Details
| Original language | English |
|---|---|
| Pages (from-to) | 814-822 |
| Number of pages | 9 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 44 |
| Issue number | 4 |
| Publication status | Published - Aug 2012 |
Abstract
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Bulletin of the London Mathematical Society, Vol. 44, No. 4, 08.2012, p. 814-822.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Saito duality between Burnside rings for invertible polynomials
AU - Ebeling, Wolfgang
AU - Gusein-Zade, Sabir M.
N1 - Funding Information: The second author was partially supported by the DFG Mercator program (INST 187/490-1), the Russian government grant 11.G34.31.0005, RFBR–10-01-00678, NSh–8462.2010.1 and Simons–IUM fellowship. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2012/8
Y1 - 2012/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84863955096&partnerID=8YFLogxK
U2 - 10.1112/blms/bds014
DO - 10.1112/blms/bds014
M3 - Article
AN - SCOPUS:84863955096
VL - 44
SP - 814
EP - 822
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 4
ER -