Synthical logo
Your space
Activity icon
Favorites icon
Account icon
From arXiv

On self-associated sets of points in small projective spaces

We study moduli of ``self-associated'' sets of points in Pn{\bf P}^n for small nn. In particular, we show that for n=5n=5 a general such set arises as a hyperplane section of the Lagrangean Grassmanian LG(5,10)P15LG(5,10) \subset {\bf P}^{15} (this was conjectured by Eisenbud-Popescu in {\it Geometry of the Gale transform}, J. Algebra 230); for n=6n=6, a general such set arises as a hyperplane section of the Grassmanian G(2,6)P14G(2,6) \subset {\bf P}^{14}. We also make a conjecture for the next case n=7n=7. Our results are analogues of Mukai's characterization of general canonically embedded curves in P6{\bf P}^6 and P7{\bf P}^7, resp.
Upvote icon
Published on April 24, 2006
Copy BibTeX
Cross iconSummary
There is no AI-powered summary yet, because we do not have a budget to generate summaries for all articles.
1. Buy subscription
We will thank you for helping thousands of people to save their time at the top of the generated summary.
If you buy our subscription, you will be able to summarize multiple articles.
Pay $8
≈10 summaries
Pay $32
≈60 summaries
2. Share on socials
If this article gets to top-5 in trends, we'll summarize it for free.
Copy link