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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 K. D. Semmler and M. Seppälä:\(Numerical Uniformization of Hyperelliptic curves\), Proc. ISSAC, (1995). Computer-aided design (modeling of curves and surfaces), Computational aspects of algebraic 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 Cryptography, 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 Computational aspects of algebraic curves, Differential geometric aspects in kinematics, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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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, Finite automorphism groups of algebraic, geometric, or combinatorial structures
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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 Briand, L. C. (2007). A critical analysis of empirical research in software testing. In Proceedings of the 1st international symposium on empirical software engineering and measurement (ESEM 2007) (pp. 1--8). Los Alamitos, CA: IEEE Computer Society Press. Topology of real algebraic varieties, 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 DOI: 10.1142/S0217732398003041 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 C. M. HOFFMANN (1990), Algebraic and Numerical Techniques for Offsets and Blends, in Computations of Curves and Surfaces, W. Dahmen, M. Gasca,C. Micchelli, eds., Kluwer Acad. Publ., 499-528. Zbl0705.68102 MR1064970 Computer science aspects of computer-aided design, Computer graphics; computational geometry (digital and algorithmic aspects), Computational aspects of algebraic curves, Computational aspects of algebraic 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 Arithmetic aspects of modular and Shimura varieties, Riemann surfaces; Weierstrass points; gap sequences, 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 A. Bertram, G. Daskalopoulos, and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc., to appear. Riemann surfaces; Weierstrass points; gap sequences, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Moduli problems for differential geometric structures
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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 Korchmáros, G; Speziali, P, Hermitian codes with automorphism group isomorphic to \(PGL(2,q)\) with \(q\) odd, Finite Fields Appl., 44, 1-17, (2017) 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, Applications to coding theory and cryptography of arithmetic 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 Wright, O. C.: Modulational instability in a defocusing coupled nonlinear Schrödinger system. Physica D 82, 1-10 (1995) NLS equations (nonlinear Schrödinger equations), Applications of dynamical systems, 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 Farr, J B; Gao, S H, Computing Gröbner bases for vanishing ideals of finite sets of points, 118-127, (2006) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Syzygies, resolutions, complexes and commutative rings, Computational aspects of algebraic curves, Computational aspects of algebraic 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 Tilings in \(2\) dimensions (aspects of discrete geometry), Riemann surfaces; Weierstrass points; gap sequences, Quasicrystals and aperiodic tilings in 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 J.S. Müller, M. Stoll, Canonical heights on genus two Jacobians. Algebra & Number Theory 10(10), 2153-2234 (2016) Heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Arithmetic varieties and schemes; Arakelov theory; heights, Computational aspects of algebraic curves, Rational points
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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 Mednykh, A.; Mednykh, I., No article title, Discrete Math., 338, 1793-1800, (2015) Graphs and abstract algebra (groups, rings, fields, etc.), Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), 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. Ruffing, Th. Deck, and M. Schlichenmaier, ''String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras,'' Lett. Math. Phys. 26, 23--32 (1992). Virasoro and related algebras, Riemann surfaces; Weierstrass points; gap sequences, Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, String and superstring theories; other extended objects (e.g., branes) in quantum field 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, Holomorphic modular forms of integral weight
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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, Algebraic moduli problems, moduli of vector bundles, 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 Elliptic curves, Computational aspects of algebraic curves, Arithmetic aspects of modular and Shimura varieties, Elliptic curves over global fields, Computer solution of Diophantine equations, 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 Geometric methods (including applications of algebraic geometry) applied to coding theory, Vector bundles on curves and their moduli, 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 Pellikaan R.: On the gonality of curves, abundant codes and decoding. In: Coding Theory and Algebraic Geometry, Luminy, 1991. Lecture Notes in Mathematics, vol. 1518, pp. 132--144. Springer, Berlin (1992). Geometric methods (including applications of algebraic geometry) applied to coding theory, Computational aspects of algebraic curves, Bounds on codes, Decoding
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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 Grasegger, Georg, Radical solutions of algebraic ordinary differential equations, (Nabeshima, K., Proceedings of the 2014 international symposium on symbolic and algebraic computation (ISSAC), (2014), ACM Press New York), 217-223 Symbolic computation and algebraic computation, Abstract differential equations, Computational aspects of algebraic curves, Explicit solutions, first integrals of ordinary differential equations
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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 Projective techniques in algebraic geometry, Commutative rings and modules of finite generation or presentation; number of generators, 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 S.D. Galbraith and V. Rotger, Easy decision Diffie-Hellman groups. LMS J. Comput. Math.,7 (2004), 201--218. Applications to coding theory and cryptography of arithmetic geometry, 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 Alcázar, J. G.; Sendra, J. R.: Local shape of offsets to algebraic curves, J. symbolic. Comput. 42, 338-351 (2007) Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Singularities of curves, local rings, 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 Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. Algebraic functions and function fields in 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 , Numerical semigroups of genus six and double coverings of curves of genus three, Semigroup Forum 91 (2015), no. 3, 601--610. Riemann surfaces; Weierstrass points; gap sequences, Commutative semigroups
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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. Fouquet and F. Morain, \textit{Isogeny volcanoes and the SEA algorithm}, in Algorithmic Number Theory, C. Fieker and D. R. Kohel, eds., Lecture Notes in Comput. Sci. 2369, Springer, 2002, pp. 276--291, . Curves over finite and local fields, Number-theoretic algorithms; complexity, 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 Böhm, J., Decker, W., Pfister, G., Laplagne, S.: Local to global algorithms for the Gorenstein adjoint ideal of a curve. Preprint (2015). arXiv:1505.05040 Computational aspects of algebraic curves, Singularities of curves, local rings, Plane and space curves, Parallel algorithms in computer science, Software, source code, etc. for problems pertaining to algebraic geometry, 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 Computational aspects of algebraic curves, Real algebraic sets, Solving polynomial systems; resultants, 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 Singularities in algebraic geometry, Plane and space curves, 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 M. Chan, S. Haddadan, S. Hopkins, and L. Moci, \textit{The expected jaggedness of order ideals}, Forum Math. Sigma, 5 (2017), e9. Group actions on combinatorial structures, Combinatorics of partially ordered sets, 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 Divisors, linear systems, invertible sheaves, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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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 Watanabe, K.: Weierstrass points of the Fermat curve. Int. soc. Anal. appl. Comput. 4 (1999) 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 Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve II. Serdica Math. J. \textbf{34}, 771-782 (2008) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled 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 Families, moduli of curves (algebraic), 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 Computer-aided design (modeling of curves and surfaces), 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 Drinfel'd modules; higher-dimensional motives, etc., Modular forms associated to Drinfel'd modules, Arithmetic ground fields for curves, Riemann surfaces; Weierstrass points; gap sequences, Potential theory on Riemannian manifolds and other 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 Diaz, S.: Deformations of exceptional Weierstrass points. Proc. A.M.S., 96, 7--10 (1986) Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), 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 Riemann surfaces; Weierstrass points; gap sequences, 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 Padmanabhan, R., McCune, W.: Uniqueness of Steiner laws on cubic curves. Beiträge Algebra Geom.~47(2), 543--557 (2006) Computational aspects of algebraic curves, Elliptic curves, Projective techniques in algebraic geometry, \(n\)-ary systems \((n\ge 3)\), Geometric constructions in real or complex 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 Plane and space 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 S. Corry, Genus bounds for harmonic group actions on finite graphs, \textit{Int. Math. Res. Not.} no. 19 (2011) 4515-4533. MR 2838048 (2012i:05056) Paths and cycles, 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 Varieties over finite and local fields, Elliptic 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 Ahlgren, S; Papanikolas, M, Higher Weierstrass points on \(X_0(p)\), Trans. Am. Math. Soc., 355, 1521-1535, (2003) Arithmetic aspects of modular and Shimura varieties, Curves over finite and local fields, Arithmetic ground fields for curves, Congruences for modular and \(p\)-adic modular forms, 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 O. K. Sheinman, ''On Certain Current Algebras Related to Finite-Zone Integration,'' in Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar 2006--2007, Ed. by V. M. Buchstaber and I. M. Krichever (Am. Math. Soc., Providence, RI, 2008), AMS Transl., Ser. 2, 224, pp. 271--284. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Differentials on Riemann surfaces, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Lie algebras of vector fields and related (super) algebras
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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 Dessins d'enfants theory, Coverings of curves, fundamental group, 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 Black holes, Quantization of the gravitational field, Gravitational waves, Perturbations in context of PDEs, Statistical mechanics of polymers, Applications of differential geometry to physics, Riemann surfaces; Weierstrass points; gap sequences, Spectrum, resolvent
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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 Prapavessi, ''On the jacobian of the Klein curve'', Procedings of the American Mathematical Society Vol 122, Number 4, December 1994. Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, 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 Bez, HE, Generalized invariant-geometry conditions for the rational Bézier paths, Int J Comput Math, 87, 793-811, (2010) Plane and space curves, Real algebraic and real-analytic geometry, Computational aspects of algebraic curves, Computer graphics; computational geometry (digital and algorithmic aspects), 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 Nakayashiki, A., On algebraic expressions of sigma functions for (\textit{n},\textit{s})-curves, Asian J. Math., 14, 175-212, (2010) Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences, Relationships between algebraic curves and 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 Blasco, A.; Pérez-Díaz, S.: Asymptotes of space curves, (2014) Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces), Curves in Euclidean and related 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 Computational aspects of algebraic curves, Special divisors on curves (gonality, Brill-Noether theory), 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 Sachar Paulus and Andreas Stein, Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves, Algorithmic number theory (Portland, OR, 1998) Lecture Notes in Comput. Sci., vol. 1423, Springer, Berlin, 1998, pp. 576 -- 591. Algebraic number theory computations, Computational aspects of algebraic curves, Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Applications to coding theory and cryptography of arithmetic 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 Farouki, R.T.: Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves. Adv. Comput. Math. 33, 331--348 (2010) Curves in Euclidean and related spaces, Special algebraic curves and curves of low genus, Plane and space curves, Computational aspects of algebraic curves, Computer graphics; computational geometry (digital and algorithmic aspects), Computer science aspects of computer-aided design
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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, Derivations and commutative rings, 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 Algebraic number theory computations, Computational aspects of algebraic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Curves over finite and local fields, Coverings of curves, fundamental group, 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 Flynn EV, Grattoni C: Descent via isogeny on elliptic curves with large rational torsion subgroups. J. Symbolic. Comput 2008,43(4):293--303. 10.1016/j.jsc.2007.11.001 Elliptic curves, Applications to coding theory and cryptography of arithmetic geometry, 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 Symbolic computation and algebraic computation, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to numerical analysis, Computational aspects of algebraic curves, Proceedings, conferences, collections, etc. pertaining to computer science
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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 Connell, I., Calculating root numbers of elliptic surfaces over \(\mathbb{Q}\), Manuscripta Math., 82, 93-104, (1994) Elliptic curves, 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 Coppens M.: Generalized inflection points of very general line bundles on smooth curves. Ann. Mat. Pura Appl. 187(4), 605--609 (2008) 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 1. Alwaleed, K. & Kawasaki, M. [2009] '' 2-Weierstrass points of certain plane curves of genus three,'' Saitama Math. J.26, 49-65. 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 M. Fried, Combinatorial computation of moduli dimension of Nielsen classes of covers, Contemporary Mathematics 89 (1989), 61--79. Coverings of curves, fundamental group, Computational aspects of algebraic curves, Algebraic functions and function fields in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Separable extensions, Galois theory, Families, moduli of curves (algebraic), Coverings 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 Lian, J. A., On \(a\)-ary subdivision for curve design: II. 3-point and 5-point interpolatory schemes, Appl. Appl. Math., 3, 176-187, (2009) Computer-aided design (modeling of curves and surfaces), Computer science aspects of computer-aided design, Computational aspects of algebraic curves, Plane and space curves, Other \(n\)-ary compositions \((n \ge 3)\)
| 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, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Curves over finite and local fields, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Automorphisms of curves, Modules of differentials
| 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, Special divisors on curves (gonality, Brill-Noether theory), Special algebraic curves and curves of low genus, Applications to coding theory and cryptography of arithmetic geometry
| 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, 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 Lian, J.-A., On \textit{a}-ary subdivision for curve design. I. 4-point and 6-point interpolatory schemes, \textit{Applications and Applied Mathematics}, 3, 1, 18-29, (2008) Computer-aided design (modeling of curves and surfaces), Computer science aspects of computer-aided design, Computational aspects of algebraic curves, Plane and space curves, Other \(n\)-ary compositions \((n \ge 3)\)
| 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 Chekhov, L.; Mazzocco, M., Colliding holes in Riemann surfaces and quantum cluster algebras, Nonlinearity, 31, 54, (2018) Cluster algebras, Relationships between surfaces, higher-dimensional varieties, and physics, Triangulating manifolds, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Relations of low-dimensional topology with graph theory, Riemann surfaces; Weierstrass points; gap sequences, Quantum groups (quantized enveloping algebras) and related deformations, Teichmüller theory for Riemann surfaces
| 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 Wang, R. H.; Wu, J. M.: Real roots isolation of spline functions, J. comput. Math. 26, 69-75 (2008) Numerical computation using splines, 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, 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 Weng, [Weng 02] A., Constructing hyperelliptic curves of genus 2 suitable for cryptography., \textit{Math. Comput.}, 72, 241, 435-458, (2002) Complex multiplication and moduli of abelian varieties, Applications to coding theory and cryptography of arithmetic geometry, Number-theoretic algorithms; complexity, Curves over finite and local fields, 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 Yang, S.; Hu, C., Weierstrass semigroups from Kummer extensions, Finite Fields Appl., 45, 264-284, (2017) 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 Toeplitz operators, Hankel operators, Wiener-Hopf operators, Linear operators on function spaces (general), 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 Berry, T. G.: Groebner bases of the ideal of a space curve, J. pure appl. Algebra 148, No. 1, 17-27 (2000) Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, 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 Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces)
| 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 J. D. McCarthy: \_{}\{\^{}\{\(Weierstrass points and Z2 homology\)\}\} , Topology and its Applications 63, pp. 173-188, (1995). Compact Riemann surfaces and uniformization, General low-dimensional topology, Differential topological aspects of diffeomorphisms, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Other groups related to topology or analysis, Structure and classification of infinite or finite groups, 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 Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Topology of real algebraic varieties, Differentials on Riemann surfaces, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 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 \.Zoładek, H., The topological proof of Abel-ruffini theorem, Topological Methods in Nonlinear Analysis, 16, 253-265, (2000) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Covering spaces and low-dimensional topology
| 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 Tanush Shaska and Jennifer L. Thompson, On the generic curve of genus 3, Affine algebraic geometry, Contemp. Math., vol. 369, Amer. Math. Soc., Providence, RI, 2005, pp. 233 -- 243. Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Computational aspects of algebraic curves, 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 van Hoeij, M., Rational parametrizations of algebraic curves using a canonical divisor, \textit{Journal of Symbolic Computation}, 23, 2-3, 209-227, (1997) Symbolic computation and algebraic computation, Divisors, linear systems, invertible sheaves, 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 Costa, A.F., Izquierdo, M., Porto, A.M.: Maximal and Non-maximal NEC and Fuchsian groups uniformizing Klein and Riemann surfaces. In: Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces. Contemp. Math., Amer. Math. Soc., Providence, RI \textbf{629}, 107-118 (2014) Compact Riemann surfaces and uniformization, Klein surfaces, Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Other geometric groups, including crystallographic groups, Group actions on manifolds and cell complexes in low dimensions
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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 Numerical algorithms for computer arithmetic, etc., Algebraic coding theory; cryptography (number-theoretic aspects), Computational aspects of algebraic curves, Applications to coding theory and cryptography of arithmetic geometry
| 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 Spaces and algebras of analytic functions of one complex variable, 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 Serre, J.-P., Revêtements à ramification impaire et thêta-caractéristiques, C. R. acad. sci. Paris Sér. I math., 311, 9, 547-552, (1990) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, 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 Pethö, A.; Stein, J.; Weis, T.; Zimmer, H. G.: Computing the torsion group of elliptic curves by the method of Gröbner bases. Progress in computer science and applied logic 15, 245-265 (1998) Elliptic curves over global fields, Computer solution of Diophantine equations, Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Elliptic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
| 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 Mehlhorn, K.; Sagraloff, M.; Wang, P., From approximate factorization to root isolation with application to cylindrical algebraic decomposition, J. Symb. Comput., 66, 0, 34-69, (2015) 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
| 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, Cryptography, Computational aspects of algebraic curves, Elliptic curves over global fields
| 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 I. Connell, Addendum to a paper of Harada and Lang, J. Algebra, 145 (1992), 463--467. Elliptic curves over global fields, Number-theoretic algorithms; complexity, Elliptic 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 Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, 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 Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Elliptic curves, Elliptic curves over local fields
| 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 Kent, IV R.P.: Congruence Kernels Around Affine Curves. arXiv:1109.1267v1 (2011) Topological methods in group theory, Fundamental groups and their automorphisms (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences, Limits, profinite groups, Braid groups; Artin groups, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Teichmüller theory for Riemann surfaces
| 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 M. Matone and R. Volpato, \textit{Vector-valued modular forms from the Mumford form, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula}, to appear in \textit{Proc. Amer. Math. Soc.} [arXiv:1102.0006] [INSPIRE]. Theta functions and curves; Schottky problem, 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 Bujalance, E.F.-J. Cirre and P. Turbek, Automorphism criteria for \(M^*\)-groups , Proc. Edinburgh Math. Soc. (2) 47 (2004), 339-351. Fuchsian groups and their generalizations (group-theoretic aspects), Automorphisms of abstract finite groups, Generators, relations, and presentations of groups, Klein surfaces, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of 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 Research exposition (monographs, survey articles) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Separable extensions, Galois theory, Classification theory of Riemann surfaces, Equations in general fields, Riemann surfaces; Weierstrass points; gap sequences, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, Differential algebra
| 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 Virasoro and related algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 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, Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry
| 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 Chekov, L., Matrix model for discretized moduli space, J. Geom. Phys., 12, 153, (1993) Families, moduli of curves (algebraic), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Riemann surfaces, Virasoro and related algebras
| 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces
| 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 Cirre, F.J., Gamboa, J.M.: Compact Klein surfaces and real algebraic curves. Topics on Riemann surfaces and Fuchsian groups (Madrid, 1998). In: London Mathematical Society, Lecture Note Series, vol. 287, pp. 113-131. Cambridge University Press, Cambridge (2001) Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces
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