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The generic rank of the Baum–Bott map for foliations of the projective plane

2006; Cambridge University Press; Volume: 142; Issue: 06 Linguagem: Inglês

10.1112/s0010437x06002326

1570-5846

Alcides Lins Neto, Jorge Vitório Pereira,

Geometric and Algebraic Topology

Our main result says that the generic rank of the Baum–Bott map for foliations of degree is not the pull-back of a foliation of smaller degree. In Appendix A we show that the monodromy of the singular set of the universal foliation with very ample cotangent bundle is the full symmetric group.