Graded matrix factorizations of size two and reduction

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)409–425
Number of pages17
JournalManuscripta Mathematica
Volume170
Issue number3-4
Early online date29 Jan 2022
Publication statusPublished - Mar 2023

Abstract

We associate a complete intersection singularity to a graded matrix factorization of size two of a polynomial in three variables. We show that we get an inverse to the reduction of singularities considered by C.T.C.Wall. We study this for the full strongly exceptional collections in the triangulated category of graded matrix factorizations constructed by H.Kajiura, K.Saito, and the second author.

ASJC Scopus subject areas

Cite this

Graded matrix factorizations of size two and reduction. / Ebeling, Wolfgang; Takahashi, Atsushi.
In: Manuscripta Mathematica, Vol. 170, No. 3-4, 03.2023, p. 409–425.

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

Ebeling W, Takahashi A. Graded matrix factorizations of size two and reduction. Manuscripta Mathematica. 2023 Mar;170(3-4):409–425. Epub 2022 Jan 29. doi: 10.48550/arXiv.2101.05075, 10.1007/s00229-022-01372-4
Ebeling, Wolfgang ; Takahashi, Atsushi. / Graded matrix factorizations of size two and reduction. In: Manuscripta Mathematica. 2023 ; Vol. 170, No. 3-4. pp. 409–425.
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