Gorla, E (2008). A generalized Gaeta's theorem. Compositio Mathematica, 144(3):689-704.
We generalize Gaeta’s theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever they have maximal possible codimension, given the size of the matrix and of the minors that define them.
We generalize Gaeta’s theorem to the family of determinantal schemes. In other words, we show that the schemes defined by minors of a fixed size of a matrix with polynomial entries belong to the same G-biliaison class of a complete intersection whenever they have maximal possible codimension, given the size of the matrix and of the minors that define them.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 21 May 2008 |
| Deposited On: | 14 Jan 2009 10:31 |
| Last Modified: | 02 Dec 2023 02:36 |
| Publisher: | London Mathematical Society |
| ISSN: | 0010-437X |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1112/S0010437X07003375 |
| Related URLs: | http://arxiv.org/abs/math/0701456 |
Gorla, E