Details:
Title  Betti numbers of transversal monomial ideals.  Author(s)  Rahim ZaareNahandi  Type  Article in Journal  Abstract  In this paper, by a modification of a previously constructed minimal free resolution for a transversal monomial ideal, the Betti numbers of this ideal is explicitly computed. For convenient characteristics of the ground field, up to a change of coordinates, the ideal of tminors of a generic pluricirculant matrix is a transversal monomial ideal. Using a Gröbner basis for this ideal, it is shown that the initial ideal of a generic pluricirculant matrix is a stable monomial ideal when the matrix has two square blocks. By means of the EliahouKervaire resolution for stable monomial ideals, the Betti numbers of this initial ideal is computed and it is proved that for some significant values of t, this ideal has the same Betti numbers as the corresponding transversal monomial ideal. The ideals treated in this paper naturally arise in the study of generic singularities of algebraic varieties.
 Keywords  Betti numbers; pluricirculant matrix; stable monomial ideal; transversal monomial ideal  ISSN  10053867; 02191733/e 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S1005386711000800 
Language  English  Journal  Algebra Colloq.  Volume  18  Pages  925936  Publisher  World Scientific, Singapore; Chinese Academy of Sciences, Academy of Mathematics & Systems Science,  Year  2011  Edition  0  Translation 
No  Refereed 
No 
