The Chow rings of $G_2$ and $Spin_7$

Details The Chow rings of $G_2$ and $Spin_7$ The Chow rings of $G_2$ and $Spin_7$

2005-08-06

arxiv.org/abs/math/0508122v2

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We compute $CH^*BG_2$ and $CH^*BSpin_7$, using in particular the stratification method introduced by Vezzosi. We also give some information on the Chow rings of the finite groups $G_2(q)$. This new version includes an appendix, which will be published on its own as an addendum. It explains how one can use our results to produce a counter-example to the conjecture, due to Totaro, which predicted that the Chow ring of a finite group was generated by transfers of Chern classes.

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