Strange Duality Between Hypersurface and Complete Intersection Singularities

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Wolfgang Ebeling
  • Atsushi Takahashi

Research Organisations

External Research Organisations

  • Osaka University
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Details

Original languageEnglish
Pages (from-to)277-298
Number of pages22
JournalArnold Mathematical Journal
Volume2
Issue number3
Publication statusPublished - 1 Sept 2016

Abstract

W. Ebeling and C. T. C. Wall discovered an extension of Arnold’s strange duality embracing on one hand series of bimodal hypersurface singularities and on the other, isolated complete intersection singularities. In this paper, we derive this duality from the mirror symmetry and the Berglund–Hübsch transposition of invertible polynomials.

Keywords

    Dolgachev numbers, Gabrielov numbers, Invertible polynomial, Mirror symmetry, Singularity, Strange duality

ASJC Scopus subject areas

Cite this

Strange Duality Between Hypersurface and Complete Intersection Singularities. / Ebeling, Wolfgang; Takahashi, Atsushi.
In: Arnold Mathematical Journal, Vol. 2, No. 3, 01.09.2016, p. 277-298.

Research output: Contribution to journal › Article › Research › peer review

Ebeling, W & Takahashi, A 2016, 'Strange Duality Between Hypersurface and Complete Intersection Singularities', Arnold Mathematical Journal, vol. 2, no. 3, pp. 277-298. https://doi.org/10.1007/s40598-016-0044-8
Ebeling, W., & Takahashi, A. (2016). Strange Duality Between Hypersurface and Complete Intersection Singularities. Arnold Mathematical Journal, 2(3), 277-298. https://doi.org/10.1007/s40598-016-0044-8
Ebeling W, Takahashi A. Strange Duality Between Hypersurface and Complete Intersection Singularities. Arnold Mathematical Journal. 2016 Sept 1;2(3):277-298. doi: 10.1007/s40598-016-0044-8
Ebeling, Wolfgang ; Takahashi, Atsushi. / Strange Duality Between Hypersurface and Complete Intersection Singularities. In: Arnold Mathematical Journal. 2016 ; Vol. 2, No. 3. pp. 277-298.
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