2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158997In 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 TopologyGeometric TopologyAlgebraic Geometry57R20text