Variations of Hodge structure and orbits in flag varieties


Journal Article

© 2017 Elsevier Inc. 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.

Full Text

Duke Authors

Cited Authors

  • Kerr, M; Robles, C

Published Date

  • July 31, 2017

Published In

Volume / Issue

  • 315 /

Start / End Page

  • 27 - 87

Electronic International Standard Serial Number (EISSN)

  • 1090-2082

International Standard Serial Number (ISSN)

  • 0001-8708

Digital Object Identifier (DOI)

  • 10.1016/j.aim.2017.05.013

Citation Source

  • Scopus