Poisson structures on Calabi-Yau threefolds and their deformations
Positive curvatures, exotic manifolds and Riemannian foliations
| Full text | |
| Author(s): |
Cavalcante, Alana
;
Jardim, Marcos
;
Santiago, Danilo
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. 296, n. 2, p. 22-pg., 2023-02-01. |
| Abstract | |
We study the conormal sheaves and singular schemes of one-dimensional foliations on smooth projective varieties X of dimension 3 and Picard rank 1. We prove that if the singular scheme has dimension 0, then the conormal sheaf is mu-stable whenever the tangent bundle TX$TX$ is stable, and apply this fact to the characterization of certain irreducible components of the moduli space of rank 2 reflexive sheaves on P3$\mathbb {P}<^>3$ and on a smooth quadric hypersurface Q3 subset of P4$Q_3\subset \mathbb {P}<^>4$. Finally, we give a classification of local complete intersection foliations, that is, foliations with locally free conormal sheaves, of degree 0 and 1 on Q(3). (AU) | |
| FAPESP's process: | 18/21391-1 - Gauge theory and algebraic geometry |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Projects - Thematic Grants |