On the locus of curves with an odd subcanonical marked point

2018/04/25 by André Contiero, Contiero, Andre, Aislan Leal Fontes +1 · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Topological and Geometric Data Analysis #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1804.09797

Abstract

We present an explicit construction of a compactification of the locus of smooth curves whose symmetric Weierstrass semigroup at a marked point is odd. The construction is an extension of Stoehr's techniques using Pinkham'sequivariant deformation of monomial curves by exploring syzygies. As an application we prove the rationality of the locus for genus at most six.

Cited by

• On the dimension of the stratum of the moduli of pointed curves by Weierstrass gaps

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