The Lefschetz standard conjectures for 4d-dimensional Kummer-type hyper-Kaehler varieties

Abstract

We prove the Lefschetz standard conjectures for 4d-dimensional projective varieties of generalized Kummer deformation type. Along the way, we prove a generalization of a theorem of Buchweitz and Flenner in the analytic setting

arXiv comment47 pages. The contingency condition on the main theorem has been dropped. Latter sections have been reworked in light of new results. Comments welcome!