English

On Massey products and Rational homogeneous varieties

Algebraic Geometry 2020-12-14 v1

Abstract

We study the equivalence between infinitesimal Torelli theorem for smooth hypersurfaces in rational homogeneous varieties with Picard number one and the theory of generalized Massey products. This equivalence shows that the differential of the period map vanishes on an infinitesimal deformation if and only if certain twisted differential forms are elements of the Jacobian ideal of the hypersurface. We also prove an infinitesimal Torelli theorem result for smooth hypersurfaces in log parallelizable varieties.

Keywords

Cite

@article{arxiv.2012.06375,
  title  = {On Massey products and Rational homogeneous varieties},
  author = {Luca Rizzi},
  journal= {arXiv preprint arXiv:2012.06375},
  year   = {2020}
}

Comments

28 pages