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Smoothings of Fano Varieties With Normal Crossing Singularities

Published online by Cambridge University Press:  10 August 2015

Nikolaos Tziolas
Nikolaos Tziolas*
Affiliation:
Department of Mathematics, University of Cyprus, PO Box 20537 Nicosia 1678, Cyprus ([email protected])
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Abstract

This paper obtains criteria for a Fano variety X defined over an algebraically closed field of characteristic zero with normal crossing singularities to be smoothable. In particular, we show that X is smoothable by a flat deformation X → Δ with smooth total space X if and only if where D is the singular locus of X.

Keywords

algebraic geometryFano varietiessmoothingsnormal crossingPrimary 14D1514D0614J45
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 787 - 806
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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