Publication: Mixed ladder determinantal varieties from two-sided ladders
Mixed ladder determinantal varieties from two-sided ladders
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Gorla, E. (2007). Mixed ladder determinantal varieties from two-sided ladders. Journal of Pure and Applied Algebra, 211, 433–444. https://doi.org/10.1016/j.jpaa.2007.01.016
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We study the family of ideals defined by mixed size minors of two-sided ladders of indeterminates. We compute their Gröbner bases with respect to a skew-diagonal monomial order, then we use them to compute the height of the ideals. We show that these ideals correspond to a family of irreducible projective varieties, that we call mixed ladder determinantal varieties. We show that these varieties are arithmetically Cohen–Macaulay, and we characterize the arithmetically Gorenstein ones. Our main result consists in proving that mixed ladd
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Gorla, E. (2007). Mixed ladder determinantal varieties from two-sided ladders. Journal of Pure and Applied Algebra, 211, 433–444. https://doi.org/10.1016/j.jpaa.2007.01.016