Chern numbers and diffeomorphism types of projective varieties

Details Chern numbers and diffeomorphism types of projective varieties Chern numbers and diffeomorphism types of projective varieties

2007-09-18

arxiv.org/abs/0709.2857v2

Journal of Topology 1 (2008), 518--526

Mathematics

Geometric Topology

minor edits; to appear in the Journal of Topology

Scientific paper

10.1112/jtopol/jtn007

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.

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