Half Twists of Hodge Structures of Cm-type

نویسنده

  • BERT VAN GEEMEN
چکیده

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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تاریخ انتشار 2007