Abstract
By Seshadri’s criterion, L is ample if and only if e(L) > 0. Recent interest in Seshadri constants derives on the one hand from their application to adjoint linear systems. In fact, a lower bound on the Seshadri constant of L gives a bound on the number of jets that the adjoint line bundle OX(KX + L) separates (see [2] and [3]). On the other hand, Seshadri constants are very interesting invariants of polarized varieties in their own right. It is this second aspect that we investigate in the present paper. Specifically, consider a smooth surface X ⊂ IP and think of the projective embedding as fixed. We then simply write
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