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Chern numbers and diffeomorphism types of projective varieties

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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.

Author(s): Kotschick D.
Year: 2008

Language: English
Pages: 9

Preliminary results......Page 1
Complex three-folds......Page 3
Higher dimensions......Page 6
Four-folds......Page 7