Mathematics – Algebraic Geometry
Scientific paper
2008-04-27
Mathematics
Algebraic Geometry
32 pages
Scientific paper
We prove that the jacobian of a hyperelliptic curve $y^2=(x-t)h(x)$ has no
nontrivial endomorphisms over an algebraic closure of the ground field $K$ of
characteristic zero if $t \in K$ and the Galois group of the polynomial $h(x)$
over $K$ is "very big" and $deg(h)$ is an even number >8. (The case of odd
$deg(h)>3$ follows easily from previous results of the author.)
No associations
LandOfFree
Families of absolutely simple hyperelliptic jacobians 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 Families of absolutely simple hyperelliptic jacobians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Families of absolutely simple hyperelliptic jacobians will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-114350