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arXiv:1208.5453 [math.AG]AbstractReferencesReviewsResources

Schubert varieties as variations of Hodge structure

C. Robles

Published 2012-08-27, updated 2012-10-25Version 3

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).

Comments: v3: typos corrected
Categories: math.AG, math.DG
Subjects: 14M15, 14D07, 32G20
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