Mixed ladder determinantal varieties from two-sided ladders

• Autores: Elisa Gorla
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 211, Nº 2, 2007, págs. 433-444
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.01.016
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• Resumen

  • 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 ladder determinantal varieties belong to the same G-biliaison class of a linear variety.