Higher direct images of dualizing sheaves III
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916927207636992 |
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| author | Kollár, János Kovács, Sándor J. |
| author_facet | Kollár, János Kovács, Sándor J. |
| contents | We show that for flat morphisms between varieties with rational singularities, the higher direct images of the structure sheaf are locally free. As a consequence, the identity component of the relative Picard scheme is a smooth algebraic group scheme. v.2. Bhatt pointed out that Lemma 9 was incorrect; it is now replaced. The main theorem is unchanged. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16507 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher direct images of dualizing sheaves III Kollár, János Kovács, Sándor J. Algebraic Geometry We show that for flat morphisms between varieties with rational singularities, the higher direct images of the structure sheaf are locally free. As a consequence, the identity component of the relative Picard scheme is a smooth algebraic group scheme. v.2. Bhatt pointed out that Lemma 9 was incorrect; it is now replaced. The main theorem is unchanged. |
| title | Higher direct images of dualizing sheaves III |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.16507 |