Extensions of Formal Hodge Structures
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arXiv
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866916348624371712 |
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| author | Mazzari, Nicola |
| author_facet | Mazzari, Nicola |
| contents | We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level $\le n$ following the ideas of L. Barbieri-Viale who discussed the case of level $\le 1$. As an application we describe the generalized Albanese variety of Esnault, Srinivas and Viehweg via the group $\Ext^1$ in ${\sf FHS}_n$. This formula generalizes the classical one to the case of proper but non necessarily smooth complex varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0905_1809 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Extensions of Formal Hodge Structures Mazzari, Nicola K-Theory and Homology Algebraic Geometry 14C30 We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level $\le n$ following the ideas of L. Barbieri-Viale who discussed the case of level $\le 1$. As an application we describe the generalized Albanese variety of Esnault, Srinivas and Viehweg via the group $\Ext^1$ in ${\sf FHS}_n$. This formula generalizes the classical one to the case of proper but non necessarily smooth complex varieties. |
| title | Extensions of Formal Hodge Structures |
| topic | K-Theory and Homology Algebraic Geometry 14C30 |
| url | https://arxiv.org/abs/0905.1809 |