Stability and certain Pn -functors

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Fabian Reede

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer42
FachzeitschriftResearch in Mathematical Sciences
Jahrgang10
Ausgabenummer4
Frühes Online-Datum3 Okt. 2023
PublikationsstatusVeröffentlicht - Dez. 2023

Abstract

Let \(X\) be a K3 surface. We prove that Addington's \(\mathbb{P}^n\)-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.

ASJC Scopus Sachgebiete

Zitieren

Stability and certain Pn -functors. / Reede, Fabian.
in: Research in Mathematical Sciences, Jahrgang 10, Nr. 4, 42, 12.2023.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Reede, F. (2023). Stability and certain Pn -functors. Research in Mathematical Sciences, 10(4), Artikel 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 Dez;10(4):42. Epub 2023 Okt 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 ; Jahrgang 10, Nr. 4.
Download
@article{d4009c13505c42d0b54cf59ab5f5aa00,
title = "Stability and certain Pn -functors",
abstract = "Let X be a K3 surface. We prove that Addington{\textquoteright}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",
author = "Fabian Reede",
note = "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. ",
year = "2023",
month = dec,
doi = "10.48550/arXiv.2206.04578",
language = "English",
volume = "10",
number = "4",

}

Download

TY - JOUR

T1 - Stability and certain Pn -functors

AU - Reede, Fabian

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.

PY - 2023/12

Y1 - 2023/12

N2 - 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.

AB - 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.

KW - Hilbert schemes

KW - Integral functors

KW - Stable sheaves

UR - http://www.scopus.com/inward/record.url?scp=85173754324&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2206.04578

DO - 10.48550/arXiv.2206.04578

M3 - Article

VL - 10

JO - Research in Mathematical Sciences

JF - Research in Mathematical Sciences

SN - 2522-0144

IS - 4

M1 - 42

ER -