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, Northwestern University, 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.
Mahowald Mark
algebraic schemes, cohomology theory, algebraic cycles, homotopy theory
English
matematica
0
2000
http://www.math.uiuc.edu/K-theory/0412/
(2000). Algebraic Morava K-theories and the higher degree formula. (Tesi di dottorato, Northwestern University, 2000).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/39205
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