On the minimal model program for projective varieties with pseudo-effective tangent sheaf
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866910258715164672 |
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| author | Matsumura, Shin-ichi |
| author_facet | Matsumura, Shin-ichi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09109 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the minimal model program for projective varieties with pseudo-effective tangent sheaf Matsumura, Shin-ichi Algebraic Geometry Complex Variables Differential Geometry 14E30 (Primary), 53C25, 32J25 (Secondary) 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. |
| title | On the minimal model program for projective varieties with pseudo-effective tangent sheaf |
| topic | Algebraic Geometry Complex Variables Differential Geometry 14E30 (Primary), 53C25, 32J25 (Secondary) |
| url | https://arxiv.org/abs/2211.09109 |