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Journal of Topology 2008 1(2):518-526; doi:10.1112/jtopol/jtn007
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© 2008 London Mathematical Society

Chern numbers and diffeomorphism types of projective varieties

D. Kotschick

Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany dieter@member.ams.org

In 1954, Hirzebruch asked which linear combinations of Chern numbers are topological invariants of smooth complex projective varieties. We give a complete answer to this question in small dimensions, and also prove partial results without restrictions on the dimension.

Received June 22, 2007.

2000 Mathematics Subject Classification 57R20 (primary), 14J30, 14J35, 32Q55 (secondary)

Herrn Prof. Dr. F. Hirzebruch zum 80. Geburtstag gewidmet.



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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
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Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
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Right arrow Articles by Kotschick, D.
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