Birational invariants defined by Lawson homology

Details Birational invariants defined by Lawson homology Birational invariants defined by Lawson homology

2005-11-29

arxiv.org/abs/math/0511722v2

Mathematics

Algebraic Geometry

16 pages, change title; give more details to the proof of Theorem 3.1

Scientific paper

New birational invariants for a projective manifold are defined by using Lawson homology. These invariants can be highly nontrivial even for projective threefolds. Our techniques involve the weak factorization theorem of Wlodarczyk and tools developed by Friedlander, Lawson, Lima-Filho and others. A blowup formula for Lawson homology is given in a separate section. As an application, we show that for each n\geq 5, there is a smooth rational variety X of dimension n such that the Griffiths groups Griff}_p(X) are infinitely generated even modulo torsion for all p with 2\leq p\leq n-3.

Affiliated with

Also associated with

No associations

Rating

Birational invariants defined by Lawson homology 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 Birational invariants defined by Lawson homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birational invariants defined by Lawson homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430041