Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra

Lin, Xun; Zhang, Shizhuo

doi:10.1007/s00209-024-03586-6

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra

MPS-Authors

/persons/resource/persons297048

Lin, Xun
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons289597

Zhang, Shizhuo
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.2311.06450
(Preprint)

https://doi.org/10.1007/s00209-024-03586-6
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2311.06450.pdf
(Preprint), 212KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-000F-57FD-3

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}.