Descent of tautological sheaves from Hilbert schemes to Enriques manifolds

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

Authors

  • Fabian Reede

Research Organisations

View graph of relations

Details

Original languageEnglish
Pages (from-to)2095-2109
Number of pages15
JournalAnnali di Matematica Pura ed Applicata
Volume203
Issue number5
Early online date15 Mar 2024
Publication statusPublished - Oct 2024

Abstract

Let X be a K3 surface which doubly covers an Enriques surface S. If n∈N is an odd number, then the Hilbert scheme of n-points X [n] admits a natural quotient S [n]. This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on S [n] and study some of their properties.

Keywords

    math.AG, Moduli spaces, Primary: 14F06, 14D20, 14J28, Secondary: 14F08, Stable sheaves, Enriques manifolds

ASJC Scopus subject areas

Cite this

Descent of tautological sheaves from Hilbert schemes to Enriques manifolds. / Reede, Fabian.
In: Annali di Matematica Pura ed Applicata, Vol. 203, No. 5, 10.2024, p. 2095-2109.

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

Reede F. Descent of tautological sheaves from Hilbert schemes to Enriques manifolds. Annali di Matematica Pura ed Applicata. 2024 Oct;203(5):2095-2109. Epub 2024 Mar 15. doi: 10.1007/s10231-024-01437-z
Download
@article{3f0dcd060d1e4ff0bebc75efe55ca1ad,
title = "Descent of tautological sheaves from Hilbert schemes to Enriques manifolds",
abstract = "Let X be a K3 surface which doubly covers an Enriques surface S. If n∈N is an odd number, then the Hilbert scheme of n-points X [n] admits a natural quotient S [n]. This quotient is an Enriques manifold in the sense of Oguiso and Schr{\"o}er. In this paper we construct slope stable sheaves on S [n] and study some of their properties.",
keywords = "math.AG, Moduli spaces, Primary: 14F06, 14D20, 14J28, Secondary: 14F08, Stable sheaves, Enriques manifolds",
author = "Fabian Reede",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = oct,
doi = "10.1007/s10231-024-01437-z",
language = "English",
volume = "203",
pages = "2095--2109",
journal = "Annali di Matematica Pura ed Applicata",
issn = "0373-3114",
publisher = "Springer Verlag",
number = "5",

}

Download

TY - JOUR

T1 - Descent of tautological sheaves from Hilbert schemes to Enriques manifolds

AU - Reede, Fabian

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/10

Y1 - 2024/10

N2 - Let X be a K3 surface which doubly covers an Enriques surface S. If n∈N is an odd number, then the Hilbert scheme of n-points X [n] admits a natural quotient S [n]. This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on S [n] and study some of their properties.

AB - Let X be a K3 surface which doubly covers an Enriques surface S. If n∈N is an odd number, then the Hilbert scheme of n-points X [n] admits a natural quotient S [n]. This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on S [n] and study some of their properties.

KW - math.AG

KW - Moduli spaces

KW - Primary: 14F06

KW - 14D20

KW - 14J28

KW - Secondary: 14F08

KW - Stable sheaves

KW - Enriques manifolds

UR - http://www.scopus.com/inward/record.url?scp=85187949815&partnerID=8YFLogxK

U2 - 10.1007/s10231-024-01437-z

DO - 10.1007/s10231-024-01437-z

M3 - Article

VL - 203

SP - 2095

EP - 2109

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

SN - 0373-3114

IS - 5

ER -