Normal Functions over Locally Symmetric Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Keast, R., Kerr, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209841
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Normal Functions over Locally Symmetric Varieties / R. Keast, M. Kerr // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 29 назв. — англ.

We classify the irreducible Hermitian real variations of Hodge structure admitting an infinitesimal normal function, and draw conclusions for cycle-class maps on families of abelian varieties with a given Mumford-Tate group.