Details
| Original language | English |
|---|---|
| Pages (from-to) | 67 - 96 |
| Number of pages | 30 |
| Journal | Michigan mathematical journal |
| Volume | 73 |
| Issue number | 1 |
| Publication status | Published - Mar 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].
Keywords
- math.AG, Primary: 14L24, Secondary: 14D06, 14C05, 14D23
ASJC Scopus subject areas
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In: Michigan mathematical journal, Vol. 73, No. 1, 03.2023, p. 67 - 96.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Relative VGIT and an application to degenerations of Hilbert schemes
AU - Halle, Lars H.
AU - Hulek, Klaus
AU - Zhang, Ziyu
N1 - Publisher Copyright: © 2023 University of Michigan. All rights reserved.
PY - 2023/3
Y1 - 2023/3
N2 - 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].
AB - 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].
KW - math.AG
KW - Primary: 14L24, Secondary: 14D06, 14C05, 14D23
UR - http://www.scopus.com/inward/record.url?scp=85152270284&partnerID=8YFLogxK
U2 - 10.1307/mmj/20205898
DO - 10.1307/mmj/20205898
M3 - Article
VL - 73
SP - 67
EP - 96
JO - Michigan mathematical journal
JF - Michigan mathematical journal
SN - 0026-2285
IS - 1
ER -