Rigidity and Quasi-Rigidity of Extremal Cycles in Hermitian Symmetric Spaces
By (author) R.L. Bryant
Normal Price: $44.99
Your Price: $40.49 AUD, inc. GST
Shipping: $7.95 per order
You Save: $4.50! (10% off normal price)
Plus...earn $2.02 in Boomerang Bucks
Availability: Available to Backorder, No Due Date for Supply
Rigidity and Quasi-Rigidity of Extremal Cycles in Hermitian Symmetric Spaces by R.L. Bryant
Book DescriptionThis book investigates the geometry of complex subvarieties of compact Hermitian symmetric spaces, particularly the complex Grassmannians, which are central to Schubert calculus and its applications to enumerative algebraic geometry. To do so, Robert Bryant employs a combination of Hermitian differential geometry, calibrations, and classical moving frame constructions. The main result is that, for Hermitian symmetric spaces M of rank greater than 1, there are homology classes c (called extremal) such that the complex varieties V in M that represent c display rigidity in unexpected ways. There are other cycles that display a weaker form of this sort of rigidity, but whose moduli space of representing cycles can still be described in terms of the geometry of subvarieties of related complex projective spaces. These results have applications to other problems in algebraic geometry. For example, for a holomorphic bundle E over a compact complex manifold M that is generated by its sections, the Schur polynomials in its Chern classes are known to be non-negative. The above results allow one to give a complete description of such bundles in several cases where one of these Schur polynomials actually vanishes. The book, which will interest researchers and graduate students in complex algebraic geometry or differential geometry, contains a thorough exposition of the geometry of Hermitian symmetric spaces and their Schubert cycles and characteristic classes as well as other preparatory material needed to obtain the results.
Buy Rigidity and Quasi-Rigidity of Extremal Cycles in Hermitian Symmetric Spaces book by R.L. Bryant from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780691096346
(229mm x 152mm x mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 18-Feb-2010
Country of Publication: United States
» Have you read this book? We'd like to know what you think about it - write a review about Rigidity and Quasi-Rigidity of Extremal Cycles in Hermitian Symmetric Spaces book by R.L. Bryant and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Author Biography - R.L. Bryant
Robert L. Bryant is Juanita M. Kreps Professor of Mathematics at Duke University. He is co-author of "Exterior Differential Systems".
Bestselling Books: Our Current Bestsellers | Australia's Hottest 1000 Books | Bestselling Fiction | Bestselling Crime Mysteries and Thrillers | Bestselling Non Fiction Books | Bestselling Sport Books | Bestselling Gardening and Handicrafts Books | Bestselling Biographies | Bestselling Food and Drink | Bestselling History | Bestselling Travel Books | Bestselling School Textbooks & Study Guides | Bestselling Children's General Non-Fiction | Bestselling Young Adult Fiction | Bestselling Children's Fiction | Bestselling Picture Books | Top 100 US Bestsellers
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
Address: Boomerang Books, 878 Military Road, Mosman Junction, NSW, 2088
© 2003-2017. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687
For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.