Monads and Qregularity of odd and even instantons bundles on quadric hypersurfaces

Abstract

Qregularity is a notion of Castelnuovo–Mumford regularity for quadric hypersurfaces introduced in [3]. Here, we give bounds for the Qregularity of bundles arising from a quasi-linear monad. Then, we study the Qregularity of odd and even instantons bundles and we discuss sharpness. These results are the analogous of those on projective spaces for Castelnuovo–Mumford regularity.