Completion of a period map of Hodge type $(1, 2, 2, 1)$
Abstract
We give a completion of the period map associated to a variation of polarized Hodge structure arising from a 2-dimensional geometric family that has Hodge type $(1,2,2,1)$. This is the second known example of a completion of a period map that is higher than one dimensional with non-hermitian symmetric Mumford-Tate domain. The completion technique we use is the theory of Kato-Nakayama-Usui spaces, while the calculation of monodromy matrices is done with the help of mirror symmetry.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Advanced Algebra and Geometry
Publication details
- Journal / source
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Volume
- 30
- Issue
- 2
- Pages
- 527–598
- Publication date
- 1 January 2026
- Language
- EN