Weierstrass Points
Mostrando 1-6 de 6 artigos, teses e dissertações.
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1. Sobre o numero de pontos racionais de curvas sobre corpos finitos / On the number of rational points of curves over finite fields
In this work we study upper bounds on the number of rational points of curves over finite fields by using the Stohr-Voloch theory
Publicado em: 2008
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2. Encoding geometric Goppa codes via Grobner basis and codes on Norm-Trace curves / Codificação de certos codigos de Goppa geometricos utilizando a teoria de Bases de Grobner e codigos sobre a curva Norma-Traço
We extend results of Heegard, Little and Saints concerning the Gröbner basis algorithm for one-point Hermitian codes. We work with two-point and n-point Hermitian codes and codes arising from the Norm-Trace curve. We also determine the Weierstrass semigroup at a certain pair of rational points in such curves and uses these computations to improve the lower
Publicado em: 2008
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3. GENUS THREE CURVES IN CHARACTERISTIC TWO / CURVAS DE GENÊRO TRÊS EM CARACTERÍSTICA DOIS
We study the variety M3 of curves of genus three in characteristic two. For each of the curves we compute the possible number of Weierstrass points, their weights, normalizations of many loci in the moduli space, and so on. We also deal with the concept of a Galois point.
Publicado em: 2003
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4. Conjugate points on a limiting extremal
Theorem 1, together with the author's extensions of the Sturmian Comparison Theorems, will suffice to establish the basic Theorem 27.3, p. 211 of Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. Mathematical Notes, Princeton University Press, Princeton, N.J., 1976. Here and in the preceding reference there is given a Weierstrass I
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5. Tubular presentations π of subsets of manifolds
In this note the Weierstrass integral J is taken as L, the Riemann integral of length. Here Mn, n > 1, is a compact, connected manifold of class C∞ with a positive definite Riemann structure. Presentations (φ, Uφ) 𝒟 ∈ Mn and geodesics (with the aid of the Euler-Riemann equations) are defined in Morse, M. (1976) “Global variational analysis: Weiers
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6. F-Deformations and F-Tractions
Let Mn be a compact, connected topological manifold and F a continuous mapping of Mn into R that is “topologically nondegenerate” in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set Fc = {p∈Mn|F(p) ≤ c}. The topological critical points of F on Fc are finite in number and can be related to the invariants of