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140122 ||| eng |
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|a 9780817647391
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|a Srinivas, Vasudevan
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| 245 |
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|a Algebraic K-Theory
|h Elektronische Ressource
|c by Vasudevan Srinivas
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| 250 |
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|a 2nd ed. 1996
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| 260 |
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|a Boston, MA
|b Birkhäuser
|c 1996, 1996
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| 300 |
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|a XVII, 341 p
|b online resource
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| 505 |
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|a “Classical” K-Theory -- The Plus Construction -- The Classifying Space of a Small Category -- Exact Categories and Quillen’s Q-Construction -- The K-Theory of Rings and Schemes -- Proofs of the Theorems of Chapter 4 -- Comparison of the Plus and Q-Constructions -- The Merkurjev-Suslin Theorem -- Localization for Singular Varieties
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| 653 |
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|a K-Theory
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| 653 |
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|a Algebraic Topology
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| 653 |
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|a Algebraic Geometry
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| 653 |
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|a Topology
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| 653 |
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|a Algebraic geometry
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| 653 |
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|a Algebraic topology
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| 653 |
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|a K-theory
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Modern Birkhäuser Classics
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| 028 |
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|a 10.1007/978-0-8176-4739-1
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| 856 |
4 |
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|u https://doi.org/10.1007/978-0-8176-4739-1?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512.66
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| 520 |
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|a Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties. "It is a pleasure to read this mathematically beautiful book..." ---WW.J. Julsbergen, Mathematics Abstracts "The book does an admirable job of presenting the details of Quillen's work..." ---Mathematical Reviews
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