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A generalized Gaeta's theorem

Gorla, Elisa

In: Compositio Mathematica, 2008, vol. 144, no. 3, p. 689-704

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    Title
    • A generalized Gaeta's theorem
    Author
    • Gorla, Elisa. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland (email: elisa.gorla@math.unizh.ch)
    Document Type
    • Postprint
    OAI-PMH Identifier
    • oai:doc.rero.ch:302188
    Summary
    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