ON THE SINGULAR SCHEME OF CODIMENSION ONE HOLOMORPHIC FOLIATIONS IN ℙ3

DOI10.1142/S0129167X1000601XzbMath1246.32033arXiv0812.3369OpenAlexW2963267273MaRDI QIDQ3584746

Luis Giraldo, A. J. Pan-Collantes

Publication date: 30 August 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3369

zbMATH Keywords

reflexive sheavesholomorphic foliationssplit vector bundles

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (7)

Foliations with isolated singularities on Hirzebruch surfaces ⋮ On degeneracy schemes of maps of vector bundles and applications to holomorphic foliations ⋮ On special holomorphic distributions and residues ⋮ Cayley-Bacharach and singularities of foliations ⋮ On holomorphic distributions on Fano threefolds ⋮ On non-Kupka points of codimension one foliations on ℙ3 ⋮ On the geometry of the singular locus of a codimension one foliation in \(\mathbb P^n\)

Cites Work

• Unnamed Item
• Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
• Singularities of holomorphic foliations
• Stable reflexive sheaves
• The local analytical triviality of a complex analytic singular foliation
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• Irreducible components of the space of foliations associated to the affine Lie algebra
• Singularities of logarithmic foliations
• Stability of holomorphic foliations with split tangent sheaf
• On the rank 2 reflexive sheaves and the subcanonical cupves in P³

This page was built for publication: ON THE SINGULAR SCHEME OF CODIMENSION ONE HOLOMORPHIC FOLIATIONS IN ℙ³