Relative VGIT and an application to degenerations of Hilbert schemes

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

Autoren

  • Lars H. Halle
  • Klaus Hulek
  • Ziyu Zhang

Organisationseinheiten

Externe Organisationen

  • Københavns Universitet
  • University of Shanghai for Science and Technology
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Details

OriginalspracheEnglisch
Seiten (von - bis)67 - 96
Seitenumfang30
FachzeitschriftMichigan mathematical journal
Jahrgang73
Ausgabenummer1
PublikationsstatusVeröffentlicht - März 2023

Abstract

We generalize the classical semicontinuity theorem for GIT (semi)stable loci under variations of linearizations to a relative situation of an equivariant projective morphism X → S over an affine base S. As an application to moduli problems, we consider degenerations of Hilbert schemes and give a conceptual interpretation of the (semi)stable loci of the degeneration families constructed in [GHH19].

ASJC Scopus Sachgebiete

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Relative VGIT and an application to degenerations of Hilbert schemes. / Halle, Lars H.; Hulek, Klaus; Zhang, Ziyu.
in: Michigan mathematical journal, Jahrgang 73, Nr. 1, 03.2023, S. 67 - 96.

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

Halle LH, Hulek K, Zhang Z. Relative VGIT and an application to degenerations of Hilbert schemes. Michigan mathematical journal. 2023 Mär;73(1):67 - 96. doi: 10.1307/mmj/20205898
Halle, Lars H. ; Hulek, Klaus ; Zhang, Ziyu. / Relative VGIT and an application to degenerations of Hilbert schemes. in: Michigan mathematical journal. 2023 ; Jahrgang 73, Nr. 1. S. 67 - 96.
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