Half twists of Hodge structures of CM-type

Bert van GEEMEN

doi:10.2969/jmsj/05340813

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October, 2001 Half twists of Hodge structures of CM-type

Bert van GEEMEN

J. Math. Soc. Japan 53(4): 813-833 (October, 2001). DOI: 10.2969/jmsj/05340813

Abstract

To a Hodge structure $V$ of weight $k$ with CM by a field $K$ we associate Hodge structures $V_{-n/2}$ of weight $k+n$ for $n$ positive and, under certain circumstances, also for $n$ negative. We show that these 'half twists' come up naturally in the KugaSatake varieties of weight two Hodge structures with CM by an imaginary quadratic field.

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Bert van GEEMEN. "Half twists of Hodge structures of CM-type." J. Math. Soc. Japan 53 (4) 813 - 833, October, 2001. https://doi.org/10.2969/jmsj/05340813