Local complete intersections and Weierstrass points

This work presents a simple proof that the moduli space of complete integral Gorenstein curves with a prescribed symmetric Weierstrass semigroup becomes a weighted projective space, even for fields of positive characteristic, when the associated monomial curve is a local complete intersection.

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Publication Details

Journal
Portugaliae Mathematica
Published
2024-11-08
DOI
https://doi.org/10.4171/pm/2135
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Local complete intersections and Weierstrass points

André Contiero, Sarah Mazzini
Portugaliae Mathematica
Advanced Numerical Analysis Techniques
article

Local complete intersections and Weierstrass points

André Contiero, Sarah Mazzini
article en

Abstract

This work presents a simple proof that the moduli space of complete integral Gorenstein curves with a prescribed symmetric Weierstrass semigroup becomes a weighted projective space, even for fields of positive characteristic, when the associated monomial curve is a local complete intersection.

Portugaliae MathematicaVol. 82(1)
Universidade Federal de Minas Gerais (BR), Universidade Federal de Uberlândia (BR)
Istituto Nazionale di Alta Matematica "Francesco Severi", Abdus Salam International Centre for Theoretical Physics, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Fundação de Amparo à Pesquisa do Estado de Minas Gerais
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Advanced Numerical Analysis Techniques
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