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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Theta functions and curves; Schottky problem, 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 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 Adrianov, N.M., Shabat, G.B.: Belyĭ functions of dessins d'enfants of genus 2 with four edges. Uspekhi Mat. Nauk 60(6), (366), 229--230 (2005) (in Russian); Russ. Math. Surv. 60(6), 1237--1239 (2005) (in English) Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Birational automorphisms, Cremona group 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 Computational aspects of algebraic curves, Differential algebra
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Weaver, A, Genus spectra for split metacyclic groups, Glasg. Math. J., 43, 209-218, (2001) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Automorphisms of surfaces and higher-dimensional varieties, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Group actions on manifolds and cell complexes in low dimensions, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, 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 M. Kudo; S. Harashita, Superspecial curves of genus 4 in small characteristic, Finite Fields Appl., 45, 131, (2017) Curves over finite and local fields, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational points, Jacobians, Prym varieties, 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, 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 Hain, R; Reed, D, Geometric proofs of some results of Morita, J. Algebraic Geom., 10, 199-217, (2001) Families, moduli of curves (algebraic), Jacobians, Prym varieties, Fine and coarse moduli spaces, Classical real and complex (co)homology in algebraic geometry, Algebraic moduli of abelian varieties, classification, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computational aspects of algebraic curves, Computer science aspects of computer-aided design, Numerical interpolation, Computer-aided design (modeling of curves and surfaces), 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 Heins M.: On the pseudo-periods of the Weirstrass zeta-function. SIAM J. Numer. Anal. 3, 266--268 (1966) Modular and automorphic functions, Riemann surfaces; Weierstrass points; gap sequences, 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 Laumon, G., Fibrés vectoriels spéciaux, Bull. Soc. Math. France, 119, 1, 97-119, (1991) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, 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 Donaldson, S., Riemann Surfaces, Oxford Graduate Texts in Mathematics, vol. 22, (2011), Oxford University Press: Oxford University Press Oxford 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 Farkas, G; Tarasca, N, Pointed Castelnuovo numbers, Math. Res. Lett., 23, 389-404, (2016) Special divisors on curves (gonality, Brill-Noether 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 Dupont, L., Lazard, D., Lazard, S., Petitjean, S.: Near-optimal parameterization of the intersection of quadrics: I. The generic algorithm. J. Symb. Comput. 43(3), 168--191 (2008) 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 I. OYAMA: On uniform convergence of trigonometrical series, (in the press) 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 Streit M.: Field of definition and Galois orbits for the Macbeath--Hurwitz curves. Arch. Math. 74, 342--349 (2000) Riemann surfaces; Weierstrass points; gap sequences, Relevant commutative algebra, 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 Peraire R., J. Algebra 196 pp 114-- (1997) Singularities of curves, local rings, Computational aspects of algebraic curves, 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 Streit, Manfred, Homology, Belyĭ\ functions and canonical curves, Manuscripta Math., 90, 4, 489-509, (1996) Riemann surfaces; Weierstrass points; gap sequences, Birational automorphisms, Cremona group and generalizations, Differentials on 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 Syzygies, resolutions, complexes and commutative rings, Software, source code, etc. for problems pertaining to commutative algebra, Special divisors on curves (gonality, Brill-Noether theory), Computational aspects of algebraic curves, Projective and enumerative 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 Applications to coding theory and cryptography of arithmetic geometry, Computational aspects of algebraic curves, Cryptography, 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 Gao, X S; Chou, S C, On the parameterization of algebraic curves, Journal of Applicable Algebra in Engineering, Communication and Computing, 3, 27-3, (1992) Computational aspects of algebraic curves, Plane and space curves, Computational aspects of algebraic surfaces, Hypersurfaces and algebraic geometry, 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 Cho, B., Koo, J.K., Park, Y.K.: On the Ramanujan's cubic continued fraction as modular function (submitted) Continued fraction calculations (number-theoretic aspects), Holomorphic modular forms of integral weight, Class field theory, Algebraic numbers; rings of algebraic integers, 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 Sarlabous, J. Estrada; Barreiro, E. Reinaldo; Barceló, J. A. Piñeiro: On the Jacobian varieties of Picard curves: explicit addition law and algebraic structure. Math. nachr. 208, 149-166 (1999) Computational aspects of algebraic curves, Jacobians, Prym varieties, Computational aspects of 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 Klyachko, A.; Kurtaran, E.: Some identities and asymptotics for characters of the symmetric group. J. algebra 206, 413-437 (1998) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Representations of finite symmetric groups, Combinatorial aspects of representation 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, 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 T.~Napier, M.~Ramachandran: {\em An Introduction to Riemann Surfaces}, Springer (2011). DOI 10.1007/978-0-8176-4693-6; zbl 1237.30001; MR3014916 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Harmonic functions on Riemann surfaces, Differentials on Riemann surfaces, Conformal metrics (hyperbolic, Poincaré, distance functions), Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, 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 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces; Weierstrass points; gap sequences, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Computer graphics; computational geometry (digital and algorithmic aspects), Computational aspects of algebraic curves, Numerical aspects of computer graphics, image analysis, and computational geometry, Symbolic computation and algebraic computation
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Cryptography, Quantum algorithms and complexity in the theory of computing, Complexity classes (hierarchies, relations among complexity classes, etc.), Quantum computation, Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Applications to coding theory and cryptography of arithmetic geometry, Quantum cryptography (quantum-theoretic aspects)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves D. Moody, The Diffie-Hellman problem and generalization of Verheul's theorem, PhD thesis, Univ. of Washington, 2009. Elliptic curves, Curves over finite and local fields, Finite ground fields in algebraic geometry, Computational aspects of algebraic curves, Algebraic coding theory; cryptography (number-theoretic aspects)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Orlando Villamayor U., Introduction to the algorithm of resolution, Algebraic geometry and singularities (La Rábida, 1991) Progr. Math., vol. 134, Birkhäuser, Basel, 1996, pp. 123 -- 154. Global theory and resolution of singularities (algebro-geometric 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 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 Deligne, P.: Preuve des conjectures de Tate et de Shafarevitch (d'après G. Faltings). (French) Proof of the Tate and Shafarevich conjectures (after G. Faltings). Seminar Bourbaki, vol. 1983/84, pp. 25-41. Astérisque No. 121-122 (1985) Elliptic curves over global fields, Elliptic curves, Computational aspects of algebraic curves, Arithmetic ground fields for 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, 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 Kilger, K., Weierstrass points on \(X_0(p l)\) and arithmetic properties of Fourier coefficients of cusp forms, Ramanujan J., 17, 321-330, (2008) Riemann surfaces; Weierstrass points; gap sequences, Holomorphic modular forms of integral weight, Fourier coefficients of automorphic forms, Arithmetic aspects of modular and Shimura 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 Seppälä, M.: Computation of period matrices of real algebraic curves. Discrete comput. Geom. 11, No. 1, 65-81 (1994) Computational aspects of algebraic curves, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Special algebraic curves and curves of low genus, Symbolic computation and algebraic computation, 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 Computational aspects of algebraic curves, Singularities of curves, local rings
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Miret, J.M.; Moreno, R.; Pujolàs, J.; Rio, A., Halving for the 2-Sylow subgroup of genus 2 curves over binary fields, Finite fields appl., 15, 5, 569-579, (2009) Curves over finite and local fields, Jacobians, Prym varieties, Computational aspects of algebraic curves, Finite 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 (Langer, U.; Paule, P., Numerical and symbolic scientific computing, (2011), Springer Vienna (Austria)) Proceedings, conferences, collections, etc. pertaining to numerical analysis, Proceedings, conferences, collections, etc. pertaining to computer science, Software, source code, etc. for problems pertaining to numerical analysis, Collections of articles of miscellaneous specific interest, Symbolic computation and algebraic computation, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Jean-Marc Couveignes and François Morain, Schoof's algorithm and isogeny cycles, Algorithmic number theory (Ithaca, NY, 1994) Lecture Notes in Comput. Sci., vol. 877, Springer, Berlin, 1994, pp. 43 -- 58. Computational aspects of algebraic curves, Rational points, Finite ground fields in 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 [GMS] Götz, M., Maymeskul, V. V. \& Saff, E.B., Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \$\$ \{\(\backslash\)mathbb\{R\}\^2\} \$\$ . Constr. Approx., 18 (2002), 255--283. Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Proceedings, conferences, collections, etc. pertaining to functions of a complex variable, Varieties and morphisms, Multidimensional problems, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, 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 Gromadzki, G., Izquierdo, M.: Real forms of a Riemann surface of even genus. Proc. Am. Math. Soc. 126(12), 3475--3479 (1998) Braid groups; Artin groups, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Hyperbolic and elliptic geometries (general) and generalizations, Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces, Topology of real algebraic varieties, Generators, relations, and presentations of groups
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Singularities in algebraic geometry, Complex surface and hypersurface singularities, Computational aspects of algebraic curves, Singularities of surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Plane and space curves, Computational aspects of algebraic curves, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Amariti, A.; Orlando, D.; Reffert, S., Line operators from M-branes on compact Riemann surfaces, (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Riemann surfaces; Weierstrass points; gap sequences, Kaluza-Klein and other higher-dimensional theories
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Diaz, S., Tangent spaces in moduli via deformations with applications to Weierstrass points, Duke Math. J., 51, 905-922, (1984) Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Formal methods and deformations 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.; Winkler, F.: Real parametrization of algebraic curves, artificial intelligence and symbolic computation. (1998) Computational aspects of algebraic curves, Arithmetic ground fields for curves, Symbolic computation and algebraic computation, 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 Lesfari, A., Prym Varieties and Applications, J. Geom. Phys., 2008, vol. 58, no. 9, pp. 1063--1079. Computational aspects of algebraic curves, Jacobians, Prym varieties, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Assi, A; Barile, M, Effective construction of irreducible curve singularities, Int. J. Math. Comp. Sci., 1, 125-149, (2006) Singularities of curves, local rings, Singularities in algebraic geometry, Equisingularity (topological and analytic), 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 D. Eisenbud, J. Harris, Limit linear series: basic theory. \textit{Invent. Math.}\textbf{85} (1986), 337-371. Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Formal methods and deformations in algebraic geometry, 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/BF01265343 Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Families, moduli of curves (algebraic), Rational and unirational varieties, 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 Polynomials, factorization in commutative rings, Real algebraic sets, 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 Amasaki, M.: Generators of graded modules associated with linear filter-regular sequences. J. pure appl. Algebra 114, 1-23 (1996) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials, 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 H. Itoyama and A. Morozov, \textit{Prepotential and the Seiberg-Witten theory}, \textit{Nucl. Phys.}\textbf{B 491} (1997) 529 [hep-th/9512161] [INSPIRE]. Applications of compact analytic spaces to the sciences, Supersymmetric field theories in quantum mechanics, Structure of families (Picard-Lefschetz, monodromy, etc.), Riemann surfaces; Weierstrass points; gap sequences, Yang-Mills and other gauge theories in quantum field theory, 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, Computer graphics; computational geometry (digital and algorithmic aspects), Computer science aspects of computer-aided design, Symbolic computation and algebraic computation
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Bujalance, E.; Costa, A. F.; Gamboa, J. M.: Real parts of complex algebraic curves. Lecture notes in math. 1420, 81-110 (1990) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Topology of real algebraic varieties, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Other geometric groups, including crystallographic groups, Curves 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 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, 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 Bujalance, E., Cirre, F.J., Conder, M.: On extendability of group actions on compact Riemann surfaces. Trans. Amer. Math. Soc. \textbf{355}(4), 1537-1557 (2003) (electronic) Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Other groups related to topology or analysis
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Leonardo Zapponi, The arithmetic of prime degree trees, Int. Math. Res. Not. 4 (2002), 211 -- 219. Coverings of curves, fundamental group, Arithmetic algebraic geometry (Diophantine geometry), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois 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 Harder, Günter, Lectures on Algebraic Geometry I, (2011), Vieweg+Teubner: Vieweg+Teubner Heidelberg, Germany Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences, Analytic theory of abelian varieties; abelian integrals and differentials
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Elliptic functions and integrals
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Thành, L. V.; Steenbrink, J.: Le spectre d'une singularité d'un germe de courbe plane. Acta math. Vietnam 14, 87-94 (1989) Singularities of curves, local rings, Singularities 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 Riemann surfaces; Weierstrass points; gap sequences
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Riemann surfaces; Weierstrass points; gap sequences, Applications to coding theory and cryptography of arithmetic geometry, Cryptography
| 0
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Software, source code, etc. for problems pertaining to algebraic geometry, Computational aspects of algebraic curves, Geometric aspects of numerical algebraic geometry, Interval and finite arithmetic
| 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, Coverings of curves, fundamental group
| 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
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves D. Korotkin, Introduction to the functions on compact Riemann surfaces and theta-functions, in: D. Wojcik and J. Cieslinski (eds.), Nonlinearity and Geometry, Polish Scient. Publ. PWN, Warsaw, 1998, pp. 109--139; Preprint arXiv:solv-int/9911002. Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, 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 Rodríguez, J.: Some Results on Abelian Groups of Automorphisms of Compact Riemann Surfaces, Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces, pp. 283-297. Contemp. Math., vol. 629. Amer. Math. Soc., Providence (2014) Software, source code, etc. for problems pertaining to manifolds and cell complexes, 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 David Cox, Curves, surfaces, and syzygies, Topics in algebraic geometry and geometric modeling, Contemp. Math., vol. 334, Amer. Math. Soc., Providence, RI, 2003, pp. 131 -- 150. Computational aspects of algebraic surfaces, Syzygies, resolutions, complexes and commutative rings, Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Kang, E; Kim, SJ, A Weierstrass semigroup at a pair of inflection points on a smooth plane curve, Bull Korean Math. Soc., 44, 369-378, (2007) 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
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves [5] E. Girondo and G. Gonz'alez-Diez, A note on the action of the absolute Galois group on dessins,Bull. London Math. Soc.39 No. 5 (2007), 721--723, 10.1112/blms/bdm035. Riemann surfaces; Weierstrass points; gap sequences, Galois theory, 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 Kinematics of mechanisms and robots, Euclidean geometries (general) and generalizations, 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 Shaska T., ''Determining the automorphism group of a hyperelliptic curve,'' in: Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation, ACM Press, New York, 2003, pp. 248--254. Symbolic computation and algebraic computation, Families, moduli of curves (algebraic), Automorphisms of curves, Computational aspects of algebraic curves, Infinite automorphism groups
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Cristea, LL; Steinsky, B, Curves of infinite length in \(4\times 4\)-labyrinth fractals, Geom. Dedicata, 141, 1-17, (2009) Fractals, Computational aspects of algebraic curves, Continuity and differentiation questions, Length, area, volume, other geometric measure theory, Length, area and volume 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 Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces, Coverings of curves, fundamental group
| 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 Numerical computation of solutions to systems of equations, 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, 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 Enrico Arbarello, On subvarieties of the moduli space of curves of genus \? defined in terms of Weierstrass points, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 15 (1978), no. 1, 3 -- 20 (English, with Italian summary). Families, moduli of curves (analytic), Ramification problems in algebraic geometry, Coverings of curves, fundamental group, Fine and coarse moduli spaces, 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 Horiuchi, R. and Tanimoto, T. Fixed points of automorphisms of compact Riemann surfaces and higher-order Weierstrass points. Proc. Amer. Math. Soc. 105, (1989), 856--860 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 Lercier, R.; Ritzenthaler, C.; Sijsling, J., Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent, (ANTS X--Proceedings of the Tenth Algorithmic Number Theory Symposium. ANTS X--Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Ser., vol. 1, (2013), Math. Sci. Publ.: Math. Sci. Publ. Berkeley, CA), 463-486 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, Special algebraic curves and curves of low genus
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves W. Müller, M. Schmidt, and R. Schrader, Theta functions for infinite period matrices , Internat. Math. Res. Notices (1996), no. 12, 565-587. Theta functions and abelian varieties, KdV equations (Korteweg-de Vries equations), Riemann surfaces; Weierstrass points; gap sequences, Period matrices, variation of Hodge structure; degenerations
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Bauer, S., Parabolic bundles, elliptic surfaces and \(\operatorname{SU}(2)\)-representation spaces of genus zero Fuchsian groups, Math. ann., 290, 3, 509-526, (1991), MR 1116235 Vector bundles on curves and their moduli, Fuchsian groups and their generalizations (group-theoretic aspects), Fuchsian groups and automorphic functions (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 Cohen-Macaulay modules, Enumerative problems (combinatorial problems) in algebraic geometry, Curves in algebraic geometry, Computational aspects of algebraic curves, Directed graphs (digraphs), tournaments
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves R. Lercier and C. Ritzenthaler, Invariants and reconstructions for genus 2 curves in any characteristic, 2008; available in Magma 2.15 and later. [37] R. Lercier and C. Ritzenthaler, Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects, J. Algebra 372 (2012), 595--636. [38] R. Lercier, C. Ritzenthaler, F. Rovetta, and J. Sijsling, Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields, LMS J. Comput. Math. 17 (2014), suppl. A, 128--147. [39] R. Lercier, C. Ritzenthaler, and J. Sijsling, Fast computation of isomorphisms of hyperelliptic curves and explicit descent, in: E. W. Howe and K. S. Kedlaya (eds.), ANTS X--Proc. Tenth Algorithmic Number Theory Symposium, Math. Sci. Publ., Berkeley, CA, 2013, 463--486. Computational aspects of algebraic curves, Actions of groups on commutative rings; invariant theory, Families, moduli of curves (algebraic), 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 Computer graphics; computational geometry (digital and algorithmic aspects), Computational aspects of algebraic curves, Computer-aided design (modeling of curves and surfaces)
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Pimentel, F, Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1, 2, \dots , g-2, {\lambda }, 2g-3\), J. Algebra, 276, 280-291, (2004) Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Shor, Caleb M., Higher-order Weierstrass weights of branch points on superelliptic curves, (Malmendier, A.; Shaska, T., Algebraic curves and their fibrations in mathematical physics and arithmetic geometry, Contemp. math., (2017), Amer. Math. Soc.), to appear 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 Carvalho C.: On \({\mathcal V}\)-Weiertsrass sets and gaps. J. Algebra \textbf{312}, 956-962 (2007). 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, Computer science aspects of computer-aided design, Numerical interpolation, 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 Sakkalis T.: The topological configuration of a real algebraic curve. Bull. Aust. Math. Soc. 43, 37--50 (1991) Topology of real algebraic varieties, Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Special algebraic curves and curves of low genus, Topological properties 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 10.3836/tjm/1219844828 Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Rationality questions 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 Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J.: Computing the topology of three-dimensional algebraic curves. Computational methods for algebraic spline surfaces, 27-43 (2003) Computational aspects of algebraic curves, 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 Computational aspects of algebraic curves, Singularities of curves, local rings, Plane and space 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. C. Eilbeck, V. Z. Enolskii, and D. V. Leykin, ''On the Kleinian Construction of Abelian Functions of Canonical Algebraic Curves,'' in SIDE III: Symmetries and Integrability of Difference Equations: Proc. Conf., Sabaudia, Italy, 1998 (Am. Math. Soc., Providence, RI, 2000), CRM Proc. Lect. Notes 25, pp. 121--138. Jacobians, Prym varieties, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Riemann surfaces; Weierstrass points; gap sequences, KdV equations (Korteweg-de Vries 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 Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group
| 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 Bonelli, G.; Maruyoshi, K.; Tanzini, A., Quantum Hitchin Systems via \({\beta}\)-Deformed Matrix Models, Commun. Math. Phys., 358, 1041, (2018) Quantization in field theory; cohomological methods, Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences
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