Cohomological dimension and arithmetical rank of some determinantal ideals

Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithmetical rank (ara) of the ideal I_2(M) generated by the 2-minors of M. Over an algebraically closed field, any (2×n)-matrix of line...

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Bibliographic Details
Main Authors: Davide Bolognini, Alessio Caminata, Antonio Macchia, Maral Mostafazadehfard
Format: Article
Language:English
Published: Università degli Studi di Catania 2015-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1238