Quadrics and normal generation of line bundles on multiple coverings

Abstract

In this work, a minimally FIIQ divisor on a smooth curve in is defined by an effective divisor which fails to impose independent conditions on quadrics in and all of whose proper subdivisors impose independent conditions on quadrics. Using this notion, we explicitly describe very ample non-special line bundles which fail to be normally generated on a simple -fold covering in terms of line bundles on under some numerical constraints. Furthermore, in case we obtain a concrete classification of such line bundles on