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Smoothings of Fano Varieties With Normal Crossing Singularities

Published online by Cambridge University Press:  10 August 2015

Nikolaos Tziolas*
Affiliation:
Department of Mathematics, University of Cyprus, PO Box 20537 Nicosia 1678, Cyprus (tziolas@ucy.ac.cy)

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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