Variations of Hodge structure and orbits in flag varieties
Publication
, Journal Article
Kerr, M; Robles, C
Published in: Advances in Mathematics
July 31, 2017
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.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
July 31, 2017
Volume
315
Start / End Page
27 / 87
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kerr, M., & Robles, C. (2017). Variations of Hodge structure and orbits in flag varieties. Advances in Mathematics, 315, 27–87. https://doi.org/10.1016/j.aim.2017.05.013
Kerr, M., and C. Robles. “Variations of Hodge structure and orbits in flag varieties.” Advances in Mathematics 315 (July 31, 2017): 27–87. https://doi.org/10.1016/j.aim.2017.05.013.
Kerr M, Robles C. Variations of Hodge structure and orbits in flag varieties. Advances in Mathematics. 2017 Jul 31;315:27–87.
Kerr, M., and C. Robles. “Variations of Hodge structure and orbits in flag varieties.” Advances in Mathematics, vol. 315, July 2017, pp. 27–87. Scopus, doi:10.1016/j.aim.2017.05.013.
Kerr M, Robles C. Variations of Hodge structure and orbits in flag varieties. Advances in Mathematics. 2017 Jul 31;315:27–87.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
July 31, 2017
Volume
315
Start / End Page
27 / 87
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics