Milnor-Wood inequality for klt varieties of general type and uniformization
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914868242677760 |
|---|---|
| author | Costantini, Matteo Greb, Daniel |
| author_facet | Costantini, Matteo Greb, Daniel |
| contents | We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singular klt varieties, where the natural fundamental groups to consider are those of smooth loci. Assuming that the rank of the target Lie group is not greater than two, we show that the Toledo invariant satisfies a Milnor-Wood type inequality and we characterize the corresponding maximal representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05586 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Milnor-Wood inequality for klt varieties of general type and uniformization Costantini, Matteo Greb, Daniel Algebraic Geometry Differential Geometry 32Q30, 32M15, 53C35, 14E30, 53C24, 53C43 We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singular klt varieties, where the natural fundamental groups to consider are those of smooth loci. Assuming that the rank of the target Lie group is not greater than two, we show that the Toledo invariant satisfies a Milnor-Wood type inequality and we characterize the corresponding maximal representations. |
| title | Milnor-Wood inequality for klt varieties of general type and uniformization |
| topic | Algebraic Geometry Differential Geometry 32Q30, 32M15, 53C35, 14E30, 53C24, 53C43 |
| url | https://arxiv.org/abs/2308.05586 |