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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Hlavní autor: Quentin Posva
Médium: Článek
Jazyk:English
Vydáno: Association Epiga 2023-02-01
Edice:Épijournal de Géométrie Algébrique
Témata:
On-line přístup:https://epiga.episciences.org/8803/pdf