Deformations of varieties of general type

2021/01/26 by Kollár, János · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.10986

Abstract

We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera. Version 2: small changes in first half. Improved version of the second half is now a separate preprint (Seshadri's criterion and openness of projectivity). Version 3: Footnote corrects citation on p.4.

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• Deformation of nef adjoint canonical line bundles
• Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case

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