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math.AG2026
Deformations of Compact Calabi--Yau and Fano Varieties with Isolated Singularities
Yohsuke Imagi
Let be a compact log-canonical Kähler -fold, with trivial canonical sheaf and with isolated singularities. We prove that the generic fibres of a semi-universal defo…
math.AG2025
Deformations of Compact Calabi--Yau Conifolds
Yohsuke Imagi
Let be a compact normal Kähler space whose canonical sheaf is a rank-one free module and whose singularities are isolated, rational and quasi-homogeneous. We pro…
math.AG2024
Embedding Theorems for Calabi--Yau Conifolds
Yohsuke Imagi
We prove that compact Calabi--Yau varieties with certain isolated singularities are projective. In dimension 3 we do this by analysis, supposing given conifold metrics. In higher d…