2007/09/30 by D. Kotschick
Mathematics · #Advanced Algebra and Geometry #Diffeomorphism #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematics #Projective test #Pure mathematics #math.AG #math.GT #msc:57R20
paper · pdf · doi:10.1112/jtopol/jtn007
published as Journal of Topology 1 (2008), 518--526 · minor edits; to appear in the Journal of Topology
arxiv created 2007/12/21 · openalex publication_date 2008/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.