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Mumford-Tate groups of polarizable Hodge structures (1302.1803v2)
Published 7 Feb 2013 in math.AG and math.NT
Abstract: 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.