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Higher order spectra, equivariant Hodge-Deligne polynomials and Macdonald type equations

We define notions of higher order spectra of a complex quasi-projective manifold with an action of a finite group $G$ and with a $G$-equivariant automorphism of finite order, some of their refinements and give Macdonald type equations for them.

preprint2015arXivOpen access
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