Yohsuke Imagi

collaborators

4 papers

math.DG2026

Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities

Yohsuke Imagi

Let X be a compact special Lagrangian submanifold with isolated conical singularities, and let there exist local smoothings of these singularities. It is then known that under cert…

math.AG2025

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…

math.SG2025

Nearby Special Lagrangians

Mohammed Abouzaid, Yohsuke Imagi

Let $X$ be a Calabi--Yau manifold and $Q \subset X$ a closed connected embedded special Lagrangian; closed Lagrangians mean compact Lagrangian submanifolds without boundary. We prov…

math.AG2025

Deformations of Compact Calabi--Yau Conifolds

Yohsuke Imagi

Let $X$ be a compact normal KÃ¤hler space whose canonical sheaf is a rank-one free $O_{X}$ module and whose singularities are isolated, rational and quasi-homogeneous. We pr…