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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 116, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.116 (Mi sigma1415) 		 
Normal Functions over Locally Symmetric Varieties

Ryan Keasta, Matt Kerrb

a Department of Mathematics, University of Toronto, Toronto, Ontario M5S 2E4, Canada
b Department of Mathematics and Statistics, Washington University in St. Louis, St. Louis, MO 63130, USA
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DOI: https://doi.org/10.3842/SIGMA.2018.116
Abstract: 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.
Keywords: normal function; Hermitian symmetric domain; Mumford–Tate group; variation of Hodge structure; algebraic cycle.
Funding agency Grant number
National Science Foundation DMS-1361147
The authors thank P. Brosnan and G. Pearlstein for helpful discussions, the referees for their careful reading, and gratefully acknowledge support from NSF Grant DMS-1361147. This paper was written while MK was a member at the Institute for Advanced Study, and he thanks the IAS for excellent working conditions and the Fund for Mathematics for financial support.
Received: May 9, 2018; in final form October 22, 2018; Published online October 26, 2018
Bibliographic databases:
Document Type: Article
MSC: 14D07; 14C25; 14M17; 17B45; 32M15; 32G20
Language: English
Citation: Ryan Keast, Matt Kerr, “Normal Functions over Locally Symmetric Varieties”, SIGMA, 14 (2018), 116, 18 pp.
Citation in format AMSBIB
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