2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104891This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or Kähler) manifolds. Inter alia, we prove a conjecture of Rosenberg's on the birational invariance of higher Todd genera. We argue that in the algebraic geometric setting the Novikov philosophy naturally includes non-birational mappings.Algebraic Geometry14J50, 58g03text