G-biliaison of ladder Pfaffian varieties
classification
🧮 math.AG
math.AC
keywords
varietiesg-biliaisonarithmeticallybelongclasscohen-macaulaycompletecontained
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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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