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Higher-Order Spectra, Equivariant Hodge–Deligne Polynomials, and Macdonald-Type Equations

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Singularities and Computer Algebra

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Abstract

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.

Dedicated to Gert-Martin Greuel on the occasion of his 70th birthday

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Acknowledgements

We would like to thank the anonymous referee for useful comments. This work has been partially supported by DFG (Mercator fellowship, Eb 102/8-1) and RFBR-16-01-00409.

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Authors and Affiliations

  1. Institut für Algebraische Geometrie, Leibniz Universität Hannover, 6009, 30060, Hannover, Germany

    Wolfgang Ebeling

  2. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Leninskie Gory 1, Moscow, 119991, Russia

    Sabir M. Gusein-Zade

Authors
  1. Wolfgang Ebeling
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  2. Sabir M. Gusein-Zade
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Correspondence to Wolfgang Ebeling .

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Editors and Affiliations

  1. Department of Mathematics, TU Kaiserslautern, Kaiserslautern, Germany

    Wolfram Decker

  2. Department of Mathematics, TU Kaiserslautern, Kaiserslautern, Germany

    Gerhard Pfister

  3. Department of Mathematics, TU Kaiserslautern, Kaiserslautern, Germany

    Mathias Schulze

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Ebeling, W., Gusein-Zade, S.M. (2017). Higher-Order Spectra, Equivariant Hodge–Deligne Polynomials, and Macdonald-Type Equations. In: Decker, W., Pfister, G., Schulze, M. (eds) Singularities and Computer Algebra. Springer, Cham. https://doi.org/10.1007/978-3-319-28829-1_5

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