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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Convexity of moment polytopes of algebraic varieties


Author: William Liu
Journal: Proc. Amer. Math. Soc. 131 (2003), 2921-2932
MSC (2000): Primary 53D20, 37J15, 58E40; Secondary 22E67, 14M15
Published electronically: April 23, 2003
MathSciNet review: 1974350
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Abstract: We consider the situation of a compact irreducible subvariety of a smooth compact complex variety equipped with a Kähler form preserved by a torus action. We study the image of that subvariety under the moment map of the Kähler form.


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Additional Information

William Liu
Affiliation: Department of Natural and Social Sciences, Bowling Green State University, Firelands College, One University Dr., Huron, Ohio 44839
Email: nwliu@bgnet.bgsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07120-X
PII: S 0002-9939(03)07120-X
Keywords: Symplectic structures, Hamiltonian torus action, moment maps, Morse theory, loop groups
Received by editor(s): May 25, 2001
Published electronically: April 23, 2003
Communicated by: Mohan Ramachandran
Article copyright: © Copyright 2003 American Mathematical Society