On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
We prove stability of logarithmic tangent sheaves of singular hypersurfaces $D$ of the projective space with constraints on the dimension and degree of the singularities of $D$. As the main application, we prove that determinants and symmetric determinants have simple (in characteristic zero, stable...
| Autores: | , |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/194704 |
| Acesso em linha: | https://hdl.handle.net/2445/194704 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Teoria de Hodge Geometria algebraica Homologia Hodge theory Algebraic geometry Homology |
| Resumo: | We prove stability of logarithmic tangent sheaves of singular hypersurfaces $D$ of the projective space with constraints on the dimension and degree of the singularities of $D$. As the main application, we prove that determinants and symmetric determinants have simple (in characteristic zero, stable) logarithmic tangent sheaves and we describe an open dense piece of the associated moduli space. |
|---|