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- W2904483548 abstract "Let $X$ be a complex quasi-projective algebraic variety. In this paper we study the mixed Hodge structures of the symmetric products $Sym^{n}X$ when the cohomology of $X$ is given by exterior products of cohomology classes with odd degree. We obtain an expression for the equivariant mixed Hodge polynomials $mu_{X^{n}}^{S_{n}}left(t,u,vright)$, codifying the permutation action of $S_{n}$ as well as its subgroups. This allows us to deduce formulas for the mixed Hodge polynomials of its symmetric products $mu_{Sym^{n}X}left(t,u,vright)$. These formulas are then applied to the case of linear algebraic groups." @default.
- W2904483548 created "2018-12-22" @default.
- W2904483548 creator A5089156628 @default.
- W2904483548 date "2018-12-14" @default.
- W2904483548 modified "2023-09-27" @default.
- W2904483548 title "Hodge-Deligne Polynomials of Symmetric Products of Algebraic Groups" @default.
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- W2904483548 hasPublicationYear "2018" @default.
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