On the non-abelian Hodge locus I
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909980310896640 |
|---|---|
| author | Engel, Philip Tayou, Salim |
| author_facet | Engel, Philip Tayou, Salim |
| contents | We partially resolve conjectures of Deligne and Simpson concerning $\mathbb{Z}$-local systems on quasi-projective varieties that underlie a polarized variation of Hodge structure. For local systems with $\mathbb{Q}$-anisotropic monodromy, we prove (1) a relative form of Deligne's finiteness theorem, for any family of quasi-projective varieties, and (2) algebraicity of the corresponding non-abelian Hodge locus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00943 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the non-abelian Hodge locus I Engel, Philip Tayou, Salim Algebraic Geometry Geometric Topology We partially resolve conjectures of Deligne and Simpson concerning $\mathbb{Z}$-local systems on quasi-projective varieties that underlie a polarized variation of Hodge structure. For local systems with $\mathbb{Q}$-anisotropic monodromy, we prove (1) a relative form of Deligne's finiteness theorem, for any family of quasi-projective varieties, and (2) algebraicity of the corresponding non-abelian Hodge locus. |
| title | On the non-abelian Hodge locus I |
| topic | Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2305.00943 |