Canonical extensions of local systems

Details Canonical extensions of local systems Canonical extensions of local systems

2007-10-15

arxiv.org/abs/0710.2869v2

Mathematics

Algebraic Geometry

17 pages

Scientific paper

A local system H on a complex manifold M can be viewed in two ways--either as a locally free sheaf, or as a union of covering spaces T = T(H). When M is an open set in a bigger manifold, the local system will generally not extend, because of local monodromy. This paper proposes an extension of the local system as an analytic space, in the case when the complement of M has normal crossing singularities, and the local system is unipotent along the boundary divisor. The analytic space is obtained by taking the closure of T inside the total space of Deligne's canonical extension of the associated vector bundle. It is not normal, but its normalization is locally toric.

Affiliated with

Also associated with

No associations

Rating

Canonical extensions of local systems 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 Canonical extensions of local systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical extensions of local systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127319