Characteristic numbers of algebraic varieties.
Where this comes from
- Record sourced from PubMed, PMID 19509341.
- Also identified by DOI 10.1073/pnas.0903504106 and PMC identifier 2700925.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
A rational linear combination of Chern numbers is an oriented diffeomorphism invariant of smooth complex projective varieties if and only if it is a linear combination of the Euler and Pontryagin numbers. In dimension at least 3, only multiples of the top Chern number, which is the Euler characteristic, are invariant under diffeomorphisms that are not necessarily orientation preserving. In the space of Chern numbers, there are 2 distinguished subspaces, one spanned by the Euler and Pontryagin numbers, and the other spanned by the Hirzebruch-Todd numbers. Their intersection is the span of the Euler number and the signature.