Deformations of elliptic Calabi--Yau manifolds
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper investigates the characterizations and deformation properties of elliptic Calabi--Yau manifolds, extending previous research and refining theoretical conditions for their smoothness and structure.
Contribution
It provides new insights into the deformation theory of elliptic Calabi--Yau manifolds, removing smoothness constraints and reorganizing existing theorems.
Findings
Characterizations of elliptic Calabi--Yau manifolds refined
Smoothness conditions removed from key theorems
Enhanced understanding of deformation properties
Abstract
The aim of this note is to investigate characterizations and deformations of elliptic Calabi--Yau manifolds, building on earlier works of Wilson and Oguiso. Version 2: References updated and small changes. Version 3: Smoothness conditions removed from several theorems, plus some reorganization. Version 4: Several references added.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory