Chern numbers and diffeomorphism types of projective varieties
arXiv:0709.2857 · doi:10.1112/jtopol/jtn007
Abstract
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.
minor edits; to appear in the Journal of Topology
Cited by in corpus (7)
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- The Hodge ring of Kaehler manifolds
- Kaehler structures on spin 6-manifolds
- Algebraic structures with unbounded Chern numbers
- Updates on Hirzebruch's 1954 Problem List
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- Betti numbers in three dimensional minimal model program