Smoothings of Fano Varieties with Normal Crossing Singularities
Date
2015Source
Proceedings of the Edinburgh Mathematical SocietyVolume
58Issue
3Pages
787-806Google Scholar check
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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. © Edinburgh Mathematical Society 2015.