Algebraic K-Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1996
|
| Edition: | Second Edition |
| Series: | Modern Birkhauser Classics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XVII, 341 p) |
| ISBN: | 9780817647391 9780817647360 |
| ISSN: | 2197-1803 |
| DOI: | 10.1007/978-0-8176-4739-1 |
Staff View
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Record in the Search Index
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| author | Srinivas, V. |
| author_facet | Srinivas, V. |
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| author_variant | v s vs |
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| dewey-full | 512.66 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-4739-1 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419154 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817647391 9780817647360 |
| issn | 2197-1803 |
| language | English |
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| physical | 1 Online-Ressource (XVII, 341 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Modern Birkhauser Classics |
| spelling | Srinivas, V. Verfasser aut Algebraic K-Theory by V. Srinivas Second Edition Boston, MA Birkhäuser Boston 1996 1 Online-Ressource (XVII, 341 p) txt rdacontent c rdamedia cr rdacarrier Modern Birkhauser Classics 2197-1803 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 Mathematics Geometry, algebraic K-theory Topology Algebraic topology K-Theory Algebraic Geometry Algebraic Topology Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 s 1\p DE-604 K-Theorie (DE-588)4033335-8 s 2\p DE-604 Algebra (DE-588)4001156-2 s 3\p DE-604 https://doi.org/10.1007/978-0-8176-4739-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Srinivas, V. Algebraic K-Theory Mathematics Geometry, algebraic K-theory Topology Algebraic topology K-Theory Algebraic Geometry Algebraic Topology Mathematik Algebra (DE-588)4001156-2 gnd K-Theorie (DE-588)4033335-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4033335-8 (DE-588)4141839-6 |
| title | Algebraic K-Theory |
| title_auth | Algebraic K-Theory |
| title_exact_search | Algebraic K-Theory |
| title_full | Algebraic K-Theory by V. Srinivas |
| title_fullStr | Algebraic K-Theory by V. Srinivas |
| title_full_unstemmed | Algebraic K-Theory by V. Srinivas |
| title_short | Algebraic K-Theory |
| title_sort | algebraic k theory |
| topic | Mathematics Geometry, algebraic K-theory Topology Algebraic topology K-Theory Algebraic Geometry Algebraic Topology Mathematik Algebra (DE-588)4001156-2 gnd K-Theorie (DE-588)4033335-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| topic_facet | Mathematics Geometry, algebraic K-theory Topology Algebraic topology K-Theory Algebraic Geometry Algebraic Topology Mathematik Algebra K-Theorie Algebraische K-Theorie |
| url | https://doi.org/10.1007/978-0-8176-4739-1 |
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