Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778615 | Advances in Mathematics | 2017 | 61 Pages |
Abstract
Period domains, the classifying spaces for (pure, polarized) Hodge structures, and more generally Mumford-Tate domains, arise as open GR-orbits in flag varieties G/P. We investigate Hodge-theoretic aspects of the geometry and representation theory associated with these flag varieties. In particular, we relate the Griffiths-Yukawa coupling to the variety of lines on G/P (under a minimal homogeneous embedding), construct a large class of polarized GR-orbits in G/P, and compute the associated Hodge-theoretic boundary components. An emphasis is placed throughout on adjoint flag varieties and the corresponding families of Hodge structures of levels two and four.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Matt Kerr, Colleen Robles,