From arXiv

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.

Simplify

Published on April 24, 2006

Copy BibTeX

Loading...

Summary

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.

See an example

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