Kuznetsov’s Fano threefold conjecture via Hochschild–Serre algebra

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 the Hochschild-Serre algebra of its Kuznetsov component K u ( Y ) via matrix factorization. As an application, we give a new disproof o...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2024-10, Vol.308 (2), Article 26
Main Authors: Lin, Xun, Zhang, Shizhuo
Format: Article
Language:English
Subjects:
Algebra
Hyperspaces
Mathematics
Mathematics and Statistics
Multiplication
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Summary: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 the Hochschild-Serre algebra of its Kuznetsov component K u ( Y ) via matrix factorization. As an application, we give a new disproof of Kuznetsov’s Fano threefold conjecture.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-024-03586-6