Half twists of Hodge structures of CM-type
Bert van Geemen
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 Kuga-Satake varieties of weight two Hodge structures with CM by an imaginary quadratic field.
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