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

epiga:10337 - Épijournal de Géométrie Algébrique, November 27, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.10337
On the minimal model program for projective varieties with pseudo-effective tangent sheafArticle

Authors: Shin-ichi Matsumura

    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.

    Comment: completely revised version, 13 pages

    https://doi.org/10.46298/epiga.2023.10337
    Source: arXiv.org:2211.09109
    Volume: Volume 7
    Published on: November 27, 2023
    Accepted on: August 16, 2023
    Submitted on: November 21, 2022
    Keywords: Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Mathematics - Differential Geometry, 14E30 (Primary), 53C25, 32J25 (Secondary)
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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