Stability and certain Pn -functors

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Authors

  • Fabian Reede

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Details

Original languageEnglish
Article number42
JournalResearch in Mathematical Sciences
Volume10
Issue number4
Early online date3 Oct 2023
Publication statusPublished - Dec 2023

Abstract

Let X be a K3 surface. We prove that Addington’s P n -functor between the derived categories of X and the Hilbert scheme of points X [ k ] maps stable vector bundles on X to stable vector bundles on X [ k ] , given some numerical conditions are satisfied.

Keywords

    Hilbert schemes, Integral functors, Stable sheaves

ASJC Scopus subject areas

Cite this

Stability and certain Pn -functors. / Reede, Fabian.
In: Research in Mathematical Sciences, Vol. 10, No. 4, 42, 12.2023.

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

Reede, F 2023, 'Stability and certain Pn -functors', Research in Mathematical Sciences, vol. 10, no. 4, 42. https://doi.org/10.48550/arXiv.2206.04578, https://doi.org/10.1007/s40687-023-00405-y
Reede, F. (2023). Stability and certain Pn -functors. Research in Mathematical Sciences, 10(4), Article 42. https://doi.org/10.48550/arXiv.2206.04578, https://doi.org/10.1007/s40687-023-00405-y
Reede F. Stability and certain Pn -functors. Research in Mathematical Sciences. 2023 Dec;10(4):42. Epub 2023 Oct 3. doi: 10.48550/arXiv.2206.04578, 10.1007/s40687-023-00405-y
Reede, Fabian. / Stability and certain Pn -functors. In: Research in Mathematical Sciences. 2023 ; Vol. 10, No. 4.
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N1 - Funding Information: I thank Ziyu Zhang for many useful discussions. I am also grateful to the anonymous referees who helped to improve the presentation of the manuscript greatly.

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