A Poincare type inequality for one-dimensional multiprojective foliations

作者:Correa Mauricio Jr*; Soares Marcio G
来源:Bulletin of the Brazilian Mathematical Society, 2011, 42(3): 485-503.
DOI:10.1007/s00574-011-0026-3

摘要

We study one-dimensional holomorphic foliations on products of complex projective spaces and present results giving the number of singularities, counting multiplicities, of a generic foliation, a criterion for a foliation to be Riccati and a Poincare type inequality, relating degrees of foliations to degrees of hypersurfaces which are invariant by them.

  • 出版日期2011-9