Variation of mixed Hodge structure and its applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915190169141248 |
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| author | Fujino, Osamu Fujisawa, Taro |
| author_facet | Fujino, Osamu Fujisawa, Taro |
| contents | We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Kollár's torsion-free theorem, vanishing theorem, and so on, for reducible complex analytic spaces as an application. The results will play a crucial role in the theory of minimal models for projective morphisms between complex analytic spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00672 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Variation of mixed Hodge structure and its applications Fujino, Osamu Fujisawa, Taro Algebraic Geometry Complex Variables Primary 32L20, Secondary 14D07, 14E30 We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Kollár's torsion-free theorem, vanishing theorem, and so on, for reducible complex analytic spaces as an application. The results will play a crucial role in the theory of minimal models for projective morphisms between complex analytic spaces. |
| title | Variation of mixed Hodge structure and its applications |
| topic | Algebraic Geometry Complex Variables Primary 32L20, Secondary 14D07, 14E30 |
| url | https://arxiv.org/abs/2304.00672 |