Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman

Details Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman

1999-10-09

arxiv.org/abs/math/9910053v1

Mathematics

Algebraic Geometry

6 pages, Latex 2e

Scientific paper

10.1007/s002200050816

In Comm. Math. Physics 118 (1988), 651-701, A. Beilinson and V. Schechtman define on the total space of a smooth family of curves a so-called trace complex associated to a vector bundle, the 0-th relative cohomology of which is the Atiyah algebra of the determinant bundle. Their proof reduces the general case to the acyclic one. In particular, one needs a comparison of the image of the trace complex for a bundle, and its twist by an \'etale multisection. We analyse this and correct a point in the original proof.

Affiliated with

Also associated with

No associations

Rating

Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman 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 Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-654561