Article contents
A generalized Gaeta’s theorem
Published online by Cambridge University Press: 01 May 2008
Abstract
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.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Foundation Compositio Mathematica 2008
References
The author was partially supported by the Swiss National Science Foundation under grant no. 107887. Part of the research in this paper was done while the author was a guest at the Max Planck Institut für Mathematik in Bonn. The author would like to thank the Max Planck Institute for its support and hospitality.
- 13
- Cited by