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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2018 Volume 14, 116, 18 pp. (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

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.

MSC: 14D07; 14C25; 14M17; 17B45; 32M15; 32G20

Received: May 9, 2018; in final form October 22, 2018; Published online October 26, 2018

Language: English

DOI: 10.3842/SIGMA.2018.116



Bibliographic databases:
ArXiv: 1503.08355

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