Details
| Original language | English |
|---|---|
| Pages (from-to) | 519-540 |
| Number of pages | 22 |
| Journal | Arnold Mathematical Journal |
| Volume | 7 |
| Issue number | 4 |
| Early online date | 22 Jun 2021 |
| Publication status | Published - Dec 2021 |
Abstract
There is a strange duality between the quadrangle isolated complete intersection singularities discovered by the first author and Wall. We derive this duality from a variation of the Berglund–Hübsch transposition of invertible polynomials introduced in our previous work about the strange duality between hypersurface and complete intersection singularities using matrix factorizations of size two.
Keywords
- Dolgachev numbers, Gabrielov numbers, Mirror symmetry, Reduction, Singularity, Strange duality
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Arnold Mathematical Journal, Vol. 7, No. 4, 12.2021, p. 519-540.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Strange Duality Between the Quadrangle Complete Intersection Singularities
AU - Ebeling, Wolfgang
AU - Takahashi, Atsushi
N1 - Funding Information: This work has been partially supported by DFG. The second named author is also supported by JSPS KAKENHI Grant number JP16H06337. The authors would like to thank the referees for their useful comments.
PY - 2021/12
Y1 - 2021/12
N2 - There is a strange duality between the quadrangle isolated complete intersection singularities discovered by the first author and Wall. We derive this duality from a variation of the Berglund–Hübsch transposition of invertible polynomials introduced in our previous work about the strange duality between hypersurface and complete intersection singularities using matrix factorizations of size two.
AB - There is a strange duality between the quadrangle isolated complete intersection singularities discovered by the first author and Wall. We derive this duality from a variation of the Berglund–Hübsch transposition of invertible polynomials introduced in our previous work about the strange duality between hypersurface and complete intersection singularities using matrix factorizations of size two.
KW - Dolgachev numbers
KW - Gabrielov numbers
KW - Mirror symmetry
KW - Reduction
KW - Singularity
KW - Strange duality
UR - http://www.scopus.com/inward/record.url?scp=85108677353&partnerID=8YFLogxK
U2 - 10.1007/s40598-021-00181-z
DO - 10.1007/s40598-021-00181-z
M3 - Article
VL - 7
SP - 519
EP - 540
JO - Arnold Mathematical Journal
JF - Arnold Mathematical Journal
SN - 2199-6792
IS - 4
ER -