Schubert varieties as variations of Hodge structure
Algebraic Geometry
2012-10-26 v3 Differential Geometry
Abstract
We (1) characterize the Schubert varieties that arise as variations of Hodge structure (VHS); (2) show that the isotropy orbits of the infinitesimal Schubert VHS `span' the space of all infinitesimal VHS; and (3) show that the cohomology classes dual the Schubert VHS form a basis of the invariant characteristic cohomology associated to the infinitesimal period relation (a.k.a. Griffiths transversality).
Keywords
Cite
@article{arxiv.1208.5453,
title = {Schubert varieties as variations of Hodge structure},
author = {C. Robles},
journal= {arXiv preprint arXiv:1208.5453},
year = {2012}
}
Comments
v3: typos corrected