期刊
JOURNAL OF ALGEBRA
卷 612, 期 -, 页码 208-226出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2022.08.021
关键词
Kuga fiber variety; Hodge group; Mumford-Tate group
类别
We complete the classification of Kuga fiber varieties by demonstrating that a multiple of a representation rho, satisfying Satake's necessary conditions, defines a Kuga fiber variety.
We complete Satake's classification of Kuga fiber varieties by showing that if a representation rho of a hermitian algebraic group satisfies Satake's necessary conditions, then some multiple of rho defines a Kuga fiber variety.(c) 2022 Elsevier Inc. All rights reserved.
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