A generalized Gaeta's Theorem

Details A generalized Gaeta's Theorem A generalized Gaeta's Theorem

2007-01-16

arxiv.org/abs/math/0701456v1

Mathematics

Algebraic Geometry

17 pages, submitted

Scientific paper

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.

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