A homology and cohomology theory for real projective varieties

Details A homology and cohomology theory for real projective varieties A homology and cohomology theory for real projective varieties

2005-08-14

arxiv.org/abs/math/0508238v2

Mathematics

Algebraic Geometry

52 pages

Scientific paper

In this paper we develop homology and cohomology theories which play the same role for real projective varieties that Lawson homology and morphic cohomology play for projective varieties respectively. They have nice properties such as the existence of long exact sequences, the homotopy invariance, the Lawson suspension property, the homotopy property for bundle projection, the splitting principle, the cup product, the slant product and the natural transformations to singular theories. The Friedlander-Lawson moving lemma is used to prove a duality theorem between these two theories. This duality theorem is compatible with the $\Z_2$-Poincar\'e duality for real projective varieties with connected full real points.

Affiliated with

Also associated with

No associations

Rating

A homology and cohomology theory for real 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 A homology and cohomology theory for real projective varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A homology and cohomology theory for real projective varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459695