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

 

Algebraic cuts


Authors: Dan Edidin and William Graham
Journal: Proc. Amer. Math. Soc. 126 (1998), 677-685
MSC (1991): Primary 14D25, 14L30
MathSciNet review: 1459118
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Abstract: In this note we give an algebraic version of a construction called symplectic cutting, which is due to Lerman. Our construction is valid for projective varieties defined over arbitrary fields. Using the equivariant intersection theory developed by the authors, it is a useful tool for studying quotients by torus actions. At the end of the paper, we give an algebraic proof of the Kalkman residue formula and use it to give some formulas for characteristic numbers of quotients.


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Additional Information

Dan Edidin
Affiliation: Department of Mathematics, University of Missouri, Columbia Missouri 65211
Email: edidin@cantor.math.missouri.edu

William Graham
Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
Address at time of publication: Department of Mathematics, University of Georgia, Athens, Georgia 30602

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04439-6
PII: S 0002-9939(98)04439-6
Keywords: Geometric invariant theory, Chow groups
Received by editor(s): September 6, 1996
Additional Notes: The first author was partially supported by the NSF, and the University of Missouri Research Board.
Communicated by: Ron Donagi
Article copyright: © Copyright 1998 American Mathematical Society