This manuscript consists of two parts. In the first, a cohomology theory on the category of algebraic schemes over a field of characteristic zero is provided. This theory shares several properties with the topological Morava K-theories, hence the name. The second part contains a proof of Voevodsky and Rost conjectured degree formulae. The proof uses algebraic Morava K-theories.
(2000). Algebraic Morava K-theories and the higher degree formula. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2000).
Algebraic Morava K-theories and the higher degree formula
BORGHESI, SIMONE
2000
Abstract
This manuscript consists of two parts. In the first, a cohomology theory on the category of algebraic schemes over a field of characteristic zero is provided. This theory shares several properties with the topological Morava K-theories, hence the name. The second part contains a proof of Voevodsky and Rost conjectured degree formulae. The proof uses algebraic Morava K-theories.
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