Pluri-cotangent maps of surfaces of general type
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866909685360099328 |
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| author | Polizzi, Francesco Roulleau, Xavier |
| author_facet | Polizzi, Francesco Roulleau, Xavier |
| contents | Let $X$ be a compact, complex surface of general type whose cotangent bundle $Ω_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $ψ_n \colon \mathbb{P}(Ω_X) \to \mathbb{P}(H^0(X, \, S^n Ω_X))$ defined by the vector space of global sections $H^0(X, \, S^n Ω_X)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02412 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Pluri-cotangent maps of surfaces of general type Polizzi, Francesco Roulleau, Xavier Algebraic Geometry 14J29 Let $X$ be a compact, complex surface of general type whose cotangent bundle $Ω_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $ψ_n \colon \mathbb{P}(Ω_X) \to \mathbb{P}(H^0(X, \, S^n Ω_X))$ defined by the vector space of global sections $H^0(X, \, S^n Ω_X)$. |
| title | Pluri-cotangent maps of surfaces of general type |
| topic | Algebraic Geometry 14J29 |
| url | https://arxiv.org/abs/2212.02412 |