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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Elementary problems in Euclidean geometries, Euclidean analytic geometry, Elementary questions in algebraic geometry, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Group actions on affine varieties, Compact Riemann surfaces and uniformization
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Plane and space curves, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Computational aspects of algebraic curves, Differential invariants (local theory), geometric objects
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves L. Weng, \(\Omega\) -admissible theory, II: Deligne pairings over moduli spaces of punctured Riemann surfaces, Math. Ann. 320 (2001), 239--283. Arithmetic varieties and schemes; Arakelov theory; heights, Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Generalizations (algebraic spaces, stacks)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Jacobians, Prym varieties, Theta functions and abelian varieties, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Daniel J. Bernstein and Tanja Lange, Analysis and optimization of elliptic-curve single-scalar multiplication, Finite fields and applications, Contemp. Math., vol. 461, Amer. Math. Soc., Providence, RI, 2008, pp. 1 -- 19. Cryptography, Finite ground fields in algebraic geometry, Computational aspects of algebraic curves, Elliptic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves San Segundo F., Sendra J.R.: Degree formulae for offset curves. J. Pure Appl. Algebra 195, 301--335 (2005) Computational aspects of algebraic curves, Rational and birational maps, Questions of classical algebraic geometry, Symbolic computation and algebraic computation
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Frauendiener, Jörg; Klein, Christian, Computational approach to compact Riemann surfaces, Nonlinearity, 30, 1, 138-172, (2017) Computational aspects of algebraic curves, Special algebraic curves and curves of low genus, Relationships between algebraic curves and integrable systems, Families, moduli of curves (algebraic)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Bhosle U.N.: Pencils of quadrics and hyperelliptic curves in characteristic two. Crelle J. 407, 75--98 (1990) Families, moduli of curves (algebraic), Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Algebraic moduli problems, moduli of vector bundles
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves F. C. Kirwan, \textit{Complex Algebraic Curves}, Cambridge University Press, Cambridge, UK, 1992. Curves in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Compact Riemann surfaces and uniformization
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Real algebraic sets, Computational aspects of algebraic curves, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Bernardi A and Carusotto I 2012 Algebraic geometry tools for the study of entanglement: an application to spin squeezed states \textit{J. Phys. A: Math. Theor.}45 105304 Quantum coherence, entanglement, quantum correlations, Coherent states, Computational aspects of algebraic curves, Polynomials, factorization in commutative rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves M. Bainbridge; M. Möller, The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3, Acta Math., 208, 1-92, (2012) Modular and Shimura varieties, Fine and coarse moduli spaces, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Singularities of surfaces or higher-dimensional varieties, Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Linear codes (general theory)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Curves in Euclidean and related spaces, Non-Euclidean differential geometry, Other special differential geometries, Discrete differential geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves, Polynomials over finite fields, Arithmetic theory of polynomial rings over finite fields, Arithmetic theory of algebraic function fields
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Global ground fields in algebraic geometry, Arithmetic ground fields for curves, General ternary and quaternary quadratic forms; forms of more than two variables, Computational aspects of algebraic curves, Jacobians, Prym varieties
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves B.Wajnryb, Orbits of Hurwitz action for coverings of a sphere with two special fibers, Indag. Math. (N. S.), 7 (no. 4) (1996), 549--558. Low-dimensional topology of special (e.g., branched) coverings, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces, Vector bundles on curves and their moduli
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Joseph Oesterlé, Dessins d'enfants, Astérisque 290 (2003), Exp. No. 907, ix, 285 -- 305 (French, with French summary). Séminaire Bourbaki. Vol. 2001/2002. Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Geil O., Munuera C., Ruano D., Torres F.: On the order bounds for one-point AG codes. Adv. Math. Commun. \textbf{5}, 489-504 (2011). Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves A. Kaul and R.T. Farouki, Computing Minkowski sums of plane curves, Internat. J. Comput. Geometry Appl. 5 (1995) 413--432. Computer graphics; computational geometry (digital and algorithmic aspects), Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Sh_UMN_2015 Sheinman, O.K. \emph Lax operator algebras and integrable systems. Russian Math. Surveys, 71:1 (2016), 109--156. Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Applications of Lie algebras and superalgebras to integrable systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Approximation by rational functions, Spline approximation, Computer-aided design (modeling of curves and surfaces), Plane and space curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves A. Wright, ''Translation surfaces and their orbit closures: an introduction for a broad audience,'' EMS Surv. Math. Sci., vol. 2, iss. 1, pp. 63-108, 2015. Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Differentials on Riemann surfaces, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Rational and ruled surfaces, Finite ground fields in algebraic geometry, Rational and birational maps, Varieties over finite and local fields
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Finite ground fields in algebraic geometry, Curves over finite and local fields, Cryptography, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Jia, Xiaohong; Goldman, Ron, Using smith normal forms and \textit{\({\mu}\)}-bases to compute all the singularities of rational planar curves, Comput. Aided Geom. Des., 29, 6, 296-314, (2012) Computer-aided design (modeling of curves and surfaces), Computational aspects of algebraic curves, Singularities of curves, local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Friedman M., Teicher M.: On non fundamental group equivalent surfaces. Algebra Geom. Topol. 8, 397--433 (2008) Coverings of curves, fundamental group, \(K3\) surfaces and Enriques surfaces, Homotopy theory and fundamental groups in algebraic geometry, Singularities of curves, local rings, Computational aspects of algebraic curves, Braid groups; Artin groups, Low-dimensional topology of special (e.g., branched) coverings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves E. M. Chirka, \textit{Riemann Surfaces} (Steklov Math. Inst., Moscow, 2006), Lekts. Kursy Nauchno-Obrazov. Tsentra \textbf{1}. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Getzler, E.: Operads and moduli spaces of genus \(0\) Riemann surfaces. In Dijkgraaf, R., Faber, C., van der Gerr, G. (eds.) The Moduli Space of Curves, volume 129 of \textit{Progress in Mathematics}, pp. 199-230. Birkhäuser, Basel (1995) Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Homological algebra in category theory, derived categories and functors, Applications of differential geometry to physics, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Other \(n\)-ary compositions \((n \ge 3)\), Quantization in field theory; cohomological methods
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Belolipetsky M., Math. Proc. Cambridge Philos. Soc. 138 pp 289-- (2005) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Esteves, E.: Wronski algebra systems on families of singular curves. Ann. sci. Éc. norm. Super. (4) 29, No. 1, 107-134 (1996) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Families, moduli of curves (algebraic), Complete intersections
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Luo W.: Error estimates for discrete harmonic 1-forms over Riemann surfaces. Commun. Anal. Geom. 14, 1027--1035 (2006) Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Enumerative problems (combinatorial problems) in algebraic geometry, Computational aspects of algebraic curves, Geometric aspects of numerical algebraic geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Cryptography, Curves over finite and local fields, Elliptic curves, Isogeny, Computational aspects of algebraic curves, Quantum cryptography (quantum-theoretic aspects)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Configurations and arrangements of linear subspaces, Automorphisms of curves, Fibrations, degenerations in algebraic geometry, Computational aspects of algebraic curves, Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Ryuichi Harasawa and Joe Suzuki, Fast Jacobian group arithmetic on \?_{\?\?} curves, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 359 -- 376. Curves over finite and local fields, Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Number-theoretic algorithms; complexity, Algebraic coding theory; cryptography (number-theoretic aspects), Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Stange K E. The Tate pairing via elliptic nets. In: Pairing-Based Cryptography-PAIRING 2007, LNCS 4575. Berlin: Springer, 2007. 329--348 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Computational aspects of algebraic curves, Analysis of algorithms
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves G.\ A. Jones, Bipartite graph embeddings, Riemann surfaces and Galois groups, Discrete Math. 338 (2015), no. 10, 1801-1813. Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Abramo Hefez, Marcelo E. Hernandes & Maria E. Rodrigues Hernandes, ``The analytic classification of plane curves with two branches'', Math. Z.279 (2015) no. 1-2, p. 509-520 Invariants of analytic local rings, Singularities of curves, local rings, Computational aspects of algebraic curves, Plane and space curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves B. Hassett, D. Hyeon, and Y. Lee, ''Stability computation via Gröbner basis,'' J. Korean Math. Soc., vol. 47, iss. 1, pp. 41-62, 2010. Families, moduli of curves (algebraic), Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Carel Faber, Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians, New trends in algebraic geometry (Warwick, 1996) London Math. Soc. Lecture Note Ser., vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 93 -- 109. Computational aspects of algebraic curves, Families, moduli of curves (algebraic), Software, source code, etc. for problems pertaining to algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Jacobians, Prym varieties, Algebraic moduli problems, moduli of vector bundles, Algebraic moduli of abelian varieties, classification
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Mehlhorn, K.; Sagraloff, M.; Wang, P.: From approximate factorization to root isolation, 283-290 (2013) Symbolic computation and algebraic computation, Computational aspects of algebraic curves, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Numerical computation of roots of polynomial equations, Analysis of algorithms
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Toric varieties, Newton polyhedra, Okounkov bodies, Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Bujalance, E., Gromadzki, G.: On ramified double covering maps of Riemann surfaces. J. Pure Appl. Algebra 146(1), 29--34 (2000) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Komeda, J., On the existence of Weierstrass points with a certain semigroup, \textit{Tsukuba J. Math.}, 6, 2, 237-270, (1982) Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Wu W T, \textit{Mathematics Mechanization}, Science Press and Kluwer Academic Publishers, Beijing, 2000. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science, History of Chinese mathematics, Polynomials in real and complex fields: location of zeros (algebraic theorems), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of algebraic curves, Elementary problems in Euclidean geometries, Error analysis and interval analysis, Artificial intelligence for robotics, Computer science aspects of computer-aided design, Symbolic computation and algebraic computation
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Hu, C.; Yang, S., Multi-point codes over Kummer extensions, Des. Codes Cryptogr., 86, 211-230, (2018) Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Burnol J.-F.: Weierstrass points on arithmetic surfaces. Invent. Math. 107, 421--432 (1992) Arithmetic varieties and schemes; Arakelov theory; heights, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves J. H. Van Lint, ''Algebraic Geometric Codes,'' preprint. Other types of codes, Computational aspects of algebraic curves, Curves in algebraic geometry, Divisors, linear systems, invertible sheaves, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Riemann-Roch theorems
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Chain conditions, finiteness conditions in commutative ring theory, Pattern recognition, speech recognition, Image processing (compression, reconstruction, etc.) in information and communication theory, Plane and space curves
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Heß, F.: An algorithm for constructing Weierstrass points, Lecture notes in comput. Sci. 2369, 357-371 (2002) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Number-theoretic algorithms; complexity, Curves over finite and local fields, Computational aspects of algebraic curves, Elliptic curves, Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves G.\ A. Jones, Hypermaps and multiply quasiplatonic Riemann surfaces, European J. Combin. 33 (2012), no. 7, 1588-1605. Dessins d'enfants theory, Riemann surfaces; Weierstrass points; gap sequences, Planar graphs; geometric and topological aspects of graph theory, Hypergraphs, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Directed graphs (digraphs), tournaments, Paths and cycles, Riemann surfaces; Weierstrass points; gap sequences
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves DOI: 10.1016/j.jalgebra.2009.03.039 Computational aspects of algebraic curves, de Rham cohomology and algebraic geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences, Combinatorial structures in finite projective spaces
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves D Griffiths, At most 27 length inequalities define Maskit's fundamental domain for the modular group in genus 2, Geom. Topol. Monogr. 1, Geom. Topol. Publ., Coventry (1998) 167 General geometric structures on low-dimensional manifolds, Riemann surfaces; Weierstrass points; gap sequences, Teichmüller theory for Riemann surfaces, Geodesics in global differential geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Frühbis-Krüger, A.: Computing moduli spaces of space curve singularities. J. pure appl. Algebra 164, 165-178 (2001) Computational aspects of algebraic curves, Singularities of curves, local rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Plane and space curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves N. Bruin, M. Stoll, Deciding existence of rational points on curves: an experiment, Experiment. Math. 17 (2008), 181-189. Zbl1218.11065 MR2433884 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Computer solution of Diophantine equations, Rational points, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Plane and space curves, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Lehr, C.; Matignon, M., Automorphism groups for \textit{p}-cyclic covers of the affine line, Compos. Math., 141, 1213-1237, (2005) Automorphisms of curves, Families, moduli of curves (algebraic), Computational aspects of algebraic curves, Finite nilpotent groups, \(p\)-groups
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Geometric methods (including applications of algebraic geometry) applied to coding theory, Projective techniques in algebraic geometry, Computational aspects of algebraic curves
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves D. Cox, J.W. Hoffman and H. Wang. Syzygies and the Rees algebra. J. Pure \& Applied Algebra, 212 (2008), 1787--1796. Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Number-theoretic algorithms; complexity, Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves, Computational aspects of algebraic curves
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Jacobians, Prym varieties, Computational aspects of algebraic curves, Cryptography, Analysis of algorithms and problem complexity, Finite ground fields in algebraic geometry, Elliptic curves, Complexity classes (hierarchies, relations among complexity classes, etc.)
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Elliptic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Catanese, F. , Schneider, M. : Bounds for stable bundles and degrees of Weierstraß schemes . Math. Ann. 293 (1992) 579-594. Riemann surfaces; Weierstrass points; gap sequences, Characteristic classes and numbers in differential topology, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves 12. F. K. Janjua and G. Pfister, A classifier for simple space curve singularities, Studia Sci. Math. Hungarica51(1) (2014) 92-104. Computational aspects of algebraic curves, Singularities of curves, local rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Plane and space curves, Germs of analytic sets, local parametrization, Invariants of analytic local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves P.~Gaudry, D.~R. Kohel, and B.~A. Smith. Counting points on genus 2 curves with real multiplication, in D.~H. Lee and X.~Wang, editors, \textit{ASIACRYPT, volume 7073 of Lecture Notes in Computer Science} (Springer, 2011), pp. 504-519 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Special algebraic curves and curves of low genus, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Proceedings, conferences, collections, etc. pertaining to functions of a complex variable, Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Proceedings of conferences of miscellaneous specific interest
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Sendra, J.; Sendra, J.R., Rational parametrization of conchoids to algebraic curves, Appl. Algebra Eng. Commun. Comput., 21, 413-428, (2010) Computational aspects of algebraic curves, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Nakamura, H.; Tsunogai, H., Some finiteness theorems on Galois centralizers in pro-\textit{} mapping class groups, J. Reine Angew. Math., 441, 115-144, (1993) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves H. M. Farkas, I. Kra, Theta constants, Riemann surfaces and the modular group. Graduate Studies in Mathematics 37. American Mathematical Society, Providence, RI, (2001). Zbl0982.30001 MR1850752 Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Differentials on Riemann surfaces, Dedekind eta function, Dedekind sums, Hecke-Petersson operators, differential operators (one variable), Fourier coefficients of automorphic forms, Elementary theory of partitions, Analytic theory of partitions, Partitions; congruences and congruential restrictions, Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and their generalizations (group-theoretic aspects)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Numerical aspects of computer graphics, image analysis, and computational geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves J.D. McCarthy. On the first cohomology group of cofinite subgroups in surface mapping class groups. \textit{Topology}, (2)40 (2001), 401-418. ISSN 0040-9383. 10.1016/S0040-9383(99)00066-X. Riemann surfaces; Weierstrass points; gap sequences, Classical real and complex (co)homology in algebraic geometry, Automorphisms of curves, Compact Riemann surfaces and uniformization
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Prasad, D.; Rajan, C. S., On an Archimedean analogue of tate's conjecture, J. Number Theory, 99, 180-184, (2003) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Isospectrality, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Electro- and magnetostatics, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Munuera, Carlos; Sepúlveda, Alonso; Torres, Fernando: Castle curves and codes. Adv. math. Commun. 3, No. 4, 399-408 (2009) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Campillo, A., Greuel, G.-M., Lossen, C.: Equisingular calculations for plane curve singularities. J. Symb. Comput. 42(1-2), 89-114 (2007). Zbl 1128.14003 Deformations of singularities, Singularities of curves, local rings, Computational aspects of algebraic curves
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Aldrovandi, E; Falqui, G, Geometry of Higgs and Toda fields on Riemann surfaces, J. Geom. Phys., 17, 25-48, (1995) Variation of Hodge structures (algebro-geometric aspects), Vector bundles on curves and their moduli, Riemann surfaces, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Medeiros, N.: On canonical curves and osculating spaces. J. Pure Appl. Algebra 170, 267--285 (2002) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Euclidean analytic geometry, Elementary problems in Euclidean geometries, Elementary questions in algebraic geometry, Computational aspects of algebraic curves
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