Normal functions over locally symmetric varieties

Ryan Keast; Matt Kerr

doi:10.3842/SIGMA.2018.116

Normal functions over locally symmetric varieties

Ryan Keast
, Matt Kerr

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	116
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	14
DOIs	https://doi.org/10.3842/SIGMA.2018.116
State	Published - 2018

Keywords

Algebraic cycle
Hermitian symmetric domain
Mumford
Normal function
Tate group
Variation of hodge structure

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10.3842/SIGMA.2018.116

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title = "Normal functions over locally symmetric varieties",

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 = "Algebraic cycle, Hermitian symmetric domain, Mumford, Normal function, Tate group, Variation of hodge structure",

author = "Ryan Keast and Matt Kerr",

year = "2018",

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AU - Kerr, Matt

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KW - Algebraic cycle

KW - Hermitian symmetric domain

KW - Mumford

KW - Normal function

KW - Tate group

KW - Variation of hodge structure

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DO - 10.3842/SIGMA.2018.116

M3 - Article

AN - SCOPUS:85056311475

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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ER -

Normal functions over locally symmetric varieties

Abstract

Keywords

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