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arXiv:2211.09109 [math.AG]AbstractReferencesReviewsResources

On the minimal model program for projective varieties with pseudo-effective tangent sheaf

Shin-ichi Matsumura

Published 2022-11-16Version 1

In this paper, we develop a theory of pseudo-effective sheaves on normal projective varieties. As an application, by running the minimal model program, we show that projective klt varieties with pseudo-effective tangent sheaf can be decomposed into Fano varieties and Q-abelian varieties.

Comments: 16 pages
Categories: math.AG, math.CV, math.DG
Subjects: 32J25, 53C25, 14E30
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