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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) 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) regular mappings to spheres; algebraic approximation of mappings; product of real elliptic curves; real algebraic sets Bochnak J., Kucharz W.: Elliptic curves and real algebraic morphisms. J. Algebraic Geom. 2, 635--666 (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) real algebraic surface; Euler characteristic Tibăr, M; Zaharia, A, Asymptotic behaviour of families of real curves, Manuscripta Math., 99, 383-393, (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) real algebraic curves; dividing curve; \(M\)-curve; connected components Matsuoka, S.: Nonsingular algebraic curves in ?P 1 {\(\times\)}?P 1. Trans. Am. Math. Soc. (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) quasipositivity; unitary representations; braid groups; real algebraic curves Stepan Yu. Orevkov , '' Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves '', J. Knot Theory Ramifications 10 (2001) no. 7, p. 1005-1023 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) products of conjugates of generators; algorithms; Garside normal forms; quasipositivity in braid groups; plane real algebraic curves; trigonal real pseudoholomorphic curves; rational ruled surfaces S Y Orevkov, Quasipositivity problem for \(3\)-braids, Turkish J. Math. 28 (2004) 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) tachyon scattering amplitudes; divisors with complex coefficients; moduli space of complex; algebraic curves of genus g with n given points; Belavin-Knizhnik theorem; bosonic string theory; Polyakov volume form; Weil-Deligne pairings; Arakelov measures; Quillen metrics Voronov, AA, A unified approach to string scattering amplitudes, Commun. Math. Phys., 131, 179, (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) Weierstrass points; q-differentials; characteristic p; finiteness of automorphism group 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) halving algorithm; genus 2 curves; real model; finite fields J. M. Miret, J. Pujolàs, and N. Thériault, \textit{Bisection for genus \(2\) curves with a real model}, Bull. Belg. Math. Soc. Simon Stevin, 22 (2015), pp. 589--602, . | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) endomorphism ring; real algebraic structure of complex elliptic curves as real algebraic surfaces; complex multiplication; real algebraic torus J. Huisman, The underlying real algebraic structure of complex elliptic curves. Math. Ann.294 (1992), 19-35 | 0 |
automorphism group; genus 2 surface; real algebraic 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'enfants; Belyi curve; algebraic curves; Riemann surface Hidalgo, RA, The bipartite graphs of abelian dessins d'enfants, Ars Math. Contemp., 6, 301-304, (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) arrangements of hyperplanes; braid monodromy; curves with ordinary singularities; arrangement of real lines; fundamental group of the complement M. Salvetti,Arrangements of lines and monodromy of plane curves, Comp. Math.,68 (1988), pp. 103--122. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) exceptional polynomials; inverse Galois problem; Carlitz's conjecture; general exceptional covers; nonsingular projective algebraic curves; Schur covers; monodromy pair; modular curves over finite fields; fiber products; curves of high genus M. D. Fried, \textit{Global construction of general exceptional covers}, in Finite Fields: Theory, Applications, and Algorithms, Contemp. Math. 168, G. L. Mullen and P. J. Shiue, eds., AMS, Providence, RI, 1994, pp. 69--100. | 0 |
automorphism group; genus 2 surface; real algebraic 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; wild ramification | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) closed orbit; unipotent subgroup; real algebraic 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) automorphism group; positive characteristic; Artin-Schreier 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) deformation theory; representations of finitely generated groups; algebraic group; variety; real points; lattice; semisimple Lie group; fundamental group; compact Kähler manifold; monodromy representation; polarized Hodge structure; Margulis superrigidity theorem; hyperbolic manifolds; totally geodesic hypersurfaces; flat connections J.J. Millson. Deformations of Representations of finitely Generated Groups. Contemp. Math.74, 237-253 (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) bordered Klein surface; minimum genus; real genus; \(p\)-group | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) real generic holomorphic functions; real algebraic curves; real algebraic functions; monodromy graphs; Reidemeister-Schreier method | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) blowing-up; Del Pezzo surface; real structure; Picard group; configurations of the real plane quartic curve; anticanonical map; real forms of rational elliptic surfaces without multiple fibres Wall, CTC, Real forms of smooth del Pezzo surfaces, J. Reine Angew. Math., 47, 47-66, (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) smooth rational surface; automorphism group; Picard group; antipluricanonical curve B. Harbourne, Rational surfaces with infinite automorphism group and no antipluricanonical curve, Proc. Amer. Math. Soc. 99 (1987), no. 3, 409--414. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) nonorientable surface; Klein surface; automorphism group; symmetric cross-cap number | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Albanese variety; algebraic surfaces of geometric genus one; cohomological isogeny; Hodge structures; classification; intersection pairings; integral Hodge structures; associated K3 surface Deligne, P.: Relèvement des surfaces K3 en caractéristique nulle, Lecture Notes in Math. 868, Algebraic surfaces (Orsay, 1976-78), pp. 58-79. Springer, New York (1981) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) numbers of nodal curves; numbers of curves on a K3 surface; genus 2 curves an an abelian surface; Hilbert schemes of points Göttsche, L., A conjectural generating function for numbers of curves on surfaces, Commun. Math. Phys., 196, 523-533, (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; automorphism group; integer quadratic form Nikulin, V. V., Kählerian K3 surfaces and niemeier lattices. I, Izv. Ross. Akad. Nauk Ser. Mat., 77, 5, 109-154, (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) survey; integral indefinite quadratic forms; discriminant forms; representations of one form by another; group of motions of the n- dimensional hyperbolic space; discrete subgroup; reflections; crystallographic group; surface singularities; automorphisms of algebraic K3-surfaces I. Dolgachev, \textit{Integral quadratic forms: applications to algebraic geometry (after V. Nikulin)}, \textit{Séminaire Bourbaki}\textbf{25} (1982) 251. | 0 |
automorphism group; genus 2 surface; real algebraic 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; descent theory; geometric Galois theory; Brumer's family; Humbert's modular equation; Poncelet's pentagon; algebraic correspondences Hashimoto, [Hashimoto 00] K., On Brumer's family of RM-curves of genus two, \textit{Tohoku Math. J. (2)}, 52, 4, 475-488, (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) real algebraic curves; algorithms; Gröbner bases; multi-tangents Fortuna, E.; Gianni, P.; Parenti, P.: Some constructions for real algebraic curves. Pubbl. dip. Mat. univ. Pisa, 1.285.1441 (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) rigid isotopy classification; real algebraic curves of degree 6; groups of monodromy I. Itenberg, Curves of degree 6 with one non-degenerate double point and groups of monodromy of nonsingular curves,Real Algebraic Geometry, Proceedings, Rennes 1991, Lecture Notes in Math., 1524, Springer, (1992), 267--288. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) 0-cycles; vanishing of local factors; metaplectic Eisenstein series of genus 2; derivatives; Siegel-Eisenstein series; global height pairing; algebraic cycles; Shimura curves; local height pairings; Siegel-Weil formula; nonsingular Fourier coefficients Kudla, S., \textit{central derivatives of Eisenstein series and height pairings}, Ann. of Math. (2), 146, 545-646, (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) order of automorphism group; Gorenstein surface singularity | 0 |
automorphism group; genus 2 surface; real algebraic 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; uniformly bounded p-torsion of elliptic curves; order of group of p-torsion points Manin, Ju. I., The \textit{p}-torsion of elliptic curves is uniformly bounded, Izv. Akad. Nauk SSSR Ser. Mat., 33, 459-465, (1969) | 0 |
automorphism group; genus 2 surface; real algebraic 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 rational ruled surfaces; real \(K3\) surfaces; real algebraic curves; hyperbolic lattices V.V. Nikulin, Sachiko Saito, Real K3 surfaces with non-symplectic involution and applications. II, Proc. London Math. Soc., 95 (2007), 20--48.DOI: 10.1112/plms/pdl023 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) morphisms of \(M\)-curves; non-special effective divisors; maximal real algebraic curves; linear system J. Huisman, On the geometry of algebraic curves having many real components, Rev. Mat. Complut. 14 (2001), no. 1, 83-92. | 0 |
automorphism group; genus 2 surface; real algebraic 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; weighted homogeneous normal surface singularity; central curve; integral homology Müller, G. -- Symmetries of surface singularities. In preparation. | 0 |
automorphism group; genus 2 surface; real algebraic 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; stable vector bundles on a smooth projective surface; restriction to curves Fedor A. Bogomolov, Stability of vector bundles on surfaces and curves, Einstein metrics and Yang-Mills connections (Sanda, 1990) Lecture Notes in Pure and Appl. Math., vol. 145, Dekker, New York, 1993, pp. 35 -- 49. | 0 |
automorphism group; genus 2 surface; real algebraic 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; convex hulls; elliptic curves; linear matrix inequalities; spectrahedra; Lasserre relaxation; theta bodies C. Scheiderer, \textit{Convex hulls of curves of genus one}, Adv. Math., 228 (2011), pp. 2606--2622. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Riemann surface; Klein surface; Fuchsian group; non-Euclidean crystallographic group; algebraic curve; Teichmüller 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) algebraic groups; irreducible representations; Hopf algebras; Lie algebras; unipotent algebraic groups; tensor product; semisimple group representations; varieties; dimension theory of local rings; tangent spaces; Borel subgroups; Galois cohomology; automorphism groups; weights; universal enveloping algebra Hochschild, G.P.: Basic theory of algebraic groups and Lie algebras. Graduate Texts Math. \textbf{75}, (1981) | 0 |
automorphism group; genus 2 surface; real algebraic 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; automorphism group; real forms | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) sums of squares; real algebraic curves; positive polynomials D. Plaumann, Sums of squares on reducible real curves. \textit{Math. Z}. \textbf{265} (2010), 777-797. MR2652535 Zbl 1205.14074 | 0 |
automorphism group; genus 2 surface; real algebraic 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; moduli space of curves; Galois group; Abel-Jacobi map; algebraic cycle; non-abelian Galois representation; mapping class group Hain, R.; Matsumoto, M., Galois actions on fundamental groups of curves and the cycle \(C-C^-\), J. Inst. Math. Jussieu, 4, 363-403, (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) Witt group of skew-symmetric non-singular bilinear forms; real algebraic variety of dimension 4; ring of \({\mathbb{C}}\)-valued regular functions; Chow ring; algebraic hypersurfaces | 0 |
automorphism group; genus 2 surface; real algebraic 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; Jacobian variety; Neron-Tate height function; fixed points of a nontrivial automorphism; curves of genus \(\neq 1\) | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Shimura varieties; group actions on algebraic curves; computational group 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) automorphism groups; invariant curves; plane curves; Hessian group; icosahedral group; Valentiner 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) arithmetical generic surface; canonical heights; orbits of rational points; automorphism group L. Wang, Rational points and canonical heights on K3 -surfaces in \(\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^1\), Recent developments in the inverse Galois problem (Seattle, WA, 1993), Contemp. Math., 186, pp. 273-289, Amer. Math. Soc., Providence, RI, 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) seminormal curve; arithmetic genus; algebraic fundamental group; 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) non singular affine real algebraic variety; algebraic homology; cycles; smooth manifold without boundary; unoriented differentiable bordism 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) arc; plane algebraic curve; automorphism group Kaneta H., Marcugini S., Pambianco F.: On arcs and curves with many automorphisms. Mediterr. J. Math. 2, 71--102 (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) Stiefel-Whitney class; Euler class; vector bundle; sphere bundle; submanifold; embedding; subvariety; representable homology class; affine real algebraic variety; homology group; algebraic subvarieties Teichner P.: 6-dimensional manifolds without totally algebraic homology. Proc. Am. Math. Soc. 123 2909--2914 (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) del Pezzo surface; Cox ring; torsor; algebraic group Serganova, Vera: Lectures on representation 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) compact surface of general type; order; automorphism group A. T. Huckleberry and M. Sauer, ''On the order of the automorphism group of a surface of general type,'' Math. Z., vol. 205, iss. 2, pp. 321-329, 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) pencil of elliptic curves; hyperelliptic curves; connectedness of regular surfaces of general type; fundamental group of a surface Xiao, G., \textit{\({\pi}\)_{1} of elliptic and hyperelliptic surfaces}, Internat. J. Math., 2, 599-615, (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) rigid isotopy class; real biquadric; \(GM\)-variety; cohomology group; complex projective algebraic variety; Grassmann variety; spectral sequence | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) topological type of real algebraic curves; number of connected components of the 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 curves; affine curves; projective curves; minimal polynomial; complex 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) fundamental group; braid group; algebraic surface; complement of the branch curve; braid monodromy; Van Kampen theorem; diffeomorphism classes M. Teicher, Braid groups, algebraic surfaces and fundamental groups of complements of branch curves, Algebraic geometry --- Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 127 -- 150. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) valuation rings of the coordinate ring of the real plane; Riemann surface of real algebraic set; real primes; basicness of semialgebraic subsets of the real plane De La Puente, M. J.: The compatible valuation rings of the coordinate ring of the real plane. Contemp. math. 155 (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) non-Euclidean crystallographic group; real algebraic curve; hyperelliptic unramified normal covering; hyperelliptic Klein surfaces with non-empty boundary; topological type Bujalance, E., Etayo, J. J., Gamboa, J. M.: Hyperelliptic Klein surfaces. Quart. J. Math. Oxford (2), 36, 141--157 (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) topology of real algebraic varieties; algebraic knots; real rational knots; knots; spatial 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; dividing curves; complexification Jacek Bochnak and Wojciech Kucharz, A characterization of dividing real algebraic curves, Topology 35 (1996), no. 2, 451 -- 455. | 0 |
automorphism group; genus 2 surface; real algebraic 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 stacks; integral Chow ring; hyperelliptic curves of even genus [Ed-Fu2] D. Edidin and D. Fulghesu, The integral Chow ring of the stack of hyperelliptic curves of even genus, Math. Res. Lett. 16 (2009), no. 1, 27--40. | 0 |
automorphism group; genus 2 surface; real algebraic 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; monodromy group; patchworking construction | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) families of real algebraic curves; demarcation lines | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) difference sets; dessins d'enfants; Riemann surfaces; Fuchsian groups; algebraic curves; Singer group Streit, M; Wolfart, J, Cyclic projective planes and Wada dessins, Doc. Math., 6, 39-68, (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 plane algebraic curve; congruence; Harnack inequality; ovals; M- curves Fiedler, T.: New congruences in topology of real plane algebraic curves. Dokl. Akad. Nauk SSSR270(1), 56-58 (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) divisors modulo algebraic equivalence; Picard number; complex Fermat surface; generators of the Néron-Severi group N. Aoki and T. Shioda, ``Generators of the Néron-Severi group of a Fermat surface'' in Arithmetic and Geometry, Vol. I , Progr. Math. 35 , Birkhäuser Boston, Boston, 1983, 1-12. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) birationally equivalent curves; genus; plane algebraic curve; rational points on an elliptic curve I. G. Bashmakova, E. I. Slavutin, Glimpses of algebraic geometry, \textit{Amer. Math. Monthly} 104 (1997) 62-67, http://dx.doi.org/10.2307/2974826. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) amortized bounds on algebraic numbers; real algebraic curves; exact topology computation; singular points; resultants; generalized discriminant; bit complexity; analysis of algorithms | 0 |
automorphism group; genus 2 surface; real algebraic 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; determinantal representations; spectrahedra; linear matrix inequalities | 0 |
automorphism group; genus 2 surface; real algebraic 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; branch curve; projective algebraic surface; degeneration | 0 |
automorphism group; genus 2 surface; real algebraic 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; del Pezzo surface; conic bundle; 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) Divisor; local fundamental group; knots and links at infinity; equisingularity; open algebraic surface, algebraic transformation groups; quotients | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) origami; translation surface; Veech group; Heisenberg origami; Teichmüller curves [12] Frank Herrlich, Teichmüller curves defined by characteristic origamis, The geometry of Riemann surfaces and abelian varieties, Contemp. Math. 397, Amer. Math. Soc., Providence, RI, 2006, p. 133-144 &MR~22 | &Zbl~1098. | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Liouville extension; real Picard-Vessiot theory; split solvable algebraic group Crespo, Teresa; Hajto, Zbigniew, Real Liouville extensions, Comm. Algebra, 0092-7872, 43, 5, 2089-2093, (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 group; component group; split torus; real 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) contact curves; curve on 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) algebraic curves; real algebraic geometry; projective curves; conic sections; celestial mechanics; Hilbert's 16th problem; topology of algebraic curves; Riemann surfaces | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) Hasse principle; Function field; Connected linear algebraic group; \(G\)-torsor; \(p\)-adic arithmetic surface; local Henselian surface Hu, Y., \textit{Hasse principle for simply connected groups over function fields of surfaces}, J. Ramanujan Math. Soc., 29, 155-199, (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) genus 2 curves; genus 1 curves; Hurwitz space; Humbert surface Kay Magaard, Tanush Shaska, Sergey V. Shpectorov & Helmut Völklein, ''The locus of curves with prescribed automorphism group'', RIMS Kokyuroku 1267 (2002), p. 112-141 | 0 |
automorphism group; genus 2 surface; real algebraic 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; numerical range of complex matrix Nakazato, H., Quartic curves associated to 4 by 4 matrices, Sci. Rep. Hirosaki Univ., 43, 209-221, (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) real algebraic surface; semi-algebraic set; sums of squares; preordering; positivstellensatz C. Scheiderer, Sums of squares on real algebraic surfaces. \textit{Manuscripta Math}. \textbf{119} (2006), 395-410. MR2223624 Zbl 1120.14047 | 0 |
automorphism group; genus 2 surface; real algebraic curves Cirre F.J.: Complex automorphism groups of real algebraic curves of genus 2. J. Pure Appl. Algebra 157(2--3), 157--181 (2001) étale fundamental group; Albanese variety; curves of genus 2; Grothendieck's section conjecture; anabelian geometry Harari D. and Szamuely T., Galois sections for abelianized fundamental groups, Math. Ann. 344 (2009), no. 4, 779-800. | 0 |
automorphism group; genus 2 surface; real algebraic 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 singular curves; arithmetic genus; projective algebraic curves over a finite field; Weil conjectures; estimation of character sums over finite fields Aubry Y., Perret M.: A Weil theorem for singular curves, Proceedings of Arithmetic, Geometry and Coding Theory IV, ed. Pellikaan, Perret, Vląduţ. De Gruyter, (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) stable surface; Godeaux surface; algebraic surface; surface of general type; fundamental group; moduli space of 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 curves; 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) locally nilpotent derivation; torus action; roots of an algebraic group; affine Cremona group; toric surface Kotenkova, P.: On restriction of roots of affine T-varieties. Beitr. algebra geom. 55, No. 2, 621-634 (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) Riemann surface; algebraic curve; automorphism; \(p\)-gonal 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) Modular Curves; automorphism group Dose, V.; Fernández, J.; González, J.; Schoof, R., The automorphism group of the non-split Cartan modular curve of level 11, J. Algebra, 417, 95-102, (2014), MR 3244639 | 0 |
automorphism group; genus 2 surface; real algebraic 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 coverings of curves; group of automorphisms; genus of the quotient curve; Hasse-Witt invariants Kani, E. Relations between the genera and between the Hasse-Witt invariants of Galois coverings of curves. Canad. Math. Bull.28 (3), 321--327 (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) Brauer group; period-index problem; real algebraic surfaces; u-invariant; Hodge 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) algebraic variety; rational points; \(k\)-rational curves; reductive algebraic groups; number fields; quasi-split groups; semisimple simply connected groups; norm principle; anisotropic group Philippe Gille, Un théorème de finitude arithmétique sur les groupes réductifs, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 7, 701 -- 704 (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) genus of a plane algebraic curve; intersections of surface patches; computer graphics; genus of a space curve; Puiseux series Katz S, Sederberg T. Genus of the intersection curve of two rational surface patches. CAGD, 1988, 5(3): 253--258. | 0 |
automorphism group; genus 2 surface; real algebraic 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 3 algebraic curves Aigon, A., Silhol, R.: Hyperbolic hexagons and algebraic curves in genus 3. J. Lond. Math. Soc. 66, 671--690 (2002) | 0 |
automorphism group; genus 2 surface; real algebraic 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; real algebraic curves; real algebraic surfaces; rigid isotropy; complexification; perturbing curves; singularity O. Ya. Viro, Introduction into Topology of Real Algebraic Varieties, http://www.math.uu.se/oleg/es/index.html. | 0 |
automorphism group; genus 2 surface; real algebraic 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 3; real multiplication; abelian variety | 0 |
automorphism group; genus 2 surface; real algebraic 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 surfaces; principal homogeneous spaces over elliptic curves; genus one fibrations; Tate-Shafarevich group; moduli spaces of genus one fibrations | 0 |
automorphism group; genus 2 surface; real algebraic 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 3-manifolds; real rational curves; Pin\(^-\) structure; real enumerative invariants; Gromov-Witten invariants --------, Spinor states of real rational curves in real algebraic convex \(3\)-manifolds and enumerative invariants, Duke Math. J. 127 (2005), 89--121. | 0 |
automorphism group; genus 2 surface; real algebraic 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 varieties; Coxeter group; invariant theory; chambers; mirrors | 0 |
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