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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
Posted:
April 23, 2003
MathSciNet review:
1974350
Full-text PDF Free Access
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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
Posted:
April 23, 2003
Communicated by:
Mohan Ramachandran
Article copyright:
© Copyright 2003 American Mathematical Society
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