Mixed Hodge structures and E-polynomials
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| Auteur: | |
|---|---|
| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2026 |
| Description: | We provide a self-contained review of mixed Hodge structures (MHS) with a focus on the computation of E-polynomials for complex quasi-projective varieties. We discuss the discrepancy between MHS on diffeomorphic varieties, specifically for the cotangent bundle of an abelian variety. Furthermore, we compute the E-polynomials for S Ln(C) and PGLn(C) and explore the link between these invariants and point-counting over finite fields. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Inglés |
| OAI Identifier: | oai:portal.revistas.ucr.ac.cr:article/5819 |
| Accès en ligne: | https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/5819 |
| Mots-clés: | E-polynomials Hodge polynomials Mixed Hodge structures Moduli spaces Polinomios E Polinomios de Hodge Estructuras de Hodge mixtas Espacios moduli |