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Derived categories of quartic double fivefolds

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

Authors

  • Raymond Cheng
  • Alexander Perry
  • Xiaolei Zhao

Research Organisations

External Research Organisations

  • University of Michigan
  • University of California (UCLA)

Details

Original languageEnglish
Article numberrnaf119
Number of pages21
JournalInternational Mathematics Research Notices
Volume2025
Issue number10
Publication statusPublished - 2025

Abstract

We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds.

Keywords

    math.AG, 14F08, 14E08 (primary), 14M20, 14D06 (secondary)

ASJC Scopus subject areas

Cite this

Derived categories of quartic double fivefolds. / Cheng, Raymond; Perry, Alexander; Zhao, Xiaolei.
In: International Mathematics Research Notices, Vol. 2025, No. 10, rnaf119, 2025.

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

Cheng R, Perry A, Zhao X. Derived categories of quartic double fivefolds. International Mathematics Research Notices. 2025;2025(10):rnaf119. doi: 10.1093/imrn/rnaf119, 10.48550/arXiv.2403.13463
Cheng, Raymond ; Perry, Alexander ; Zhao, Xiaolei. / Derived categories of quartic double fivefolds. In: International Mathematics Research Notices. 2025 ; Vol. 2025, No. 10.
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