G-biliaison of ladder Pfaffian varieties

Details G-biliaison of ladder Pfaffian varieties G-biliaison of ladder Pfaffian varieties

2008-09-19

arxiv.org/abs/0809.3417v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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.

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