REDUCTION TYPES OF GENUS-3 CURVES IN A SPECIAL STRATUM OF THEIR MODULI SPACE - Université de Rennes Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

REDUCTION TYPES OF GENUS-3 CURVES IN A SPECIAL STRATUM OF THEIR MODULI SPACE

Résumé

We study a 3-dimensional stratum M_{3,V} of the moduli space M_3 of curves of genus 3 parameterizing curves Y that admit a certain action of V=C_2 × C_2. We determine the possible types of the stable reduction of these curves to characteristic different from 2. We define invariants for M_{3,V} and characterize the occurrence of each of the reduction types in terms of them. We also calculate the j-invariant (resp. the Igusa invariants) of the irreducible components of positive genus of the stable reduction Y in terms of the invariants.
Fichier principal
Vignette du fichier
Paper.pdf (462.86 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02512861 , version 1 (20-03-2020)

Identifiants

  • HAL Id : hal-02512861 , version 1

Citer

Irene Bouw, Nirvana Coppola, Pinar Kilicer, Sabrina Kunzweiler, Elisa Lorenzo García, et al.. REDUCTION TYPES OF GENUS-3 CURVES IN A SPECIAL STRATUM OF THEIR MODULI SPACE. 2020. ⟨hal-02512861⟩
92 Consultations
169 Téléchargements

Partager

Gmail Facebook X LinkedIn More