Holomorphic Bisectional Curvature and Applications to Deformations and Rigidity for Variations of Mixed Hodge Structure
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866913510513967104 |
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| author | Pearlstein, Gregory Peters, Chris |
| author_facet | Pearlstein, Gregory Peters, Chris |
| contents | In this article, we prove a rigidity criterion for period maps of admissible variations of graded-polarizable mixed Hodge structure, and establish rigidity in a number of cases, including families of quasi-projective curves, projective curves with ordinary double points, the complement of the canonical curve in families of Kynev--Todorov surfaces, period maps attached to the fundamental groups of smooth varieties and normal functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_05857 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Holomorphic Bisectional Curvature and Applications to Deformations and Rigidity for Variations of Mixed Hodge Structure Pearlstein, Gregory Peters, Chris Algebraic Geometry Differential Geometry 32G20, 14D07, 14D05 In this article, we prove a rigidity criterion for period maps of admissible variations of graded-polarizable mixed Hodge structure, and establish rigidity in a number of cases, including families of quasi-projective curves, projective curves with ordinary double points, the complement of the canonical curve in families of Kynev--Todorov surfaces, period maps attached to the fundamental groups of smooth varieties and normal functions. |
| title | Holomorphic Bisectional Curvature and Applications to Deformations and Rigidity for Variations of Mixed Hodge Structure |
| topic | Algebraic Geometry Differential Geometry 32G20, 14D07, 14D05 |
| url | https://arxiv.org/abs/2009.05857 |