Mixed Hodge structures and E-polynomials

 

Gorde:
Xehetasun bibliografikoak
Egilea: Murillo Badilla, Allan F.
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2026
Deskribapena: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.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Inglés
OAI Identifier:oai:portal.revistas.ucr.ac.cr:article/5819
Sarrera elektronikoa:https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/5819
Gako-hitza:E-polynomials
Hodge polynomials
Mixed Hodge structures
Moduli spaces
Polinomios E
Polinomios de Hodge
Estructuras de Hodge mixtas
Espacios moduli