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
Acknowledgement
The authors would like to thank Korea Institute for Advanced Study (KIAS) for the warm hospitality when they were visiting there.