Yohsuke Imagi

activity

20112026

most citedUniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m

18 citations · 18 across the 7 of their papers we have counts for

collaborators

11 papers

math.AG2026

Deformations of Compact Calabi--Yau and Fano Varieties with Isolated Singularities

Yohsuke Imagi

Let $X$ be a compact log-canonical Kähler $n$ -fold, $n \geq 3,$ 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 $X$ be a compact normal Kähler space whose canonical sheaf is a rank-one free $O_{X}$ module and whose singularities are isolated, rational and quasi-homogeneous. We pro…

math.DG2025

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.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…

math.SG2021

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.DG2020

Generalized Thomas-Yau Uniqueness Theorems

Yohsuke Imagi

We generalize Thomas-Yau's uniqueness theorem in two ways. We prove a stronger statement for special Lagrangians and include minimal Lagrangians in Kähler-Einstein manifold or more…

math.DG2016

Example of Compact Special Lagrangians with a Stable Singularity

Yohsuke Imagi

We construct a family of compact almost Calabi--Yau manifolds of complex dimension 3 and therein a corresponding family of compact special Lagrangians with one-point singularities…

math.SG2014★ 18 cited

Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m

Yohsuke Imagi, Dominic Joyce, Joana Oliveira dos Santos

We prove two main results: (a) Suppose $L$ is a closed, embedded, exact special Lagrangian $m$ -fold in $C^{m}$ for $m \geq 3$ asymptotic at infinity to the union $Π_{1} \cup Π_{2}$ …

math.DG2011

Surjectivity of a Gluing Construction in Special Lagrangian Geometry

Yohsuke Imagi

This paper is motivated by a relatively recent work by Joyce in special Lagrangian geometry, but the basic idea of the present paper goes back to an earlier pioneering work of Dona…

math.DG2011

A Uniqueness Theorem for Gluing Calibrated Submanifolds

Yohsuke Imagi

`Gluing' is a technique of constructing solutions to non-linear (elliptic) partial differential equations such as Yang--Mills equations, minimal surface equations and Einstein equa…

math.DG2011

A Uniqueness Theorem for Gluing Special Lagrangian Submanifolds

Yohsuke Imagi

Butscher, D. Lee, Y. Lee, and Joyce constructed a special Lagrangian submanifold by gluing a Lawlor neck into a transverse intersection point of two special Lagrangian submanifolds…