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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.
Received: May 9, 2018; in final form October 22, 2018; Published online October 26, 2018
Citation:
Ryan Keast, Matt Kerr, “Normal Functions over Locally Symmetric Varieties”, SIGMA, 14 (2018), 116, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1415 https://www.mathnet.ru/eng/sigma/v14/p116
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Statistics & downloads: |
Abstract page: | 113 | Full-text PDF : | 26 | References: | 17 |
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