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Derived equivalence for the simple flop of type [formula omitted] via tilting bundles.

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Title: Derived equivalence for the simple flop of type [formula omitted] via tilting bundles.
Authors: Hara, Wahei1 (AUTHOR) wahei.hara@tokai.ac.jp
Source: Journal of Algebra. Sep2026, Vol. 701, p137-153. 17p.
Subject Terms: *Mathematical singularities, *Vector bundles, *Triangulated categories
Abstract: The aim of this article is to prove the derived equivalence for a local model of the simple flop of type G 2 † , which was found by Kanemitsu [9]. This flop is the only known simple flop that comes from a non-homogeneous roof. The proof of the derived equivalence is done by using tilting bundles, and also produces a noncommutative crepant resolution of the singularity that is derived equivalent to both sides of the flop. [ABSTRACT FROM AUTHOR]
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  Data: Derived equivalence for the simple flop of type [formula omitted] via tilting bundles.
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  Data: *<searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br />*<searchLink fieldCode="DE" term="%22Vector+bundles%22">Vector bundles</searchLink><br />*<searchLink fieldCode="DE" term="%22Triangulated+categories%22">Triangulated categories</searchLink>
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  Data: The aim of this article is to prove the derived equivalence for a local model of the simple flop of type G 2 † , which was found by Kanemitsu [9]. This flop is the only known simple flop that comes from a non-homogeneous roof. The proof of the derived equivalence is done by using tilting bundles, and also produces a noncommutative crepant resolution of the singularity that is derived equivalent to both sides of the flop. [ABSTRACT FROM AUTHOR]
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        Value: 10.1016/j.jalgebra.2026.03.041
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 137
    Subjects:
      – SubjectFull: Mathematical singularities
        Type: general
      – SubjectFull: Vector bundles
        Type: general
      – SubjectFull: Triangulated categories
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      – TitleFull: Derived equivalence for the simple flop of type [formula omitted] via tilting bundles.
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            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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              Value: 701
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