Residues for flags of holomorphic foliations

Abstract

In this work we prove a Baum-Bott type residue theorem for flags of holomorphic foliations. We prove some relations between the residues of the flag and the residues of their correspondent foliations. We define the Nash residue for flags and we give a partial answer to the Baum-Bott type rationality conjecture in this context .

22 pages, To appear in Advances in Mathematics

Cited by in corpus (2)

• Codimension one holomorphic distributions on the projective three-space
• Analytic varieties invariant by foliations and Pfaff systems