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

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Authors

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University
View graph of relations

Details

Original languageEnglish
Title of host publicationSingularities and Computer Algebra
Subtitle of host publicationFestschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday
EditorsWolfram Decker, Gerhard Pfister, Mathias Schulze
PublisherSpringer International Publishing AG
Pages97-108
Number of pages12
Edition1
ISBN (electronic)9783319288291
ISBN (print)9783319288284
Publication statusPublished - 29 Mar 2017

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.

Keywords

    Group actions, Macdonald-type equations, Orbifold euler characteristic, Spectrum

ASJC Scopus subject areas

Cite this

Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday. ed. / Wolfram Decker; Gerhard Pfister; Mathias Schulze. 1. ed. Springer International Publishing AG, 2017. p. 97-108.

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Ebeling, W & Gusein-Zade, SM 2017, Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. in W Decker, G Pfister & M Schulze (eds), Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday. 1 edn, Springer International Publishing AG, pp. 97-108. https://doi.org/10.1007/978-3-319-28829-1_5
Ebeling, W., & Gusein-Zade, S. M. (2017). Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. In W. Decker, G. Pfister, & M. Schulze (Eds.), Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday (1 ed., pp. 97-108). Springer International Publishing AG. https://doi.org/10.1007/978-3-319-28829-1_5
Ebeling W, Gusein-Zade SM. Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. In Decker W, Pfister G, Schulze M, editors, Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday. 1 ed. Springer International Publishing AG. 2017. p. 97-108 doi: 10.1007/978-3-319-28829-1_5
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations. Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday. editor / Wolfram Decker ; Gerhard Pfister ; Mathias Schulze. 1. ed. Springer International Publishing AG, 2017. pp. 97-108
Download
@inbook{2df4c3235f51442092e2a628a163e601,
title = "Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations",
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.",
keywords = "Group actions, Macdonald-type equations, Orbifold euler characteristic, Spectrum",
author = "Wolfgang Ebeling and Gusein-Zade, {Sabir M.}",
year = "2017",
month = mar,
day = "29",
doi = "10.1007/978-3-319-28829-1_5",
language = "English",
isbn = "9783319288284",
pages = "97--108",
editor = "Wolfram Decker and Gerhard Pfister and Mathias Schulze",
booktitle = "Singularities and Computer Algebra",
publisher = "Springer International Publishing AG",
address = "Switzerland",
edition = "1",

}

Download

TY - CHAP

T1 - Higher-order spectra, equivariant Hodge-Deligne polynomials, and Macdonald-type equations

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

PY - 2017/3/29

Y1 - 2017/3/29

N2 - 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.

AB - 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.

KW - Group actions

KW - Macdonald-type equations

KW - Orbifold euler characteristic

KW - Spectrum

UR - http://www.scopus.com/inward/record.url?scp=85020052638&partnerID=8YFLogxK

UR - https://link.springer.com/chapter/10.1007/978-3-319-28829-1_5

UR - http://arxiv.org/abs/1507.08088

U2 - 10.1007/978-3-319-28829-1_5

DO - 10.1007/978-3-319-28829-1_5

M3 - Contribution to book/anthology

AN - SCOPUS:85020052638

SN - 9783319288284

SP - 97

EP - 108

BT - Singularities and Computer Algebra

A2 - Decker, Wolfram

A2 - Pfister, Gerhard

A2 - Schulze, Mathias

PB - Springer International Publishing AG

ER -