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  Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra

Lin, X., & Zhang, S. (2024). Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra. Mathematische Zeitschrift, 308(2): 26. doi:10.1007/s00209-024-03586-6.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-57FD-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0010-02E5-9
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 Creators:
Lin, Xun1, Author           
Zhang, Shizhuo1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: Let Y be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted projective space P(1,1,1,1,2). We study the multiplication of Hochschild-Serre algebra of its Kuznetsov component Ku(Y), via matrix factorization. As an application, we give a new disproof of Kuznetsov's Fano threefold conjecture. In appendix, we show kernel of differential of period map for special Gushel-Mukai threefold is of two dimensional by categorical methods, which completes a result in \cite[Theorem 7.8]{debarre2008period}.

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Language(s): eng - English
 Dates: 2024
 Publication Status: Issued
 Pages: 12
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 Rev. Type: Peer
 Identifiers: arXiv: 2311.06450
DOI: 10.1007/s00209-024-03586-6
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Title: Mathematische Zeitschrift
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 308 (2) Sequence Number: 26 Start / End Page: - Identifier: -