The connectedness of degeneracy loci in positive characteristic

A well-known result of Fulton–Lazarsfeld ensures the connectedness of degeneracy loci under an ampleness condition. We extend it to positive characteristic, along with the variants for degeneracy loci of symmetric and alternating maps of even rank, due to Tu in characteristic zero. The proof uses th...

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Bibliographic Details
Main Author: Lodh, Rémi
Format: Article
Language:English
Published: Académie des sciences 2023-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.448/
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