Mumford-Tate groups of polarizable Hodge structures
classification
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math.NT
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groupshodgemumford-tatepolarizablestructuresalonganalogueclassify
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We classify the possible Mumford-Tate groups of polarizable rational Hodge structures. Along the way we deduce a polarized Hodge-theoretic analogue of a conjectural property of motivic Galois groups suggested by Serre.
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