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