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Examples of smooth components of moduli spaces of stable sheaves

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Authors

  • Fabian Bernhard Reede
  • Ziyu Zhang

Research Organisations

Details

Original languageEnglish
Pages (from-to)605-621
Number of pages17
JournalManuscripta mathematica
Volume165
Issue number3-4
Early online date29 Jun 2020
Publication statusPublished - Jul 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.

Cite this

Examples of smooth components of moduli spaces of stable sheaves. / Reede, Fabian Bernhard; Zhang, Ziyu.
In: Manuscripta mathematica, Vol. 165, No. 3-4, 07.2021, p. 605-621.

Research output: Contribution to journalArticleResearchpeer 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 ; Vol. 165, No. 3-4. pp. 605-621.
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