| | |
| | |
Stat |
Members: 3660 Articles: 2'599'751 Articles rated: 2609
10 November 2024 |
|
| | | |
|
Article overview
| |
|
A local version of Gotzmann's Persistence | Morgan Sherman
; | Date: |
1 Oct 2007 | Abstract: | Gotzmann’s Persistence states that the growth of an arbitrary ideal can be
controlled by comparing it to the growth of the lexicographic ideal. This is
used, for instance, in finding equations which cut out the Hilbert scheme (of
subschemes of $mathbf{P}^n$ with fixed Hilbert polynomial) sitting inside an
appropriate Grassmannian. We introduce the notion of an {it extremal ideal}
which extends the notion of the lex ideal to other term orders. We then state
and prove a version of Gotzmann’s theorem for these ideals, valid in an open
subset of a Grassmannian. | Source: | arXiv, 0710.0186 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|