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The $K$-book
Language: en
Pages: 634
Authors: Charles A. Weibel
Categories: Mathematics
Type: BOOK - Published: 2013-06-13 - Publisher: American Mathematical Soc.

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Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vec
Algebraic K-Theory and Its Applications
Language: en
Pages: 404
Authors: Jonathan Rosenberg
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This t
Algebraic Geometry
Language: en
Pages: 511
Authors: Robin Hartshorne
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some element
Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry
Language: en
Pages: 250
Authors: R. Keith Dennis
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: American Mathematical Soc.

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In the mid-1960's, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and
Motivic Homotopy Theory
Language: en
Pages: 228
Authors: Bjorn Ian Dundas
Categories: Mathematics
Type: BOOK - Published: 2007-07-11 - Publisher: Springer Science & Business Media

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This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at gr