Timeline for Reducibility of determinantal hypersurfaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 28, 2016 at 13:11 | answer | added | Sasha | timeline score: 5 | |
| Jun 28, 2016 at 13:09 | comment | added | Jason Starr | You can try to prove that the singular locus of the hypersurface has codimension at least $3$ inside the ambient manifold. For a "generic" determinantal variety, the singular locus has codimension $4$, and it equals the locus where the matrix has rank $\leq n-2$. So first you could try to confirm that the rank $\leq n-2$ locus of your matrix has codimension $\geq 3$. | |
| Jun 28, 2016 at 12:47 | comment | added | user46071 | I have some hypotheses on them, but I have no clue how to tackle the problem.. | |
| Jun 28, 2016 at 12:47 | answer | added | Martin Schwald | timeline score: 0 | |
| Jun 28, 2016 at 12:44 | comment | added | Lazzaro Campeotti | Do you have specific polynomials $a_{ij}$? Or are you asking for general criteria on the $a_{ij}$ to determine (ir)reducibility? | |
| Jun 28, 2016 at 12:34 | history | asked | user46071 | CC BY-SA 3.0 |