منابع مشابه
On Weierstrass Points and Optimal Curves
We use Weierstrass Point Theory and Frobenius orders to prove the uniqueness (up to isomorphism) of some optimal curves. This paper continues the study, begun in [FT] and [FGT], of curves over finite fields with many rational points, based on Stöhr-Voloch’s approach [SV] to the Hasse-Weil bound by way of Weierstrass Point Theory and Frobenius orders. Some of the results were announced in [T]. A...
متن کاملOn the Constellations of Weierstrass Points
We prove that the constellation of Weierstrass points characterizes the isomorphism-class of double coverings of curves of genus large enough. 1. Let X be a projective, irreducible, non-singular algebraic curve defined over an algebraically closed field k of characteristic p. Let n ≥ 1 be an integer and CX a canonical divisor of X. The pluricanonical linear system |nCX | defines a nondegenerate...
متن کاملWeierstrass Points and Simple Geodesics
We investigate the set of tangent vectors at a Weierstrass point tangent to complete simple geodesics, which we think of as an innnitesimal version of the Birman Series set, showing that they are a Cantor set of Haus-dorr dimension 1. The gaps in the Cantor set are classiied in terms of the topological behavior of those geodesics tangent to the vector bounding them and deduce 3 new identities f...
متن کاملOn Higher Order Weierstrass Points of the Universal Curve*
Let X denote a compact Riemann surface of genus g. Let K denote the canonical line bundle on X and denote by K n the n-fold tensor power of K. Put dn=dimcH~ Kn)=(2n-1 ) (g -1 )+b ln . At each point P~X, there is a sequence of d, integers 1 = 71 (P) < 72(P) < " " < 7a~(P) < 2 n ( g 1) + 1, called the sequence of n-gaps at P. An integer 7 is an n-gap at P if and only if there exists O~H~ K ~) wit...
متن کاملOn Goppa Codes and Weierstrass Gaps at Several Points
We generalize results of Homma and Kim [2001, J. Pure Appl. Algebra 162, 273–290] concerning an improvement on the Goppa bound on the minimum distance of certain Goppa codes.
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2012
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2012.3711