Descent of tautological sheaves from Hilbert schemes to Enriques manifolds

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

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  • Fabian Reede

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OriginalspracheEnglisch
Seiten (von - bis)2095-2109
Seitenumfang15
FachzeitschriftAnnali di Matematica Pura ed Applicata
Jahrgang203
Ausgabenummer5
Frühes Online-Datum15 März 2024
PublikationsstatusVeröffentlicht - Okt. 2024

Abstract

Let \(X\) be a K3 surface which doubly covers an Enriques surface \(S\). If \(n\in\mathbb{N}\) 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\"oer. In this paper we construct slope stable sheaves on \(S_{[n]}\) and study some of their properties.

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Descent of tautological sheaves from Hilbert schemes to Enriques manifolds. / Reede, Fabian.
in: Annali di Matematica Pura ed Applicata, Jahrgang 203, Nr. 5, 10.2024, S. 2095-2109.

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

Reede F. Descent of tautological sheaves from Hilbert schemes to Enriques manifolds. Annali di Matematica Pura ed Applicata. 2024 Okt;203(5):2095-2109. Epub 2024 Mär 15. doi: 10.1007/s10231-024-01437-z
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