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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) Hasse principle; genus 2; algebraic curves; Jacobian; Mordell-Weil rank Bremner, A.: Some interesting curves of genus 2 to 7. J. Number Theory 67, 277-290 (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) stable surface; Gorenstein stable surface; surfaces on the Noether line; algebraic surface; plane curves; surface of general type; KSBA- compactification; moduli space of stable surfaces; degeneration of mixed Hodge structures | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Calabi-Yau threefold; surface of general type; geometric genus zero; fundamental group Bini, G., Favale, F.F., Neves, J., Pignatelli, R.: New examples of Calabi-Yau 3-folds and genus zero surfaces. Commun. Contemp. Math. \textbf{16}(2), 1350010 (2014). 10.1142/S0219199713500107 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) representations of knot groups in SO(3) and SU(2); real plane algebraic curves; singularities; Dehn surgery along a two-bridge knot Burde, G., \(S U(2)\)-representation spaces for two-bridge knot groups, Math. Ann., 288, 103-119, (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) group action; stack; algebraic stack; quotient stack; moduli space of curves Matthieu Romagny, ''Group actions on stacks and applications'', Mich. Math. J.53 (2005) no. 1, p. 209-236 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) representations of a dicrete group in \(SL_ 2({\mathbb{C}})\); actions on generalized trees; hyperbolic structures on surfaces; varieties of group representations; compactification of Teichmüller space; compactifications of real and complex algebraic varieties; affine algebraic set; valuations of the coordinate ring J. Morgan, P. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I, \textit{Ann. of Math. } 120 (1984), 401--476. | 0 |
automorphism group; genus 2 surface; real algebraic 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) \(M\)-surface; two-sheeted covering; real algebraic surface; Euler 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) rational points; transcendental points; arithmetically generic point; height; analytic Riemann surface; algebraic variety; arithmetic polarization; algebraic foliation by curves; Liouville inequality; Nevanlinna theory; arithmetic geometry; Arakelov theory | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) complete intersection; space curves; linkage; algebraic hypersurface; 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) braid monodromy factorizations; branch curves; fundamental group; invariant of a surface Mina Teicher, New invariants for surfaces, Tel Aviv Topology Conference: Rothenberg Festschrift (1998), Contemp. Math., vol. 231, Amer. Math. Soc., Providence, RI, 1999, pp. 271 -- 281. | 0 |
automorphism group; genus 2 surface; real algebraic 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\({}^ *\)-group; automorphism group of a bordered surface with maximal symmetry; bordered Klein surface; fully wound covering --------, A family of \(M^*\)-groups , Canad. J. Math. 38 (1986), 1094-1109. | 0 |
automorphism group; genus 2 surface; real algebraic 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; real algebraic geometry; hyperbolic geometry; arithmetic groups; Coxeter groups; uniformization Allcock, D; Carlson, JA; Toledo, D, Hyperbolic geometry and moduli of real cubic surfaces, Ann. Sci. Éc. Norm. Supér., 43, 69-115, (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) real enumerative algebraic geometry; tropical geometry; real linear series; real inflection points; real 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) simple Jordan algebra; formally real; reduced trace; invariant polynomials; 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) projective variety; algebraic group; affine cones; del Pezzo surface Kishimoto, T.; Prokhorov, Yu.; Zaidenberg, M., \textit{group actions on affine cones}, Affine algebraic geometry, 123-163, (2011), American Mathematical Society, 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) projective K3 surface; Mumford-Tate group; Néron-Severi group; intersection multiplicity; Tate conjecture for algebraic cycles Tankeev, S. G., Surfaces of type \(K3\) over number fields, and \(l\)-adic representations, Math. USSR-Izv., 0373-2436, 52 33, 3, 575-595, (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) cubic threefold; Fano surface; tangent bundle theorem; automorphism group Roulleau X.: The Fano surface of the Klein cubic threefold, J. Math. Kyoto Univ. 49, 113--129 (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) Lorentzian Kac-Moody algebras; mirror symmetry; automorphism group; \(K3\) surface; Picard lattice; finiteness; reflective hyperbolic lattices V. V. Nikulin, \(K3\) surfaces with interesting groups of automorphisms, J. Math. Sci. (New York) 95 (1999), no. 1, 2028-2048. Algebraic geometry, 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) Riemann surface; fundamental group; automorphism group; harmonic morphism; branched covering Mednykh, A.; Mednykh, I., No article title, Discrete Math., 338, 1793-1800, (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) Picard group; real surface; Witt group G. Ayoub, M. Ojanguren, The Witt group of a real surface, in: M.F. Atiyah et al. (Eds.), Vector Bundles over Algebraic Varieties, Bombay 1984; Oxford University Press, Bombay, 1987, pp. 445--463. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) monodromy group; numerical algebraic geometry; real algebraic geometry; real monodromy structure; homotopy continuation; parameter homotopy; kinematics | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) vector bundles; algebraic curves; Jacobians; theta functions; Prym varieties; Kummer varieties; Verlinde formula; moduli space; 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) Jordan group; bounded group; Lie group; algebraic group; automorphism group of complex space; isometry group of Riemannian manifolds | 0 |
automorphism group; genus 2 surface; real algebraic 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 geometry; polynomial automorphism; tame automorphism; tame subgroup; Derksen group; finite 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) real algebraic curves; Riemann surfaces; Kleinian groups | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Higgs bundles; moduli space; real Lie groups; surface group representations Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B., Higgs bundles for the non-compact dual of the special orthogonal group, Geom. Dedicata, 0046-5755, 175, 1-48, (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) moduli space of hyperelliptic curves of arbitrary genus; moduli spaces for hyperelliptic curves with group 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) compact Riemann surface; algebraic curves; Fuchsian groups; uniformization; Galois coverings; Belyi theorem; Belyi function; Belyi pair; definability over \(\mathbb{Q}\) Girondo, E.; González-Diez, G., Introduction to compact Riemann surfaces and dessins D'enfants, London Mathematical Society Student Texts, vol. 79, (2012), Cambridge University Press Cambridge | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) differential Horace lemma; prescribed singularities; Picard group; cohomology groups of line bundles; plane curves; geometric genus Mignon, T., Courbes lisses sur les surfaces rationnelles génériques: Un lemme d'Horace différentiel, Ann. Inst. Fourier (Grenoble), 50, 6, 1709-1744, (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) chiral Potts model; Jacobian; automorphism group of 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) arithmetic surface; Arakelov theory; discriminant; pairing on curves; intersection number of horizontal divisors; Green's functions; divisor group Harbater, D.: Arithmetic discriminants and horizontal intersections. Mathematische annalen 291, 705-724 (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) \(M\)-curves; \(T\)-curves; Ragsdale conjecture; topological types of real plane algebraic curves; oval; topology of real algebraic varieties --. --. --. --., ``Counter-examples to Ragsdale conjecture and \(T\)-curves'' in Real Algebraic Geometry and Topology (East Lansing, Mich., 1993), Contemp. Math. 182 , Amer. Math. Soc., Providence, 1995, 55--72. | 0 |
automorphism group; genus 2 surface; real algebraic 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 a Riemann surface; cyclic trigonal Riemann surface Bujalance, E., Cirre, F.J., Gromadzki, G.: Groups of automorphisms of cyclic trigonal Riemann surfaces. J. Algebra \textbf{319} (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) textbook; number theory; elliptic curves; arithmetic algebraic geometry; diophantine geometry; computational number theory; cryptography; group cohomology J.H. Silverman, \textit{The arithmetic of elliptic curves}, Graduate Texts in Mathematics \textbf{106}, Springer, Dordrecht, Netherlands (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) semialgebraic quotient object; real representation; real algebraic group; relative Galois cohomology sets | 0 |
automorphism group; genus 2 surface; real algebraic 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 automorphism group; Eichler trace formula; Riemann-Hurwitz relation; compact Riemann surface [Kur]I. Kuribayashi, On an algebraization of the Riemann-Hurwitz relation, Kodai Math. J. 7 (1984), 222--237. | 0 |
automorphism group; genus 2 surface; real algebraic 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; topological space; real algebraic varieties Wasserman, A. G.: Extending algebraic action. Revista Mathematica computense 12, No. 2, 463-474 (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) number of components of real surface; real plane algebraic curve; real quintic surface; Ragsdale conjecture Itenberg, I., Kharlamov, V.: Towards the maximal number of components of a nonsingular surface of degree \(5\) in \(\mathbf{R}{\mathrm P}^3\). In: Topology of Real Algebraic Varieties and Related Topics, Volume 173 of American Mathematical Society Translation Series 2, pp. 111-118. American Mathematical Society , Providence (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) real algebraic variety; equivariant cohomology; étale cohomology; Picard group; Brauer group; Witt group; complete intersections; \(K3\) 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) algebraic surface; Brauer group; class 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 curves; étale coverings of the affine line; fundamental group; Drinfeld modular curves Joshi, K., A family of étale coverings of the affine line, J. number theory, 59, 414-418, (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) lifting; Oort Conjecture; curves over \(p\)-adic fields; inverse Galois theory; elementary \(p\)-groups; automorphism group M. Matignon, \(p\)-groupes abéliens de type \((p,...,p)\) et disques ouverts \(p\)-adiques, Prépublication 83 (1998), Laboratoire de Mathématiques pures 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) multiplicative group; algebraic curves; height functions; finiteness result; rational points P. Habegger, A Bogomolov property for curves modulo algebraic subgroups , Bull. Soc. Math. France 137 (2009), 93--125. | 0 |
automorphism group; genus 2 surface; real algebraic 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 surface singularity; pencil genus; pencil of curves; weakly Kodaira singularity T. Tomaru, On some classes of weakly Kodaira singularities, In: Singularités Franco-Japonaises, Sémin. Congr., 10 , Soc. Math. France, 2005, pp.,323-340. | 0 |
automorphism group; genus 2 surface; real algebraic 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 homology group; Riemann surface of genus 2; Weierstrass points; mapping class group; equivariant homotopies for surface homeomorphisms; symplectic vector space J. D. McCarthy: \_{}\{\^{}\{\(Weierstrass points and Z2 homology\)\}\} , Topology and its Applications 63, pp. 173-188, (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) genus; hyperelliptic curves; strong boundedness conjecture; group of rational points; Jacobian varieties of hyperelliptic curves --, Sur certains sous-groupes de torsion de jacobiennes de courbes hyperelliptiques de genreg 1.Manuscr. Math. 92 (1) (1997), 47--63. | 0 |
automorphism group; genus 2 surface; real algebraic 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 a rational curve; nodes; 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) genus one model; elliptic curves; invariants and covariants; Selmer groups; Heisenberg group Fisher, T.A., Invariant theory for the elliptic normal quintic, I. twists of \textit{X}(5), Math. Ann., 356, 2, 589-616, (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) Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 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) action of real algebraic group; linearization problem; injectivity of complexification 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) rational points on hyperelliptic curves; automorphism group; number of rational 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) sums of squares; positive semidefinite polynomial; real algebraic curves; real algebraic surfaces; real spectrum C. Scheiderer, \textit{Sums of squares of regular functions on real algebraic varieties}, Trans. Amer. Math. Soc., 352 (1999), pp. 1039--1069. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) hypermaps; Belyi function; automorphism group of a Riemann surface; canonical curve; fixed points Streit, Manfred, Homology, Belyĭ\ functions and canonical curves, Manuscripta Math., 90, 4, 489-509, (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) algebraic curves; algebraic function fields; positive characteristic; automorphism groups | 0 |
automorphism group; genus 2 surface; real algebraic 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 curves of even degree; ovals | 0 |
automorphism group; genus 2 surface; real algebraic 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 function fields; positive characteristic; automorphism groups | 0 |
automorphism group; genus 2 surface; real algebraic 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; invariants | 0 |
automorphism group; genus 2 surface; real algebraic 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; genus; integrals; Betti numbers; Poincaré duality. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) rank of elliptic curves; torsion group; modular surface; elliptic | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) asymptotic interpolation measure; Lebesgue constants; Fekete points; equilibrium distributions; algebraic curves of genus \(0\); multivariate polynomial interpolation; Auerbach's theorem; piecewise conies; rational mapping; constructing good points for interpolation [GMS] Götz, M., Maymeskul, V. V. \& Saff, E.B., Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \$\$ \{\(\backslash\)mathbb\{R\}\^2\} \$\$ . Constr. Approx., 18 (2002), 255--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) algebraic variety; fibration; geometric genus; multiplicity of linear series on 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) group scheme; algebraically closed field; split reductive group; isogeny theorem; algebraic space; automorphism scheme Conrad, Brian, Reductive group schemes. Autour des schémas en groupes. Vol. I, Panor. Synthèses 42/43, 93-444, (2014), Soc. Math. France, Paris | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) branched covering; \(CW\)-complex; isomorphism class; cellular decomposition; fundamental group; trigonal curve; real algebraic variety; Hurwitz space; compactification | 0 |
automorphism group; genus 2 surface; real algebraic 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 geometric codes; algebraic curves over finite fields; function fields; Goppa codes; complexity of multiplication in extension fields; divisors of curves of genus 1; weight distributions; minimal weight | 0 |
automorphism group; genus 2 surface; real algebraic 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-changing algebraic curves; finite number of rational points; characteristic \(p\); function field; non-conservative algebraic curve Jeong, S.: Rational points on algebraic curves that change genus. J. number theory 67, 170-181 (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) algebraic fundamental group; hyperbolic affine curves; anabelian geometry; Grothendieck's anabelian conjecture T. Szamuely, Le théorème de Tamagawa I. In Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 185-201, Progr. Math. 187, Birkhäuser, Basel, 2000. Zbl0978.14014 MR1768101 | 0 |
automorphism group; genus 2 surface; real algebraic 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; algebraic curve; compact surface Patrick Popescu-Pampu, What is the genus?, Lecture Notes in Mathematics 2162, Springer, 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) faithfulness of the monodromy representation; elliptic curve; Galois representation; algebraic fundamental groups; genus; family of \(n\)-pointed algebraic curves M. Asada, The faithfulness of the monodromy representations associated with certain families of algebraic curves, J. Pure Appl. Algebra 159 (2001), no. 2-3, 123-147. | 0 |
automorphism group; genus 2 surface; real algebraic 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 2 and 3; curves with many rational 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) implicitization; base point; toric elimination; polynomial support; numerical examples; sparseness; eigenvalue method; moving curves; hypersurface; algorithm; computer-aided design; geometric modelling; rational parametric expressions; algebraic surface Emiris, I.Z., Kotsireas, I.S.: Implicitization exploiting sparseness. In: Janardan, R., Smid, M., Dutta, D. (eds.) Geometric \& Algorithmic Aspects of Comp.-Aided Design \& Manufacturing. DIMACS, vol. 67, pp. 281--298. DIMACS (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) real elliptic surface; algebraic cycles; representation of homology class; first Betti number; Hodge number [17] Mangolte (F.).-- Surfaces elliptiques réelles et inégalité de Ragsdale-Viro, Math. Z. 235, p. 213-226 (2000) &MR 17 | &Zbl 0961. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles E. Previato and G. Wilson, \textit{Differential operators and rank }2 \textit{bundles over elliptic} \textit{curves}. Compositio Math. 81 (1992), no. 1, 107--119. | 0 |
automorphism group; genus 2 surface; real algebraic 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 \(\mathbb{P}^ 1\); Galois groups; Hurwitz monodromy group; finite groups; Galois group of regular extension of \(\mathbb{Q}\); universal Frattini cover; rational point on varieties; regular realization problem on dihedral groups; real branch points; totally nonsplit extension; field of totally real numbers; fields of definition; inverse Galois problem; symmetric group; modular curves Dèbes, Pierre; Fried, Michael D., Nonrigid constructions in Galois theory, Pacific J. math., 163, 1, 81-122, (1994) | 0 |
automorphism group; genus 2 surface; real algebraic 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; Harnack inequality; real algebraic curves; number of ovals V. M. Kharlamov, S. Yu. Orevkov, and E. I. Shustin, Singularity which has no \?-smoothing, The Arnoldfest (Toronto, ON, 1997) Fields Inst. Commun., vol. 24, Amer. Math. Soc., Providence, RI, 1999, pp. 273 -- 309. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) circular units; Jacobian of Fermat curves; Galois representations; pro-\(\ell\) braid groups; étale covering of projective 1-space; representation in outer automorphism group of profinite fundamental; group; absolute Galois group; completed group algebra; Tate module; Jacobi sums; Galois cohomology Y. Ihara: Profinite braid groups, Galois representations and complex multiplications. Ann. of Math., 123, 43-106 (1986). JSTOR: | 0 |
automorphism group; genus 2 surface; real algebraic 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 Riemann surfaces; complex algebraic curves; number of components of the real points Bujalance, E.; Costa, A. F.; Gamboa, J. M.: Real parts of complex algebraic curves. Lecture notes in math. 1420, 81-110 (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) algebraic curves; group actions; Galois cohomology algebraic curves; group actions; Galois 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) birational characterization of real projective space; quadratic forms; Witt group; real components of algebraic varieties; unramified cohomology Sujatha, R, Witt groups of real projective surfaces, Math. Ann., 288, 89-101, (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) normal surface singularities; rational singularities; elliptic singularities; \( \mathbb{Q} \)-homology spheres; geometric genus; link of singularities; divisorial filtration; Poincaré series; Seiberg-Witten invariants of 3-manifolds; Casson invariant conjecture; Seiberg-Witten invariant conjecture; Heegaard-Floer homology; graded roots; surgery 3-manifolds; unicuspidal rational projective plane 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) history of geometry; genus; Geschlecht; connectivity; 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) compact Riemann surface; algebraic curve; simple Lie group; line bundles; Maurer-Cartan structure equations; infinitesimal Plücker formulae Yang K.: Plücker formulae for the orthogonal group. Bull. Austral. Math. Soc. 40, 447--456 (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) vector bundle; stability; algebraic curves; algebraic surface Anghel, C.: Complete sub-varieties in moduli spaces of rank-2 stable sheaves on smooth projective curves and surfaces. Rev. roumaine math. Pures appl. 48, No. 4, 353-363 (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) Hilbert's 16th problem; oval arrangements of real plane non-singular algebraic curves; Ragsdale's conjecture; Viro conjecture Ilia Itenberg, Contre-examples à la conjecture de Ragsdale, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 3, 277 -- 282 (French, 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) binary forms; ternary forms; symmetrization; Rubik cube; line bundles; vector bundles; Jordan algebra; Hermitian hypercubes; moduli space; Selmer group; Mordell Weil group; prehomogeneous vector spaces; genus one curves; coregular spaces Bhargava, M.; Ho, W., Coregular spaces and genus one curves, Cambridge J. Math., 4, 1, 1-119, (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) real algebraic curves; certified topology; AXEL Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J.: Computing the topology of three-dimensional algebraic curves. Computational methods for algebraic spline surfaces, 27-43 (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) complete intersections for real 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) limits of normals; singular point of a 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) \(K3\) surface; automorphism group; elliptic fibration | 0 |
automorphism group; genus 2 surface; real algebraic 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 surface; automorphism group; Thompson group; Markov numbers; birational transformations; boundary divisor | 0 |
automorphism group; genus 2 surface; real algebraic 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 Riemann surface; automorphism group; moduli space A. Weaver, \textit{Hyperelliptic surfaces and their moduli}, Geom. Dedicata 103 (2004), 69--87. | 0 |
automorphism group; genus 2 surface; real algebraic 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; lectures | 0 |
automorphism group; genus 2 surface; real algebraic 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 S. Yu. Orevkov, ''The fundamental group of the complement of a plane algebraic curve,''Mat. Sb. [Math. USSR-Sb.],137 (179), No. 2, 260--270 (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) curves on a surface; gauge theory; four-manifold topology; quantum field theory; moduli spaces of holomorphic vector bundles over algebraic surfaces; Donaldson invariants R. Friedman, \textit{Algebraic Surfaces and Holomorphic Vector Bundles}, Springer-Verlag, Heidelberg Germany (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) billiard; geodesic billiard flow; polynomial integral; algebraic Birkhoff conjecture; surface of constant curvature; singularities of 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) Cremona group; Jordan constant; conic bundle; del Pezzo 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) surface; algebraic group; representation variety; de Rham 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) Enriques surface; \(K3\) surface; elliptic fibration; automorphism; Brauer group K. Hulek, \textit{Enriques surfaces and Jacobian elliptic K3 surfaces}, \textit{Math. Z.}\textbf{268} (2011) 1025. | 0 |
automorphism group; genus 2 surface; real algebraic 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 group; action of an automorphism of order p; connected complete non-singular curves; tamely ramified Galois coverings; Witt vector ring Shōichi Nakajima, Action of an automorphism of order \? on cohomology groups of an algebraic curve, J. Pure Appl. Algebra 42 (1986), no. 1, 85 -- 94. | 0 |
automorphism group; genus 2 surface; real algebraic 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 \(T\)-surfaces; Viro's conjecture; first homology group Itenberg, I.: Topology of real algebraic \(T\)-surfaces. Rev. Mat. Univ. Complut. Madrid \textbf{10}(Special Issue, suppl.), 131-152 (1997). Real Algebraic and Analytic Geometry (Segovia, 1995) | 0 |
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