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- Title
ALGEBRAIC K-THEORY AND CUBICAL DESCENT.
- Authors
Pascual, Pere; Pons, Llorenç Rubío
- Abstract
In this note we apply the Guillén-Navarro descent theorem to define a descent variant of the algebraic K-theory of varieties over a field of characteristic zero, KD(X), which coincides with K(X) for smooth varieties and to prove that there is a natural weight filtration on the groups KD*(X). After a result of Haesemeyer, we deduce that this theory is equivalent to the homotopy algebraic K-theory introduced by Weibel.
- Subjects
K-theory; THEORY of descent (Mathematics); HOMOTOPY theory; MORPHISMS (Mathematics); VARIETIES (Universal algebra)
- Publication
Homology, Homotopy & Applications, 2009, Vol 11, Issue 2, p5
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2009.v11.n2.a2