Rigidity and Quasi-Rigidity of Extremal Cycles in Hermitian Symmetric Spaces. (AM-153), Volume 153
This 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…
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Produktdetails
- ISBN: 978-0-691-09629-2
- EAN: 9780691096292
- Produktnummer: 1696615
- Verlag: Princeton University Press
- Sprache: Englisch
- Erscheinungsjahr: 2021
- Seitenangabe: 144 S.
- Masse: H22.9 cm x B15.2 cm x D0.0 cm
- Abbildungen: 6 line illus.
- Sonstiges: Undergraduate
Über den Autor
Robert L. Bryant is Juanita M. Kreps Professor of Mathematics at Duke University. He is co-author of Exterior Differential Systems.
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