Saito duality between Burnside rings for invertible polynomials

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Organisationseinheiten

Externe Organisationen

  • Lomonosov Moscow State University
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Details

OriginalspracheEnglisch
Seiten (von - bis)814-822
Seitenumfang9
FachzeitschriftBulletin of the London Mathematical Society
Jahrgang44
Ausgabenummer4
PublikationsstatusVeröffentlicht - Aug. 2012

Abstract

We give an equivariant version of the Saito duality which can be regarded as a Fourier transformation on Burnside rings. We show that (appropriately defined) reduced equivariant monodromy zeta functions of Berglund-Hübsch dual invertible polynomials are Saito dual to each other with respect to their groups of diagonal symmetries. Moreover we show that the relation between "geometric roots" of the monodromy zeta functions for some pairs of Berglund-Hübsch dual invertible polynomials described in a previous paper is a particular case of this duality.

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Saito duality between Burnside rings for invertible polynomials. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
in: Bulletin of the London Mathematical Society, Jahrgang 44, Nr. 4, 08.2012, S. 814-822.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ebeling W, Gusein-Zade SM. Saito duality between Burnside rings for invertible polynomials. Bulletin of the London Mathematical Society. 2012 Aug;44(4):814-822. doi: 10.1112/blms/bds014
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / Saito duality between Burnside rings for invertible polynomials. in: Bulletin of the London Mathematical Society. 2012 ; Jahrgang 44, Nr. 4. S. 814-822.
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