On self-associated sets of points in small projective spaces
| dc.creator | Petrakiev, Ivan | |
| dc.date | 2006-04-24 | |
| dc.date.accessioned | 2026-07-07T07:11:13Z | |
| dc.date.available | 2026-07-07T07:11:13Z | |
| dc.description | We study moduli of ``self-associated'' sets of points in ${\bf P}^n$ for small $n$. In particular, we show that for $n=5$ a general such set arises as a hyperplane section of the Lagrangean Grassmanian $LG(5,10) \subset {\bf P}^{15}$ (this was conjectured by Eisenbud-Popescu in {\it Geometry of the Gale transform}, J. Algebra 230); for $n=6$, a general such set arises as a hyperplane section of the Grassmanian $G(2,6) \subset {\bf P}^{14}$. We also make a conjecture for the next case $n=7$. Our results are analogues of Mukai's characterization of general canonically embedded curves in ${\bf P}^6$ and ${\bf P}^7$, resp. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604518 | |
| dc.identifier | http://arxiv.org/abs/math/0604518 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111675 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14N05, 13H10 | |
| dc.title | On self-associated sets of points in small projective spaces | |
| dc.type | text |