Mixed Hodge structures and E-polynomials
DOI:
https://doi.org/10.15517/0ak77e66Keywords:
E-polynomials, Hodge polynomials, Mixed Hodge structures, Moduli spacesAbstract
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.
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Copyright (c) 2026 Allan F. Murillo Badilla (Autor/a)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Revista de Matemática: Teoría y Aplicaciones by Universidad de Costa Rica is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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