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)
Funding:
    Source : OpenAIRE Graph
  • Presépios: A repertoire of puppets, religion and humor in 18th century Portugal; Funder: Fundação para a Ciência e a Tecnologia, I.P.; Code: 2024.13709.PEX

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