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arXiv · 1208.5453

Schubert varieties as variations of Hodge structure

C. Robles
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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).

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C. Robles. 2012-08-27. Schubert varieties as variations of Hodge structure. https://arxiv.org/abs/1208.5453

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