Abstract
We compute the Chern subgroup of the fourth integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion.
| Original language | English |
|---|---|
| Pages (from-to) | 221-228 |
| Number of pages | 8 |
| Journal | Algebraic Geometry |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2017 Mar 1 |
Keywords
- Chern class
- Chow ring
- Classifying space
- Cycle map
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology