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arxiv: 0709.2857 · v2 · submitted 2007-09-18 · 🧮 math.GT · math.AG

Chern numbers and diffeomorphism types of projective varieties

classification 🧮 math.GT math.AG
keywords chernnumbersprojectivevarietiesansweraskedcombinationscomplete
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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.

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