Examples of smooth components of moduli spaces of stable sheaves

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Fabian Bernhard Reede
  • Ziyu Zhang

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)605-621
Seitenumfang17
FachzeitschriftManuscripta mathematica
Jahrgang165
Ausgabenummer3-4
Frühes Online-Datum29 Juni 2020
PublikationsstatusVeröffentlicht - Juli 2021

Abstract

Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

Zitieren

Examples of smooth components of moduli spaces of stable sheaves. / Reede, Fabian Bernhard; Zhang, Ziyu.
in: Manuscripta mathematica, Jahrgang 165, Nr. 3-4, 07.2021, S. 605-621.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Reede FB, Zhang Z. Examples of smooth components of moduli spaces of stable sheaves. Manuscripta mathematica. 2021 Jul;165(3-4):605-621. Epub 2020 Jun 29. doi: 10.1007/s00229-020-01223-0
Reede, Fabian Bernhard ; Zhang, Ziyu. / Examples of smooth components of moduli spaces of stable sheaves. in: Manuscripta mathematica. 2021 ; Jahrgang 165, Nr. 3-4. S. 605-621.
Download
@article{73eb28aecc9a4f93932ae1bb385ac154,
title = "Examples of smooth components of moduli spaces of stable sheaves",
abstract = "Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.",
author = "Reede, {Fabian Bernhard} and Ziyu Zhang",
year = "2021",
month = jul,
doi = "10.1007/s00229-020-01223-0",
language = "English",
volume = "165",
pages = "605--621",
journal = "Manuscripta mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "3-4",

}

Download

TY - JOUR

T1 - Examples of smooth components of moduli spaces of stable sheaves

AU - Reede, Fabian Bernhard

AU - Zhang, Ziyu

PY - 2021/7

Y1 - 2021/7

N2 - Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

AB - Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complete flat family of stable sheaves on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

UR - http://www.scopus.com/inward/record.url?scp=85087303177&partnerID=8YFLogxK

U2 - 10.1007/s00229-020-01223-0

DO - 10.1007/s00229-020-01223-0

M3 - Article

AN - SCOPUS:85087303177

VL - 165

SP - 605

EP - 621

JO - Manuscripta mathematica

JF - Manuscripta mathematica

SN - 0025-2611

IS - 3-4

ER -