English

Global Kodaira Spencer class and Massey products

Algebraic Geometry 2022-10-21 v1

Abstract

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

Keywords

Cite

@article{arxiv.2210.11400,
  title  = {Global Kodaira Spencer class and Massey products},
  author = {Luca Rizzi and Francesco Zucconi},
  journal= {arXiv preprint arXiv:2210.11400},
  year   = {2022}
}

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26 pages