Elsevier

Journal of Algebra

Volume 321, Issue 9, 1 May 2009, Pages 2637-2649
Journal of Algebra

G-biliaison of ladder pfaffian varieties

https://doi.org/10.1016/j.jalgebra.2008.12.026Get rights and content
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Abstract

The ideals generated by pfaffians of mixed size contained in a subladder of a skew-symmetric matrix of indeterminates define arithmetically Cohen–Macaulay, projectively normal, reduced and irreducible projective varieties. We show that these varieties belong to the G-biliaison class of a complete intersection. In particular, they are glicci.

Keywords

G-biliaison
Gorenstein liaison
Pfaffian
Ladder
Complete intersection
Arithmetically Gorenstein scheme
Arithmetically Cohen–Macaulay scheme

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1

The author was partially supported by the Swiss National Science Foundation (grant no. 107887) by the Förschungskredit of the University of Zurich (grant no. 57104101), and by the Max Planck Institut für Mathematik, Bonn. She also wishes to express her gratitude to the Mathematics Department of the University of Genova, where part of the work was done.