2005/11/29 by Wenchuan Hu, Hu, Wenchuan
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14E99 #msc:14F43
paper · pdf · doi:10.48550/arxiv.math/0511722
16 pages, change title; give more details to the proof of Theorem 3.1
arxiv created 2006/03/08 · arxiv updated 2009/12/01
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≥ 5, there is a smooth rational variety X of dimension n such that the Griffiths groups Griffp(X) are infinitely generated even modulo torsion for all p with 2≤ p≤ n-3.