G-biliaison of ladder Pfaffian varieties

2008/09/19 by Emanuela De Negri, De Negri, Emanuela, Elisa Gorla +1 · 1 citation
Computer Science · Mathematics · #13C40 #14M06 #14M12 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0809.3417

openalex publication_date 2008/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Slightly mixed symbolic powers of matroids are locally glicci

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