A generalized Gaeta's Theorem

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.

17 pages, submitted

References in corpus (4)

• Some Examples of Gorenstein Liaison in Codimension Three
• Generalized Divisors and Biliaison
• Monomial ideals and the Gorenstein liaison class of a complete intersection
• The G-biliaison class of symmetric determinantal schemes

Cited by in corpus (7)

• Geometric vertex decomposition and liaison
• Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes
• Constructing Homogeneous Gorenstein Ideals
• G-biliaison of ladder Pfaffian varieties
• Polarization and Gorenstein liaison
• Symmetric ladders and G-biliaison
• Groebner bases via linkage