Regularity on abelian varieties III: further applications

Abstract

In the present sequel to our previous two papers on regularity on abelian varieties, we give a number of new applications of the theory of $M$-regularity to the study of Seshadri constants, Picard bundles, pluricanonical maps on irregular varieties, and semihomogeneous vector bundles.

20 pages; new section on pluricanonical maps on varieties of maximal Albanese dimension added, mistake in the section on Picard bundles corrected, a few expository changes, some references added