Publications (33)
Collapsing K3 Surfaces and Moduli Compactification
Yuji Odaka, Yoshiki Oshima
This note is a summary of our work [OO] which provides an explicit and global moduli-theoretic framework for the collapsing of Ricci-flat Kahler metrics and we use it to study espe…
Stability theory over toroidal or Novikov type base and Canonical modifications
Yuji Odaka
We set up a generalization of ubiquitous one-parameter families in algebraic geometry and their use for stability theories ([GIT, HL, AHLH]) to families over toric varieties and th…
Testing log K-stability by blowing up formalism
Yuji Odaka, Song Sun
We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results…
Semi-toric and toroidal compactifications as log minimal models, and applications to weak K-moduli
Yuji Odaka
We give a characterization of toroidal (resp., semi-toric) compactifications due to Ash-Mumford-Rapoport-Tai (resp., Looijenga) as log minimal models and apply it to study weak K-m…
Tropical Geometric Compactification of Moduli, I - case -
Yuji Odaka
We compactify the classical moduli variety of compact Riemann surfaces by attaching moduli of (metrized) graphs as boundary. The compactifications do not admit the structure of var…
Compact Moduli Spaces of Del Pezzo Surfaces and Kähler-Einstein metrics
Yuji Odaka, Cristiano Spotti, Song Sun
We prove that the Gromov-Hausdorff compactification of the moduli space of Kahler-Einstein Del Pezzo surfaces in each degree agrees with certain algebro-geometric compactification.…