The compactified Picard scheme of the compactified Jacobian

Details The compactified Picard scheme of the compactified Jacobian The compactified Picard scheme of the compactified Jacobian

2004-10-25

arxiv.org/abs/math/0410537v1

Mathematics

Algebraic Geometry

Plain TeX, 16 pages

Scientific paper

Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the associated Abel map A_L : C -> P, which maps C into its compactified Jacobian scheme P, and form its pullback map A_L^* : Pic^0_P -> J, which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then A_L^* is known to be an isomorphism. We prove that A_L^* always extends to a map between the natural compactifications, Pic^-_P -> P, and that the extended map is an isomorphism if C has, at worst, ordinary nodes and cusps.

Affiliated with

Also associated with

No associations

Rating

The compactified Picard scheme of the compactified Jacobian 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 compactified Picard scheme of the compactified Jacobian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The compactified Picard scheme of the compactified Jacobian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477839