The 2-ranks of Hyperelliptic Curves with Extra Automorphisms

Details The 2-ranks of Hyperelliptic Curves with Extra Automorphisms The 2-ranks of Hyperelliptic Curves with Extra Automorphisms

2006-06-05

arxiv.org/abs/math/0606113v2

Mathematics

Number Theory

arXiv admin note: erroneously posted v2 removed at request of co-authors

Scientific paper

This paper examines the relationship between the automorphism group of a hyperelliptic curve defined over an algebraically closed field of characteristic two and the 2-rank of the curve. In particular, we exploit the wild ramification to use the Deuring-Shafarevich formula in order to analyze the ramification of hyperelliptic curves that admit extra automorphisms and use this data to impose restrictions on the genera and 2-ranks of such curves. We also show how some of the techniques and results carry over to the case where our base field is of characteristic $p>2$.

Affiliated with

Also associated with

No associations

Rating

The 2-ranks of Hyperelliptic Curves with Extra Automorphisms 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 The 2-ranks of Hyperelliptic Curves with Extra Automorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The 2-ranks of Hyperelliptic Curves with Extra Automorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-542148