Mathematics – Algebraic Geometry
Scientific paper
2003-11-09
Mathematics
Algebraic Geometry
Minor inaccuracies/typos were corrected. The paper will appear in Bull. Soc. Math. France
Scientific paper
In his previous papers the author proved that in characteristic different from 2 the jacobian J(C) of a hyperelliptic curve C: y^2=f(x) has only trivial endomorphisms over an algebraic closure K_a of the ground field K if the Galois group of the irreducible polynomial f(x) in K[x] is either the full symmetric group S_n or the alternating group A_n. Here n > 8 is the degree of f. The goal of this paper is to extend this result to the case when either n=7,8 or n=5,6 and char(K)>3.
No associations
LandOfFree
Non-supersingular 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 Non-supersingular Hyperelliptic jacobians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-supersingular Hyperelliptic jacobians will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-51136