Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups
Andr\'e Contiero, Karl-Otto St\"ohr
TL;DR
This paper introduces a method to compute upper bounds on the dimension of moduli spaces for certain algebraic curves characterized by symmetric Weierstrass semigroups.
Contribution
It provides an explicit technique to determine upper bounds for the moduli space dimensions of Gorenstein curves with specified symmetric Weierstrass semigroups.
Findings
Derived explicit upper bounds for moduli space dimensions
Applicable to complete integral Gorenstein curves with symmetric Weierstrass semigroups
Enhances understanding of the structure of these moduli spaces
Abstract
We present an explicit method to produce upper bounds for the dimension of the moduli spaces of complete integral Gorenstein curves with prescribed symmetric Weierstrass semigroups.
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