Vanishing Theorems for Real Algebraic Cycles

Details Vanishing Theorems for Real Algebraic Cycles Vanishing Theorems for Real Algebraic Cycles

2009-09-03

arxiv.org/abs/0909.0569v1

Mathematics

Algebraic Geometry

51 pages

Scientific paper

We establish the analogue of the Friedlander-Mazur conjecture for Teh's reduced Lawson homology groups of real varieties, which says that the reduced Lawson homology of a real quasi-projective variety $X$ vanishes in homological degrees larger than the dimension of $X$ in all weights. As an application we obtain a vanishing of homotopy groups of the mod-2 topological groups of averaged cycles and a characterization in a range of indices of the motivic cohomology of a real variety as homotopy groups of the complex of averaged equidimensional cycles. We also establish an equivariant Poincare duality between equivariant Friedlander-Walker real morphic cohomology and dos Santos' real Lawson homology. We use this together with an equivariant extension of the mod-2 Beilinson-Lichtenbaum conjecture to compute some real Lawson homology groups in terms of Bredon cohomology.

Affiliated with

Also associated with

No associations

Rating

Vanishing Theorems for Real Algebraic Cycles 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 Vanishing Theorems for Real Algebraic Cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vanishing Theorems for Real Algebraic Cycles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663442