4 citations · 10 across the 7 of their papers we have counts for
9 papers
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…
On log minimality of weak K-moduli compactifications of Calabi-Yau varieties
Yuji Odaka
For moduli of polarized smooth K-trivial a.k.a., Calabi-Yau varieties in a general sense, we revisit a classical problem of constructing its "weak K-moduli" compactifications which…
Degenerated Calabi-Yau varieties with infinite components, Moduli compactifications, and limit toroidal structures
Yuji Odaka
For any degenerating Calabi-Yau family, we introduce new limit space which we call galaxy, whose dense subspace is the disjoint union of countably infinite open Calabi-Yau varietie…
PL density invariant for type II degenerating K3 surfaces, Moduli compactification and hyperKahler metrics
Yuji Odaka
A protagonist here is a new-type invariant for type II degenerations of K3 surfaces, which is explicit PL (piecewise linear) convex function from the interval with at most 18 non-l…
Polystable log Calabi-Yau varieties and Gravitational instantons
Yuji Odaka
Open Calabi-Yau manifolds and log Calabi-Yau varieties have been broadly studied over decades. Regarding them as "semistable" objects, we propose to consider their good proper subc…
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…