A variant of Neron models over curves

Details A variant of Neron models over curves A variant of Neron models over curves

2009-09-23

arxiv.org/abs/0909.4276v2

Mathematics

Algebraic Geometry

15 pages

Scientific paper

We study a variant of the Neron models over curves which is recently found by the second named author in a more general situation using the theory of Hodge modules. We show that its identity component is a certain open subset of an iterated blow-up along smooth centers of the Zucker extension of the family of intermediate Jacobians and that the total space is a complex Lie group over the base curve and is Hausdorff as a topological space. In the unipotent monodromy case, the image of the map to the Clemens extension coincides with the Neron model defined by Green, Griffiths and Kerr. In the case of families of Abelian varieties over curves, it coincides with the Clemens extension, and hence with the classical N\'eron model in the algebraic case (even in the non-unipotent monodromy case).

Affiliated with

Also associated with

No associations

Rating

A variant of Neron models over curves 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 A variant of Neron models over curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A variant of Neron models over curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182335