duke Math. J., 53 (1986), 345--358. | 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) p-rank of a curve; order of automorphism group of a curve; coverings of curves; p-Sylow subgroup; ramification group; Hurwitz inequality Nakajima, S., \textit{p}-ranks and automorphism groups of algebraic curves, Trans. Amer. Math. Soc., 303, 595-607, (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) Riemann surface; holomorphic mapping; anticonformal involution; real curve; conformal automorphism | 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) absolute Galois group; outer automorphism group of the pro-\(\ell\) fundamental group of the punctured projective line; Elliptic curves; modular curves Ihara, Y.: Some problems on three point ramifications and associated large Galois representations. In: Ihara, Y. (ed.) Galois representations and Arithmetic Algebraic Geometry. (Adv. Stud. Pure Math., vol. 12, pp. 173--188) Tokyo: Kinokuniya 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) \(K3\) surface; Picard lattice; automorphism group; rational curve; degeneration; integer symmetric bilinear form --------, Classification of Picard lattices of K3 surfaces, arXiv:1707.05677. | 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 real algebraic set; finite group action Ozan, Y.: Quotients of real algebraic sets via finite groups. Turkish J. Math. 21, 493-499 (1997) | 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; non-singular cubic surface Manin, Yu.I.: Rational surfaces over perfect fields. II. Mat. Sb. (N.S.) \textbf{72(114)}, 161-192 (1967) | 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; finite field; maximal curves; genus Garcia, A.; Güneri C, .; Stichtenoth, H., A generalization of the giulietti-korchm áros maximal curve, \textit{Adv Geom.}, 10, 3, 427-434, (2010) | 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; uniqueness; non-symplectic automorphism; Picard 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) algebraic biregular automorphism group of four-dimensional affine space D. I. Panyushev, Semisimple automorphism groups of four-dimensional affine space,Math. USSR Izv. 23 (1984), 171--183. | 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 curves; algebraic curves; group schemes; modular functions; \(L\)-functions; theta functions; Fermat's last theorem; conjecture of Birch and Swinnerton-Dyer; Shimura-Taniyama-Weil conjecture; Calabi-Yau varieties; string theory; cryptography; Hopf algebroids; elliptic cohomology Husemöller, D.: Elliptic Curves. Graduate Texts in Mathematics, 2nd edn. Springer, Berlin (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) Algebraic curves; genus; adjoint curve; moduli | 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 bound; heights of integer points; algebraic curves; Mordell-Weil group Hirata-Kohno, N. : Les points entiers sur une courbe algébrique ayant la jacobienne simple preprint . | 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 groups; complexifications; maximal tori; solvable linear groups; group actions Azad, H.; Biswas, I., A note on real algebraic groups, Forum math., 28, 539-543, (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) abelian varieties; algebraic curves; arithmetic Fuchsian groups; Hecke operators; automorphic forms; zeta-functions; automorphic functions; elliptic curves; complex multiplication; cohomology group; congruence relations; modular correspondences Goro Shimura. \(Introduction to the arithmetic theory of automorphic functions\), volume 11 of \(Publications of the Mathematical Society of Japan\). Princeton University Press, 1994{
}Published by the CNRS - UMR 6620 | 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) compact bordered Klein surface; maximal symmetry; topological type; species of genus; \(M^*\)-group; full covering; fully wound covering; \(M^*\)-simple 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) number of automorphisms; algebraic 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) Brauer groups; moduli of elliptic curves; Brauer group of algebraic stacks | 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) enumerative geometry; number of real plane curves; \(M\)-curves; Picard group; \((M-1)\)-curves; real space curves; enumeration 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) fields of real algebraic functions; reduced Whitehead group; Hasse principle; norm mapping | 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 with prescribed singularities; orientable 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) Teichmüller spaces; moduli spaces of real algebraic curves Seppälä, M.: Moduli of real algebraic curves. London math. Soc. lecture note ser. 287, 133-153 (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; quadrature domain; Schwarzian reflection; canonical foliation Joel Langer and David Singer, Foci and foliations of real algebraic curves, Milan J. Math., 75 (2007), 225--271. | 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; sphere packing; algebraic equations; inverse Galois problem; group of rational points on an elliptic curve; Kodaira- Néron model; height pairing; Néron-Severi group; rational elliptic surface; Weyl groups as Galois groups : Theory of Mordell-Weil lattices, Proc. ICM Kyoto 1990, vol. I, (1991) 473--489 | 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; algebraic torus; del Pezzo surface; conic bundle J-P. Serre, \textit{A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field}, Moscow Math. J. \textbf{9} (2009), no. 1, 183-198. | 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 geometry; knot theory; rigid isotopy; flexible 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) triangular automorphism; algebraic group; automorphism group Bodnarchuk, Yu.V.: On automorphisms of block-triangular polynomial translation groups. J. pure appl. Algebra 137, 103-123 (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) codes on curves; Goppa codes; hermitean curve; generator matrix; automorphism group; stabilizer Tiersma, H. J.: Remarks on codes from Hermitian curves. IEEE Trans. Inform. Theory33, 605--609 (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) order of automorphism group; K3 surface S. Kondo, The maximum order of finite groups of automorphisms of \(K3\) surfaces, Amer. J. Mathematics 121 (1999), 1245-1252. | 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) immersions of the circle into surface; immersion invariants; complexification of a real curve; complex orientation of a real algebraic curve O. Viro, Generic immersions of the circle to surfaces and the complex topology of real algebraic curves, \textit{Topology of Real Algebraic Varieties and Related Topics}, 231-252, \textit{Amer. Math. Soc. Transl. Ser. 2}, 173, \textit{Adv. Math. Sci.}, 29 (Amer. Math. Soc., Providence, RI, 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) Cantor's algorithm; Jacobian group; hyperelliptic curves; genus 4; binary field; projective coordinates; public key encryption | 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 of algebraic surface; Brauer group of function field; characteristic p | 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 model; affine surface; rational fibration; birational diffeomorphism; affine complexification, Kodaira dimension | 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; Hilbert's 16th problem; smoothing of singularities; isotopy classification; real loci of non-singular algebraic curves of degeee 8 | 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 curve; complex projective curve; genus; intersection multiplicity; Riemann surface Kendig, K.: A Guide to Plane Algebraic Curves, Volume 46 of the Dolciani Mathematical Expositions. Mathematical Association of America, Washington, DC (2011). (MAA Guides, 7) | 0 |
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