A rigidity theorem for small resolutions
Michele Rossi
TL;DR
This paper establishes a rigidity property for the exceptional locus in certain small birational contractions and explores its implications for Calabi-Yau threefolds and the Vacuum Degeneracy Problem.
Contribution
It introduces a new rigidity theorem for small resolutions and applies it to geometric transitions and Calabi-Yau moduli spaces, linking to physical theories.
Findings
Rigidity property of the exceptional locus proven.
Application to geometric transitions in Calabi-Yau threefolds.
Insights into the Vacuum Degeneracy Problem in physics.
Abstract
This paper presents a rigidity property of the exceptional locus of some kind of small birational contractions. An application in the context of geometric transitions and Calabi-Yau threefolds moduli space is then given, with some physical implication in studying the so-called Vacuum Degeneracy Problem.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics