Graded matrix factorizations of size two and reduction

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Wolfgang Ebeling
  • Atsushi Takahashi

Organisationseinheiten

Externe Organisationen

  • Osaka University
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Details

OriginalspracheEnglisch
Seiten (von - bis)409–425
Seitenumfang17
FachzeitschriftManuscripta Mathematica
Jahrgang170
Ausgabenummer3-4
Frühes Online-Datum29 Jan. 2022
PublikationsstatusVeröffentlicht - März 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.

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Graded matrix factorizations of size two and reduction. / Ebeling, Wolfgang; Takahashi, Atsushi.
in: Manuscripta Mathematica, Jahrgang 170, Nr. 3-4, 03.2023, S. 409–425.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ebeling W, Takahashi A. Graded matrix factorizations of size two and reduction. Manuscripta Mathematica. 2023 Mär;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 ; Jahrgang 170, Nr. 3-4. S. 409–425.
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