Half twists of Hodge structures of CM-type

Details Half twists of Hodge structures of CM-type Half twists of Hodge structures of CM-type

2000-08-10

arxiv.org/abs/math/0008076v1

Mathematics

Algebraic Geometry

16 pages. To appear in: Journal of the Mathematical Society of Japan

Scientific paper

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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