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Topological Radon transforms and degree formulas for dual varieties
Author(s):
Yutaka
Matsui;
Kiyoshi
Takeuchi
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2365-2373.
MSC (2000):
Primary 14B05, 14N99, 32C38, 35A27, 53A20
Posted:
March 11, 2008
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Abstract:
We give a simpler and purely topological proof of Ernström's class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).
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Additional Information:
Yutaka
Matsui
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan
Email:
you317@ms.u-tokyo.ac.jp
Kiyoshi
Takeuchi
Affiliation:
Institute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan
Email:
takemicro@nifty.com
DOI:
10.1090/S0002-9939-08-09270-8
PII:
S 0002-9939(08)09270-8
Received by editor(s):
September 13, 2005,
Received by editor(s) in revised form:
November 16, 2006, March 7, 2007, and May 7, 2007
Posted:
March 11, 2008
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2008,
American Mathematical Society
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