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Higher cohomology for Anosov actions on certain homogeneous spaces
Higher cohomology Anosov actions certain homogeneous spaces
2011/9/19
Abstract: We study the smooth untwisted cohomology with real coefficients for the action on [SL(2, R) \times \cdot \cdot \cdot \times SL(2, R)]/{\Gamma} by the subgroup of diagonal matrices, where {\G...
Positivity on subvarieties and vanishing of higher cohomology
Positivity on subvarieties vanishing of higher cohomology
2011/1/18
Inspired by the recent paper [14] of Totaro, we investigate the relationship between ampleness
of restrictions of line bundles to general complete intersections and the vanishing properties of higher...