| Full text | |
| Author(s): |
Correa, Mauricio
;
Jardim, Marcos
;
Muniz, Alan
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MATHEMATISCHE ZEITSCHRIFT; v. 301, n. 3, p. 23-pg., 2022-03-05. |
| Abstract | |
Let X be a smooth projective variety. We show that the map that sends a codimension one distribution on X to its singular scheme is a morphism from the moduli space of distributions into a Hilbert scheme. We describe its fibers and, when X = P-n, compute them via syzygies. As an application, we describe the moduli spaces of degree 1 distributions on P-3. We also give the minimal graded free resolution for the ideal of the singular scheme of a generic distribution on P-3. (AU) | |
| FAPESP's process: | 18/21391-1 - Gauge theory and algebraic geometry |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Projects - Thematic Grants |