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- W4247377033 abstract "This chapter describes the arithmetic aspects of Mumford-Tate domains and Noether-Lefschetz loci. It first clarifies a few points concerning the structure and construction of Mumford-Tate domains before presenting a computationally effective procedure to determine the components in terms of Lie algebra representations and Weyl groups. It then shows that the normalizers of <italic>M</italic> in <italic>G</italic> are the groups stabilizing the Noether-Lefschetz locus. It also discusses the decomposition of Noether-Lefschetz loci into Hodge orientations, Weyl groups and permutations of Hodge orientations, and Galois groups and fields of definition. The results demonstrate that Mumford-Tate groups built up from well-understood real² factors are one source of easily described examples of Mumford-Tate domains." @default.
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- W4247377033 date "2012-04-22" @default.
- W4247377033 modified "2023-09-28" @default.
- W4247377033 title "Arithmetic Aspects of Mumford-Tate Domains" @default.
- W4247377033 doi "https://doi.org/10.23943/princeton/9780691154244.003.0007" @default.
- W4247377033 hasPublicationYear "2012" @default.
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