Book ChapterDOI
Higher algebraic K-theory: I
Daniel Quillen
- pp 85-147
About:
The article was published on 1973-01-01. It has received 2106 citations till now. The article focuses on the topics: Algebraic element & Algebraic cycle.read more
Citations
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Book
Cohomology of Groups
TL;DR: In this paper, an advanced textbook introduces students to cohomology theory and no knowledge of homological algebra is assumed beyond what is normally taught in a first course in algebraic topology.
Book ChapterDOI
Higher Algebraic K-Theory of Schemes and of Derived Categories
R. W. Thomason,Thomas Trobaugh +1 more
TL;DR: In this article, a localization theorem for the K-theory of commutative rings and of schemes is presented, relating the k-groups of a scheme, of an open subscheme, and of those perfect complexes on the scheme which are acyclic on the open scheme.
Journal ArticleDOI
Stability conditions on triangulated categories
TL;DR: In this paper, the authors introduce the notion of a stability condition on a triangulated category and prove a deformation result which shows that the space with its natural topology is a manifold, possibly infinite-dimensional.
Book
Rings, Modules, and Algebras in Stable Homotopy Theory
Anthony Elmendorf,Michael Cole +1 more
TL;DR: In this paper, the authors introduce the category of Structured ring and module spectra under $S$ and show how to construct a monadic bar construction on a function spectra.
Journal ArticleDOI
Generators and representability of functors in commutative and noncommutative geometry
TL;DR: In this paper, it was shown that coherent sheaves on smooth proper commutative and noncommutative varieties have strong generators, and hence are saturated, whereas a smooth compact analytic surface with no curves is not saturated.
References
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Journal ArticleDOI
Des catégories abéliennes
TL;DR: The Bulletin de la S. M. F. as mentioned in this paper implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.html).
Book
Lectures on curves on an algebraic surface
David Mumford,George M. Bergman +1 more
TL;DR: In this paper, Mumford's lecture on algebraic geometry is devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic.
Journal ArticleDOI
Classifying spaces and spectral sequences
TL;DR: In this paper, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).