Addendum to the paper: The Chow rings of G2 and Spin(7)
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Pierre Guillot
Abstract
The result in our article “The Chow rings of G2 and Spin(7)” depends on a computation by Yagita, who in turn ascribes a critical contribution, concerning the Chow ring of Spin(7), to Totaro. However in a private communication, Totaro has pointed out to me that he has not published the result anywhere.
At the same time, he also explained that a recent paper of Yagita and Schuster gives an optimal counterexample to a conjecture of his on Chow rings—modulo the same result without a published proof.
In this addendum, we give a direct proof for this missing ingredient. Using the notations and background of our aforementioned article, it is rather straightforward, and thus the proof fits well as a concluding point. Then we present the relationship with the article of Yagita and Schuster, and with Totaro's conjecture.
© Walter de Gruyter Berlin · New York 2008
Articles in the same Issue
- Automorphisms of free groups have asymptotically periodic dynamics
- Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Castelnuovo theory via Gröbner bases
- Additive higher Chow groups of schemes
- Seminormal forms and Gram determinants for cellular algebras
- The orbifold Chow ring of hypertoric Deligne-Mumford stacks
- An intrinsic measure for submanifolds in stratified groups
- Addendum to the paper: The Chow rings of G2 and Spin(7)
Articles in the same Issue
- Automorphisms of free groups have asymptotically periodic dynamics
- Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Castelnuovo theory via Gröbner bases
- Additive higher Chow groups of schemes
- Seminormal forms and Gram determinants for cellular algebras
- The orbifold Chow ring of hypertoric Deligne-Mumford stacks
- An intrinsic measure for submanifolds in stratified groups
- Addendum to the paper: The Chow rings of G2 and Spin(7)
