Details
| Original language | English |
|---|---|
| Pages (from-to) | 823-834 |
| Number of pages | 12 |
| Journal | Journal of the London Mathematical Society |
| Volume | 61 |
| Issue number | 3 |
| Publication status | Published - Jun 2000 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of the London Mathematical Society, Vol. 61, No. 3, 06.2000, p. 823-834.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Strange duality and polar duality
AU - Ebeling, Wolfgang
PY - 2000/6
Y1 - 2000/6
N2 - A relation is described between Arnold's strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. It is shown that this relation continues to hold for the extension of Arnold's strange duality found by C. T. C. Wall and the author. By a method of Ehlers-Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed from the Newton diagram. This method is generalized to the isolated complete intersection singularities embraced in the extended duality. This is used to explain the duality of characteristic polynomials of the monodromy discovered by K. Saito for Arnold's original strange duality and extended by the author to the other cases.
AB - A relation is described between Arnold's strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. It is shown that this relation continues to hold for the extension of Arnold's strange duality found by C. T. C. Wall and the author. By a method of Ehlers-Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed from the Newton diagram. This method is generalized to the isolated complete intersection singularities embraced in the extended duality. This is used to explain the duality of characteristic polynomials of the monodromy discovered by K. Saito for Arnold's original strange duality and extended by the author to the other cases.
UR - http://www.scopus.com/inward/record.url?scp=0034196098&partnerID=8YFLogxK
UR - https://arxiv.org/abs/math/9803066
U2 - 10.1112/S0024610700008851
DO - 10.1112/S0024610700008851
M3 - Article
AN - SCOPUS:0034196098
VL - 61
SP - 823
EP - 834
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 3
ER -