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Degrees of spaces of holomorphic foliations of codimension one in [formula omitted].
- Source :
-
Journal of Pure & Applied Algebra . Nov2017, Vol. 221 Issue 11, p2791-2804. 14p. - Publication Year :
- 2017
-
Abstract
- Let F ( d ; n ) be the parameter space of the family of holomorphic foliations of codimension one and degree d in P n . Gomez-Mont and Lins-Neto have shown that the Zariski closure of the set of foliations defined by a differential 1-form of type a F d G − b G d F , where F , G denote co-prime homogeneous polynomials of degrees a , b is an irreducible component of F ( a + b − 2 ; n ) . Our main result gives a formula for the degree of this component for a = 2 , b odd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 221
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 123256709
- Full Text :
- https://doi.org/10.1016/j.jpaa.2017.01.008