Mixed Hodge structures and E-polynomials

 

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Bibliografiske detaljer
Forfatter: Murillo Badilla, Allan F.
Format: artículo original
Status:Versión publicada
Fecha de Publicación:2026
Beskrivelse: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.
País:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Sprog:Inglés
OAI Identifier:oai:portal.revistas.ucr.ac.cr:article/5819
Online adgang:https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/5819
Palabra clave:E-polynomials
Hodge polynomials
Mixed Hodge structures
Moduli spaces
Polinomios E
Polinomios de Hodge
Estructuras de Hodge mixtas
Espacios moduli