Relative VGIT and an Application to Degenerations of Hilbert Schemes
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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].
Original language | English |
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Journal | Michigan Mathematical Journal |
Volume | 73 |
Issue number | 1 |
Pages (from-to) | 67-96 |
ISSN | 0026-2285 |
DOIs | |
Publication status | Published - 2023 |
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