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Local Cohomology: An Algebraic Introduction with Geometric Applications: New
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Artikelmerkmale
- Artikelzustand
- Book Title
- Local Cohomology: An Algebraic Introduction with Geometric Applic
- Publication Date
- 2012-11-15
- Edition Number
- 2
- ISBN
- 9780521513630
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521513634
ISBN-13
9780521513630
eBay Product ID (ePID)
64154341
Product Key Features
Number of Pages
505 Pages
Publication Name
Local Cohomology : an Algebraic Introduction with Geometric Applications
Language
English
Subject
Algebra / Abstract, Algebra / General
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Studies in Advanced Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
30.5 Oz
Item Length
9.3 in
Item Width
6.2 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
Review of the first edition: '… a careful and detailed algebraic introduction to Grothendieck's local cohomology theory.' L'Enseignement Mathematique, '… the book opens the view towards the beauty of local cohomology, not as an isolated subject but as a tool helpful in commutative algebra and algebraic geometry.' Zentralblatt MATH, Review of the first edition: 'The book is well organised, very nicely written, and reads very well … a very good overview of local cohomology theory.' Newsletter of the European Mathematical Society, Review of the first edition: '… Brodmann and Sharp have produced an excellent book: it is clearly, carefully and enthusiastically written; it covers all important aspects and main uses of the subject; and it gives a thorough and well-rounded appreciation of the topic's geometric and algebraic interrelationships … I am sure that this will be a standard text and reference book for years to come.' Liam O'Carroll, Bulletin of the London Mathematical Society
Series Volume Number
Series Number 136
Illustrated
Yes
Dewey Decimal
512/.55
Table Of Content
Preface to the First Edition; Preface to the Second Edition; Notation and conventions; 1. The local cohomology functors; 2. Torsion modules and ideal transforms; 3. The Mayer-Vietoris sequence; 4. Change of rings; 5. Other approaches; 6. Fundamental vanishing theorems; 7. Artinian local cohomology modules; 8. The Lichtenbaum-Hartshorne Theorem; 9. The Annihilator and Finiteness Theorems; 10. Matlis duality; 11. Local duality; 12. Canonical modules; 13. Foundations in the graded case; 14. Graded versions of basic theorems; 15. Links with projective varieties; 16. Castelnuovo regularity; 17. Hilbert polynomials; 18. Applications to reductions of ideals; 19. Connectivity in algebraic varieties; 20. Links with sheaf cohomology; Bibliography; Index.
Synopsis
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum-Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton-Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are provided for some of the more difficult ones., On its original publication, this algebraic introduction to Grothendieck's local cohomology theory was the first book devoted solely to the topic and it has since become the standard reference for graduate students. This second edition has been thoroughly revised and updated to incorporate recent developments in the field.
LC Classification Number
QA169 .B745 2013
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AlibrisBooks
99% positive Bewertungen•2.0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (543'716)
- e***u (283)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- 0***g (380)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufExcellent purchase. Was able to get all three items from the one seller. Seller was able to bundle all three items together into one package. Items as described and arrived in perfect condition. Good communication around shipping and tracking as items delayed and not able to be delivered by original estimate. Thanks to shipping updates I was able to track the items arriving before the extended delivery time. Thank you for making these items available on EBay.