Seshadri constants on some blow UPS of Projective Spaces

Abstract

Let [Formula: see text] denote the blow-up of [Formula: see text] along [Formula: see text] general lines and [Formula: see text] general points. In this paper, we focus on [Formula: see text]-very ample line bundles on [Formula: see text] and investigate their Seshadri constants with some restrictions on [Formula: see text]. Additionally, we compute the nef cone of [Formula: see text] for [Formula: see text] and study the Seshadri constants of some ample line bundles on it. We also examine the Seshadri constants of some ample line bundles on [Formula: see text] [Formula: see text] and [Formula: see text] [Formula: see text].