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A Poincaré type inequality for one-dimensional multiprojective foliations.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Sep2011, Vol. 42 Issue 3, p485-503. 19p. - Publication Year :
- 2011
-
Abstract
- 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 Poincaré type inequality, relating degrees of foliations to degrees of hypersurfaces which are invariant by them. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 42
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 65102129
- Full Text :
- https://doi.org/10.1007/s00574-011-0026-3