Abundance for slc surfaces over arbitrary fieldsArticle
Auteurs : Quentin Posva
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Quentin Posva
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 present
applications to dlt threefold pairs, and to mixed characteristic families of
surfaces.