K-MODULI of CURVES on A QUADRIC SURFACE and K3 SURFACES

Kenneth Ascher, Kristin Devleming, Yuchen Liu

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the K-moduli spaces of log Fano pairs, where C is a curve and their wall crossings coincide with the VGIT quotients of, complete intersection curves in. This, together with recent results by Laza and O'Grady, implies that these K-moduli spaces form a natural interpolation between the GIT moduli space of curves on and the Baily-Borel compactification of moduli of quartic hyperelliptic K3 surfaces.

Original languageEnglish (US)
JournalJournal of the Institute of Mathematics of Jussieu
DOIs
StateAccepted/In press - 2021

Keywords

  • K-moduli
  • K3 surfaces
  • moduli
  • variation of GIT

ASJC Scopus subject areas

  • Mathematics(all)

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