Global Kodaira Spencer class and Massey products

Published 20 Oct 2022 in math.AG | (2210.11400v1)

Abstract: We define a new notion of supported global deformation class for a semistable family of complex varieties over a curve $f\colon X\to B$. We use this notion to study when $X$, possibly up to a finite covering, has a generically finite morphism onto a product $B\times Y$ with $Y$ of general type.

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