The Resource Étale cohomology, J.S. Milne
Étale cohomology, J.S. Milne
Resource Information
The item Étale cohomology, J.S. Milne represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Étale cohomology, J.S. Milne represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaftheoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and padic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology  those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general Lseries
 Language
 eng
 Extent
 1 online resource (xiii, 323 pages)
 Contents

 Étale morphisms
 Sheaf theory
 Cohomology
 The Brauer group
 The cohomology of curves and surfaces
 The fundamental theorems
 Appendix A. Limits
 Appendix B. Spectral sequences
 Appendix C. Hypercohomology
 Isbn
 9781400883981
 Label
 Étale cohomology
 Title
 Étale cohomology
 Statement of responsibility
 J.S. Milne
 Language
 eng
 Summary
 One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaftheoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and padic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology  those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general Lseries
 Cataloging source
 N$T
 http://library.link/vocab/creatorDate
 1942
 http://library.link/vocab/creatorName
 Milne, J. S.
 Illustrations
 illustrations
 Index
 index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Princeton mathematical series
 Series volume
 33
 http://library.link/vocab/subjectName

 Geometry, Algebraic
 Homology theory
 Sheaf theory
 Géométrie algébrique
 Homologie
 Faisceaux, Théorie des
 MATHEMATICS
 Geometry, Algebraic
 Homology theory
 Sheaf theory
 Cohomologie
 Algebraïsche topologie
 Etalkohomologie
 Label
 Étale cohomology, J.S. Milne
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 313320) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Étale morphisms  Sheaf theory  Cohomology  The Brauer group  The cohomology of curves and surfaces  The fundamental theorems  Appendix A. Limits  Appendix B. Spectral sequences  Appendix C. Hypercohomology
 Control code
 ocn948756256
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 323 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400883981
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400883981
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt1bqrqvp
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)948756256
 Label
 Étale cohomology, J.S. Milne
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 313320) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Étale morphisms  Sheaf theory  Cohomology  The Brauer group  The cohomology of curves and surfaces  The fundamental theorems  Appendix A. Limits  Appendix B. Spectral sequences  Appendix C. Hypercohomology
 Control code
 ocn948756256
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 323 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400883981
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400883981
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt1bqrqvp
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)948756256
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/%C3%89talecohomologyJ.S.Milne/m6RV7jLzmz4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/%C3%89talecohomologyJ.S.Milne/m6RV7jLzmz4/">Étale cohomology, J.S. Milne</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Étale cohomology, J.S. Milne
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/%C3%89talecohomologyJ.S.Milne/m6RV7jLzmz4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/%C3%89talecohomologyJ.S.Milne/m6RV7jLzmz4/">Étale cohomology, J.S. Milne</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>