Design of a well-balanced scheme for the numerical approximation of a three-phase ...
Geometry and topology of Riemannian foliations via deformations
Lie groupoids of symmetries and geometric structures on manifolds
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] ICEx UFMG, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil
[2] IMECC UNICAMP, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Indiana University Mathematics Journal; v. 64, n. 5, p. 1359-1381, 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We prove that the tangent sheaf of a codimension-one locally free distribution splits as a sum of line bundles if and only if its singular scheme is arithmetically Cohen-Macaulay. In addition, we show that a foliation by curves is given by an intersection of generically transversal holomorphic distributions of codimension one if and only if its singular scheme is arithmetically Buchsbaum. Finally, we establish that these foliations are determined by their singular schemes, and deduce that the Hilbert scheme of certain arithmetically Buchsbaum schemes of codimension 2 is birational to a Grassmannian. (AU) | |
| FAPESP's process: | 14/14743-8 - Sheaves on projective varieties |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |