Implementation of Kumar's correspondence

Details Implementation of Kumar's correspondence Implementation of Kumar's correspondence

2006-01-17

arxiv.org/abs/math/0601423v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

In 1997, N.M. Kumar published a paper which introduced a new tool of use in the construction of algebraic vector bundles. Given a vector bundle on projective n-space, a well known theorem of Quillen-Suslin guarantees the existence of sections which generate the bundle on the complement of a hyperplane in projective n-space. Kumar used this fact to give a correspondence between vector bundles on projective n-space and vector bundles on projective (n-1)-space satisfying certain conditions. He then applied this correspondence to establish the existence of many, previously unknown, rank two bundles on projective fourspace in positive characteristic. The goal of the present paper is to give an explicit homological description of Kumar's correspondence in a setting appropriate for implementation in a computer algebra system.

Affiliated with

Also associated with

No associations

Rating

Implementation of Kumar's correspondence 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 Implementation of Kumar's correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Implementation of Kumar's correspondence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-594274