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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 AVANZI, R.-JACOBSON, M. J., JR.-SCHEIDLER, R.: Efficient reduction of large divisors on hyperelliptic curves, Adv. Math. Communications 4 (2010), 261-279. Computational aspects of algebraic curves, Curves over finite and local fields, Continued fraction calculations (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, 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 11. Martine, G. & Pavlos, T. A. [2001] '' Group generated by the Weierstrass points of a plane quartic,'' Proc. Am. Math. Soc.30, 667-672. Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym 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, Projective techniques in 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 Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to computer science, Symbolic computation and algebraic computation, Algebraic number theory computations, Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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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, 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 C. Towse, ''Weierstrass Points on Cyclic Covers of the Projective Line,'' Trans. Am. Math. Soc. 348, 3355--3378 (1996). Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global 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 Wang, H.; Jia, X.; Goldman, R., Axial moving planes and singularities of rational space curves, Comput. Aided Geom. Des., 26, 300-316, (2009) Computational aspects of algebraic curves, Numerical aspects of computer graphics, image analysis, and computational geometry, Plane and space 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 Klein, F.: On the order-seven transformation of elliptic functions,. In: The Eightfold Way, Math. Sci. Res. Inst. Publ. 35, Cambridge Univ. Press, Cambridge, 1999, pp. 287--331 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 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Topological entropy, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces, Riemann surfaces; Weierstrass points; gap sequences, Singularities of surfaces or higher-dimensional 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 Automorphisms of curves, Jacobians, Prym varieties, 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 Kikuchi, S.: Bound for the Weierstrass weights of points on a smooth plane algebraic curve, Tsukuba J. Math. 27, 359-374 (2003) Riemann surfaces; Weierstrass points; gap sequences, 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 Mora, T.: Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology, Encyclopedia of Mathematics and Its Applications 99. Cambridge University Press, Cambridge (2005) Computational aspects of algebraic curves, Syzygies, resolutions, complexes and 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 Classification of affine varieties, Complete intersections, 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 Software, source code, etc. for problems pertaining to number theory, Software, source code, etc. for problems pertaining to algebraic geometry, Elliptic curves over global fields, 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 Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Theta functions and curves; Schottky problem
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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 Hidalgo, R.A.: Hyperbolic polygons real Schottky groups. Complex Var. 48, 43--62 (2003) Compact Riemann surfaces and uniformization, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Klein surfaces, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, 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 Javanpeykar, A.: Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin. Algebra Number Theory \textbf{8}(1), 89-140 (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Dessins d'enfants theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Heights, Riemann surfaces; Weierstrass points; gap sequences, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems
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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. Izadi, A. Lo Giudice, G. Sankaran, The moduli space of étale double covers of genus 5 curves is unirational. Pac. J. Math. 239, 39--52 (2009) Jacobians, Prym varieties, Rational and unirational varieties, Computational aspects of algebraic curves, Families, moduli of curves (algebraic), 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 Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Coverings in algebraic geometry, 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 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 Matthews, G.L.: Some computational tools for estimating the parameters of algebraic geometry codes. In: Coding theory and quantum computing, Contemp. Math., vol.~381, pp. 19--26. Amer. Math. Soc., Providence (2005) Applications to coding theory and cryptography of arithmetic geometry, Riemann surfaces; Weierstrass points; gap sequences, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes
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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 Ellingsrud, G. and Strømme, S.: The number of twisted cubic curves on the generic quintic threefold. Preprint (1991) Computational aspects of higher-dimensional varieties, \(3\)-folds, Enumerative problems (combinatorial problems) 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 Matthews G.L.: Weierstrass semigroups and codes from a quotient of the Hermitian curve. Des. Codes Cryptogr. 37, 473--492 (2005) 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Nonperturbative methods of renormalization applied to problems in quantum field theory, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences, \(2\)-body potential quantum scattering 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 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Classification theory of 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 Tabera, Luis Felipe, Computing hypercircles by moving hyperplanes, J. Symbolic Comput., 0747-7171, 50, 450-464, (2013) 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 Plane and space curves, Positive characteristic ground fields 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 Martine Girard, Géométrie du groupe des points de Weierstrass d'une quartique lisse, J. Number Theory 94 (2002), no. 1, 103 -- 135 (French, with English and French summaries). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, 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 DOI: 10.1007/BF02584813 Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, 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 DOI: 10.1006/jabr.1995.1379 Singularities of curves, local rings, 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, Plane and space 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 A.M. Vermeulen. \textit{Weierstrass points of weight two on curves of genus three}. Universiteit van Amsterdam, Amsterdam, 1983. Dissertation, University of Amsterdam, Amsterdam, 1983;With a Dutch summary. Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, 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 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 Biswas, I.; Parameswaran, A. J.; Subramanian, S.: Numerically effective line bundles associated to a stable bundle over a curve. Bull. sci. Math 128, 23-29 (2004) Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Group actions on varieties or schemes (quotients)
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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, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), 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 Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry, 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 Jacobians, Prym varieties, Elliptic curves over global fields, Isogeny, 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 Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (1990) Elliptic curves, Computational aspects of algebraic curves, Cubic and quartic extensions, Global ground fields in 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 Sendra J. and Villarino C. (2001). Optimal reparametrization of polynomial algebraic curves. Int. J. Comput. Geom. Appl. 11(4): 439--453 Computational aspects of algebraic curves, Computational aspects and applications of 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 Rueda, S.L.; Sendra, J.; Sendra, J.R., An algorithm to parametrize approximately space curves, J. symb. comput., 56, 80-106, (2013) Computational aspects of algebraic curves, 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 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 Reyssat, E.: In: Waldschmidt, M., Moussa, P., Louck, J.M., Itzykson, C. (eds.) From Number Theory to Physics. Springer, Berlin Heidelberg New York (1992) Coverings of curves, fundamental group, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Coverings in algebraic geometry, Inverse 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 Bujalance, E; Costa, AF, Automorphism groups of pseudo-real Riemann surfaces of low genus, Acta Math. Sin. (English Series), 30, 11-22, (2014) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Klein 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 Computational aspects of algebraic curves, Elliptic curves over global fields, Determinantal varieties, Plane and space 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 Gebauer, R.; Kalkbrener, M.; Wall, B.; Winkler, F., CASA: A computer algebra package for constructive algebraic geometry, (), 403-410 Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Computational aspects of algebraic surfaces, Real algebraic sets
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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 Breda d'Azevedo, A; Catalano, DA; Karabáš, J; Nedela, R, Maps of Archimedean class and operations on dessins, Discret. Math., 338, 1814-1825, (2015) Group actions on combinatorial structures, 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 L. Fredrickson and A. Neitzke, \textit{From S}\^{}\{1\}-\textit{fixed points to}\( \mathcal{W} \)\textit{-algebra representations}, arXiv:1709.06142 [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories 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 R. Lax, On the distribution of Weierstrass points on singular curves, Israel Journal of of Mathematics 57 (1987), 107--115. Singularities of curves, local rings, 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 Bethe-Salpeter and other integral equations arising in quantum theory, Computational aspects of algebraic curves, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Exactly solvable models; Bethe ansatz, Linear ordinary differential equations and systems, Many-body theory; quantum Hall effect, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Groups and algebras in quantum theory and relations with integrable systems
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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. B. Bogatyrev, Computations in moduli spaces. Comp. Methods and Function Theory\textbf{7} (2007), No. 2, 309-324. General theory of numerical methods in complex analysis (potential theory, etc.), Kleinian groups (aspects of 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 Andreas Enge, How to distinguish hyperelliptic curves in even characteristic, Public-key cryptography and computational number theory (Warsaw, 2000) de Gruyter, Berlin, 2001, pp. 49 -- 58. Arithmetic ground fields for curves, Curves over finite and local fields, 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 J. von zur Gathen and I. E. Shparlinski, Components and projections of curves over finite fields. InProc. 5th Int. Symp. on Algorithms and Computation ISSAC '94, vol. 834 ofSpringer Lecture Notes in Computer Science, 1994, 297?305. SIAM J. Comput., to appear. 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 Oaku, T., Shiraki, Y., Takayama, N.: Algorithms for D-Modules and Numerical Analysis. Computer Mathematics, pp. 23-39. World Scientific, Singapore (2003) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), Computational aspects of algebraic curves, Symbolic computation and algebraic computation, 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 Emerton, Matthew, A new proof of a theorem of Hida, Internat. Math. Res. Not. IMRN, 1073-7928, 9, 453\textendash 472 pp., (1999) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Modular and Shimura varieties, \(p\)-adic theory, local fields, 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, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in 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 Emil J. Volcheck, Computing in the Jacobian of a plane algebraic curve, Algorithmic number theory (Ithaca, NY, 1994) Lecture Notes in Comput. Sci., vol. 877, Springer, Berlin, 1994, pp. 221 -- 233. Computational aspects of algebraic curves, Jacobians, Prym varieties, Computer graphics; computational geometry (digital and algorithmic aspects), 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 External book reviews, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic), Jacobians, Prym varieties, Conformal mappings of special domains
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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 Schicho, J; Sevilla, D, Radical parametrization of trigonal curves, Contemp. Math., 572, 221-231, (2012) Computational aspects of algebraic curves, Special divisors on curves (gonality, Brill-Noether theory), Symbolic computation and algebraic computation, Lie algebras of linear algebraic groups, Effectivity, complexity and computational aspects of 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 A. Zvonkin, ''Megamaps: Construction and Examples,'' in: \textit{Discr. Math. Theor. Comput. Sci. Proc., AA} (2001), pp. 329-339. Algebraic combinatorics, 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, Non-Euclidean differential geometry, Differential invariants (local theory), geometric objects, Hyperbolic and elliptic geometries (general) and generalizations
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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 curves, local rings, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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 Carvalho, C; Kato, T, On Weierstrass semigroups and sets: a review with new results, Geometriae Dedicata, 139, 195-210, (2009) Riemann surfaces; Weierstrass points; gap sequences, Algebraic coding theory; cryptography (number-theoretic aspects), Curves over finite and local fields, Geometric methods (including applications of algebraic geometry) applied to coding 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 Families, moduli of curves (algebraic), 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 Alberti L., Mourrain B., Wintz J.: Topology and arrangement computation of semi-algebraic planar curves. Comput. Aided Geom. Des. 25(8), 631--651 (2008) Topology of real algebraic varieties, Semialgebraic sets and related spaces, Computer-aided design (modeling of curves and surfaces), Computer graphics; computational geometry (digital and algorithmic aspects), 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 H. Hong, An efficient method for analyzing the topology of plane real algebraic curves. Mathematics and Computers in Simulation,42 (1996), 571--582. Computational aspects of algebraic curves, Topology of real algebraic 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 Miret, J.; Moreno, R.; Rio, A.; Valls, M., Computing the \textit{}-power torsion of an elliptic curve over a finite field, Math. comput., 78, 267, 1767-1786, (2009) Curves over finite and local fields, Number-theoretic algorithms; complexity, 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 Computational aspects of algebraic curves, Special algebraic curves and curves of low genus, Analysis of algorithms and problem complexity
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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 Assi, A.: Une variante de l'algorithme de mora. CR acad. Sci. Paris sér. I math. 310, 683-686 (1990) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials, Curves 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 Guàrdia, J.: Analytic invariants in Arakelov theory for curves. C. R. Acad. sci. Paris ser. I 329, 41-46 (1999) Arithmetic varieties and schemes; Arakelov theory; heights, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Theta functions and curves; Schottky problem, Theta functions and abelian 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 \(4\)-folds, Computational aspects of algebraic curves, Curves in Euclidean and related spaces, Geometric quantization
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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, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, 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 Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Equivariant homology and cohomology in algebraic topology
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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 Bertram A.: Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian. Internat. J. Math. 5, 811--825 (1994) Grassmannians, Schubert varieties, flag manifolds, Riemann surfaces; Weierstrass points; gap sequences, Factorization systems, substructures, quotient structures, congruences, amalgams, Schemes and morphisms
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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, Separable extensions, Galois theory, Computational aspects of algebraic curves, Dessins d'enfants 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 Families, moduli of curves (algebraic), Stacks and moduli problems, Singularities of curves, local rings, 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 Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Fuchsian and Kleinian groups as dynamical systems
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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 Patashnick, O., A candidate for the abelian category of mixed elliptic motives, J. K-Theory, 12, 569-600, (2013) Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Arithmetic problems in algebraic geometry; Diophantine geometry, Computational aspects of algebraic curves, Motivic cohomology; motivic homotopy theory, Higher algebraic \(K\)-theory, Grothendieck groups, \(K\)-theory and commutative rings, Lie algebras of linear algebraic groups, Grothendieck groups (category-theoretic aspects), 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 Kaltofen, E.: Computing the irreducible real factors and components of an algebraic curve. Appl. algebra eng. Comm. comput. 1, No. 2, 135-148 (1990) 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 Biswas, I.; Seshadri, H., On the Kähler structures over quot schemes II, Ill. J. math., 58, 689-695, (2014) Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves, Positive curvature complex manifolds, Vector bundles on curves and their moduli, Parametrization (Chow and Hilbert schemes)
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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, Value distribution of meromorphic functions of one complex variable, Nevanlinna 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 Stöhr, K-O; Viana, P, Weierstrass gap sequences and moduli varieties of trigonal curves, J. Pure Appl. Algebra, 81, 63-82, (1992) 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 Zeng, J.; Yin, L., On the computation of coefficients of modular forms: the reduction modulo \textit{p} approach, Math. Comp., 84, 1469-1488, (2015) Fourier coefficients of automorphic forms, Curves over finite and local fields, Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Algebraic functions and function fields in 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 Eisenbud, D. andHarris, J., The monodromy of Weierstrass points,Invent. Math. 90 (1987), 333--341. Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Classification theory of Riemann surfaces, 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 P.B. van Wamelen, Computing with the analytic Jacobian of a genus 2 curve, in W. Bosma, J. Cannon, M. Bronstein, A.M. Cohen, H. Cohen, D. Eisenbud, B. Sturmfels, editors, \textit{Discovering Mathematics with Magma}. Algorithms and Computation in Mathematics, vol. 19 (Springer, Berlin Heidelberg, 2006), pp. 117-135 Computational aspects of algebraic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Computational number 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 Quantum groups (quantized enveloping algebras) and related deformations, Virasoro and related algebras, 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 Singularities of curves, local rings, Curves over finite and local fields, Computational aspects of algebraic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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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, Effectivity, complexity and computational aspects of algebraic geometry, Number-theoretic algorithms; complexity
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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 Infinite-dimensional Lie (super)algebras, Riemann surfaces; Weierstrass points; gap sequences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, 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 Riemann surfaces; Weierstrass points; gap sequences, Sheaves and cohomology of sections of holomorphic vector bundles, general results, 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 Beardon, A.: The geometry of Riemann surfaces, London math. Soc. lecture note ser. 287 (2001) Compact Riemann surfaces and uniformization, Families, moduli of curves (analytic), Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces, Conformal metrics (hyperbolic, Poincaré, distance 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 Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Ordinary representations and characters
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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 Bukhshtaber, VM; Ènol'skiĭ, VZ; Leĭkin, DV, Rational analogues of Abelian functions, Funct. Anal. Appl., 33, 83-94, (1999) Relationships between algebraic curves and integrable systems, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, 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 Müller, V.: Fast multiplication on elliptic curves over small fields of characteristic two. J. cryptol. 11, 219-234 (1998) Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Cryptography, Elliptic curves, Elliptic curves over global 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 J.H. Silverman, \textit{The Xedni calculus and the elliptic curve discrete logarithm problem}, \textit{Designs, Codes Crypt.}\textbf{20} (2000) 5. Number-theoretic algorithms; complexity, Cryptography, Computational aspects of algebraic curves, Elliptic curves over global 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 Curves over finite and local fields, Number-theoretic algorithms; complexity, 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 Ana, M., Jose-Javier, M.: A new source of structured singular value decomposition problems. ETNA 18, 188--197 (2004) Numerical aspects of computer graphics, image analysis, and computational geometry, Numerical solutions to overdetermined systems, pseudoinverses, 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 Couveignes, J. -M.: Boundary of Hurwitz spaces and explicit patching. J. symbolic comput. 30, 739-759 (2000) Inverse Galois theory, Coverings of curves, fundamental group, Arithmetic algebraic geometry (Diophantine geometry), Families, moduli of curves (algebraic), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), 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 Cassa, A.: Teoria elementare delle curve algebriche piane e delle superfici de Riemann compatte. Quaderni dell'unione matematica italiana 25 (1983) Curves in algebraic geometry, Compact Riemann surfaces and uniformization, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic 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 Eisenbud, D., Harris, J.: Recent progress in the study of Weierstrass points. Conf. Proceedings, Rome 1984. Lect. Notes Math. (to appear) Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, History of algebraic geometry, Families, moduli of curves (algebraic), History of mathematics in the 20th century
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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 X. S. Gao, Implicitiztion of differential rational parametric equations, J. of Symbolic Computation, 2003, 36: 811--824. Differential algebra, Computational aspects of algebraic curves, Computational aspects of algebraic surfaces
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