The Weierstrass Subgroup of a Curve has Maximal Rank [PDF]
, 2005 We show that the Weierstrass points of the generic curve of genus g over an algebraically closed field of characteristic 0 generate a group of maximal rank in the Jacobian. 2000 Mathematics Subject Classification 11G30, 14H40, 14H10, 14H55, 14Q05.
M. Girard, D. Kohel, C. Ritzenthaler
semanticscholar +1 more source
Cyclic projective planes and Wada dessins
Documenta Mathematica, 2001 Bipartite graphs occur in many parts of mathematics, and their embeddings into orientable compact surfaces are an old subject. A new interest comes from the fact that these embeddings give dessins d’enfants providing the surface with a unique structure ...
M. Streit, J. Wolfart
semanticscholar +1 more source
On Weierstra{\ss} semigroups at one and two points and their corresponding Poincar\'e series
, 2011 The aim of this paper is to introduce and investigate the Poincar\'e series associated with the Weierstra{\ss} semigroup of one and two rational points at a (not necessarily irreducible) non-singular projective algebraic curve defined over a finite field,
A. Brill +17 more
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Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices [PDF]
, 2005 In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices.
Komatsu, Toru
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Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II [PDF]
, 2008 2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.A 4-semigroup means a numerical semigroup whose minimum positive integer is 4.
Komeda, Jiryo, Ohbuchi, Akira
core
Chip-firing games on Eulerian digraphs and NP-hardness of computing the rank of a divisor on a graph
, 2015 Baker and Norine introduced a graph-theoretic analogue of the Riemann-Roch theory. A central notion in this theory is the rank of a divisor. In this paper we prove that computing the rank of a divisor on a graph is NP-hard.
Kiss, Viktor, Tóthmérész, Lilla
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An effective Arakelov-theoretic version of the hyperbolic isogeny theorem
, 2015 For an integer $e$ and hyperbolic curve $X$ over $\overline{\mathbb Q}$, Mochizuki showed that there are only finitely many isomorphism classes of hyperbolic curves $Y$ of Euler characteristic $e$ with the same universal cover as $X$.
Javanpeykar, Ariyan
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Weierstrass semigroups on the Giulietti-Korchm\'aros curve
, 2017 In this article we explicitly determine the structure of the Weierstrass semigroups $H(P)$ for any point $P$ of the Giulietti-Korchm\'aros curve $\mathcal{X}$.
Beelen, Peter, Montanucci, Maria
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Intérêts et limites du concept de misogynie en politique [PDF]
, 2015 International ...
Guionnet, Christine
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Observations complémentaires sur les fonctionnements hydrologiques et hydrosédimentaires de la Vallée Obscure (commune de Peyrolles) [PDF]
, 2005 Rapport techniqueCe rapport présente les résultats des suivis limnigraphiques et pluviographiques, campagnes de jaugeages en étiage, traçages dans les sédiments en arrière des tancats, étude des transports solides, relevés cartographiques...
Allignol, Françoise +7 more
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