Details:
Title  Generic sequences of polynomials  Author(s)  Keith Pardue  Type  Article in Journal  Abstract  Let I be an ideal in a polynomial ring S over an infinite field such that I is generated by a generic sequence of homogeneous polynomials of specified degrees. Fröberg has conjectured a formula for the Hilbert series of S / I . MorenoSocías has conjectured a combinatorial property for the initial ideal of I with respect to degree reverse lexicographic order. I show that MorenoSocías  Keywords  Commutative algebra, Hilbert functions, Gröbner bases, Generic properties  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869310001948 
Language  English  Journal  Journal of Algebra  Volume  324  Number  4  Pages  579  590  Year  2010  Edition  0  Translation 
No  Refereed 
No 
