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2022•arXiv (Cornell University)Open access

The Dimension of the Moduli Space of Pointed Algebraic Curves of Low Genus

Jan Stevens

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Abstract

We explicitly compute the moduli space pointed algebraic curves with a given numerical semigroup as Weierstrass semigroup for many cases of genus at most seven and determine the dimension for all semigroups of genus seven.

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What this paper is about

We explicitly compute the moduli space pointed algebraic curves with a given numerical semigroup as Weierstrass semigroup for many cases of genus at most seven and determine the dimension for all semigroups of genus seven.

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Available abstract

We explicitly compute the moduli space pointed algebraic curves with a given numerical semigroup as Weierstrass semigroup for many cases of genus at most seven and determine the dimension for all semigroups of genus seven.

Key concepts: Moduli space, Genus, Moduli of algebraic curves, Mathematics, Dimension (graph theory), Pure mathematics, Algebraic curve, Semigroup

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