Abundance for slc surfaces over arbitrary fieldsArticle
Authors: 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.
Moduli spaces of stable varieties and applications; Funder: European Commission; Code: 804334
Bibliographic References
1 Document citing this article
Lingyao Xie;Qingyuan Xue, 2023, On the Termination of the MMP for Semistable Fourfolds in Mixed Characteristic, The Michigan Mathematical Journal, -1, -1, 10.1307/mmj/20216172.