Restriction of sections of abelian schemes

Details Restriction of sections of abelian schemes Restriction of sections of abelian schemes

2003-10-25

arxiv.org/abs/math/0310405v1

Mathematics

Algebraic Geometry

Scientific paper

We prove the following result: Let B be a smooth, irreducible, quasi-projective variety over the complex numbers and assume that B has a projective compactification \bar{B} such that \bar{B} - B is of codimension at least two in \bar{B}. Then there exists a family of smooth ireducible curves {C_q}_{q \in Q} in B parametrised by an irreducible variety Q such that if p: A \to B is an abelian scheme and q \in Q is a generic point, then the restriction map on sections A(B) \to A(C_q) is an isomorphism. This answers, in a special case, a question of Graber, Harris, Mazur and Starr.

Affiliated with

Also associated with

No associations

Rating

Restriction of sections of abelian schemes 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 Restriction of sections of abelian schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Restriction of sections of abelian schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716583