1 citations · 1 across the 5 of their papers we have counts for
5 papers
On Sun-Zhang's theory of Fano fibrations -- weighted volumes, moduli and bubbling Fano fibrations
Yuji Odaka
We revisit the recent theory of Sun-Zhang on general Fano fibration (germs) which emerged from the study of non-compact Kahler-Ricci soliton metrics, primarily from an algebro-geom…
Canonical torus action on symplectic singularities
Yoshinori Namikawa, Yuji Odaka
We show that any symplectic singularity lying on a smoothable projective symplectic variety locally admits a good action of , which is canonical. Under mild assum…
Algebraic geometry of bubbling Kahler metrics
Yuji Odaka
We give an algebro-geometric or non-archimedean framework to study bubbling phenomena of Kahler metrics with Euclidean volume growth, after [DS17, Sun23, dBS23]. In particular, for…
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…
Compact moduli of Calabi-Yau cones and Sasaki-Einstein spaces
Yuji Odaka
We construct proper moduli algebraic spaces of K-polystable -Fano cones (a.k.a. Calabi-Yau cones) or equivalently their links i.e., Sasaki-Einstein manifolds with singu…