Twenty-Four Hours of Local Cohomology
Author:   Srikanth B. Iyengar ,  Graham J. Leuschke ,  Anton Leykin ,  Claudia Miller
Publisher:   American Mathematical Society
ISBN:  

9781470471590


Pages:   282
Publication Date:   01 January 2007
Format:   Paperback
Availability:   In Print   Availability explained
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Twenty-Four Hours of Local Cohomology


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Author:   Srikanth B. Iyengar ,  Graham J. Leuschke ,  Anton Leykin ,  Claudia Miller
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470471590


ISBN 10:   1470471590
Pages:   282
Publication Date:   01 January 2007
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Basic notions Cohomology Resolutions and derived functors Limits Gradings, filtrations, and Grobner bases Complexes from a sequence of ring elements Local cohomology Auslander-Buchsbaum formula and global dimension Depth and cohomological dimension Cohen-Macaulay rings Gorenstein rings Connections with sheaf cohomology Projective varieties The Hartshorne-Lichtenbaum vanishing theorem Connectedness Polyhedral applications $D$-modules Local duality revisited De Rham cohomology Local cohomology over semigroup rings The Frobenius endomorphism Curious examples Algorithmic aspects of local cohomology Holonomic rank and hypergeometric systems Injective modules and Matlis duality Bibliography Index

Reviews

"It's all terrific stuff. I hope this book will succeed in bringing many young mathematicians to love cohomology, too, and then to go on from there."" —MAA Reviews ""This book is an excellent text on local cohomology and complements well the existing sources. It will surely become a standard reference on this theory."" —Mathematical Reviews"


It's all terrific stuff. I hope this book will succeed in bringing many young mathematicians to love cohomology, too, and then to go on from there. -MAA Reviews This book is an excellent text on local cohomology and complements well the existing sources. It will surely become a standard reference on this theory. -Mathematical Reviews


Author Information

Srikanth B. Iyengar, University of Nebraska, Lincoln, NE. Graham J. Leuschke, Syracuse University, NY. Anton Leykin, Institute for Mathematics and Its Applications, Syracuse, NY. Claudia Miller, Syracuse University, NY. Ezra Miller, University of Minnesota, Minneapolis, MN. Anurag K. Singh, University of Utah, Salt Lake City, UT. Uli Walther, Purdue University, West Lafayette, IN.

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