Infinitely generated Lawson homology groups on some rational projective varieties

Details Infinitely generated Lawson homology groups on some rational projective varieties Infinitely generated Lawson homology groups on some rational projective varieties

2006-02-23

arxiv.org/abs/math/0602517v1

Mathematics

Algebraic Geometry

14 pages, 0 figure

Scientific paper

We construct rational projective 4-dimensional varieties with the property that certain Lawson homology groups tensored with Q are infinite dimensional Q-vector spaces. More generally, each pair of integers p and k, with k\geq 0, p>0, we find a projective variety Y, such that L_pH_{2p+k}(Y) is infinitely generated. We also construct two singular rational projective 3-dimensional varieties Y and Y' with the same homeomorphism type but different Lawson homology groups, specifically L_1H_3(Y) is not isomorphic to L_1H_3(Y')even up to torsion.

Affiliated with

Also associated with

No associations

Rating

Infinitely generated Lawson homology groups on some rational projective varieties 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 Infinitely generated Lawson homology groups on some rational projective varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitely generated Lawson homology groups on some rational projective varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711673