Abundance for slc surfaces over arbitrary fields

We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive characteristic. The proof relies on abundance for lc surfaces over abritrary fields, proved by Tanaka, and on the technique of Hacon and Xu to descend semi-ampleness from the normalization. We also presen...

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Bibliographic Details
Main Author: Quentin Posva
Format: Article
Language:English
Published: Association Epiga 2023-02-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/8803/pdf