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arxiv: 1203.1500 · v2 · pith:OQ6HS544new · submitted 2012-03-07 · 🧮 math.AG

A rigidity theorem for small resolutions

classification 🧮 math.AG
keywords rigiditysmallsomeapplicationbirationalcalabi-yaucontextcontractions
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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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