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math.AG2000
The modularity of the Barth-Nieto quintic and its relatives
K. Hulek, J. Spandaw, B. van Geemen +1
The moduli space of (1,3)-polarized abelian surfaces with full level-2 structure is birational to a double cover of the Barth-Nieto quintic. Barth and Nieto have shown that these v…
math.AG2000
Half twists and the cohomology of hypersurfaces
Bert van Geemen, Elham Izadi
A Hodge structure V of weight k on which a CM field acts defines, under certain conditions, a Hodge structure of weight k-1, its half twist. In this paper we consider hypersurfaces…
math.AG2000
Half twists of Hodge structures of CM-type
Bert van Geemen
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. W…