Remarks on families of singular curves with hyperelliptic normalizations

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

18 pages

Scientific paper

We give restrictions on the existence of families of curves on smooth projective surfaces $S$ of nonnegative Kodaira dimension all having constant geometric genus $g \geq 2$ and hyperelliptic normalizations. In particular, we prove a Reider-like result whose proof is ``vector bundle-free'' and relies on deformation theory and bending-and-breaking of rational curves in $\Sym^2(S)$. We also give examples of families of such curves.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Remarks on families of singular curves with hyperelliptic normalizations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on families of singular curves with hyperelliptic normalizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on families of singular curves with hyperelliptic normalizations will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-598650

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.