We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal proper variety X of maximal Albanese dimension satisfies H^0 (X, ₗ) 0. If Alb (X) is in addition ordinary, then S^0 (X, ₗ) 0.
Jefferson Baudin (Thu,) studied this question.