105 citations · 275 across the 27 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AG2022
Minimization of Arakelov K-energy for many cases
Masafumi Hattori, Yuji Odaka
We prove that for various polarized varieties over , which broadly includes K-trivial case, K-ample case, Fano case, minimal models, certain classes of fibra…
math.AG2022★ 1 cited
Special Lagrangian fibrations, Berkovich retraction, and crystallographic groups
Keita Goto, Yuji Odaka
We explicitly construct special Lagrangian fibrations on finite quotients of maximally degenerating abelian varieties, glue with Berkovich retraction in non-Archimedean geometry by…
math.AG2022
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…