105 citations · 275 across the 27 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AG2020★ 2 cited
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…
math.AG2020★ 6 cited
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…
math.AG2020★ 4 cited
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…