Details:
Title  Ideals, bifiltered modules and bivariate Hilbert polynomials  Author(s)  Giuseppa Carrà Ferro  Type  Article in Journal  Abstract  Let R be a ring of polynomials in m + n variables over a field K and let I be an ideal in R . Furthermore, let ( R_rs ) r , s ∈ Z be the natural bifiltration of the ring R and let ( M_rs ) r , s ∈ Z be the corresponding natural bifiltration of the R module M = R / I associated with the given set of generators introduced by Levin. The author shows an algorithm for constructing a characteristic set G = g_1 , … , g_s of I with respect to a special type of reduction introduced by Levin, that allows one to find the Hilbert polynomial in two variables of the bifiltered and bigraded R module R / I . This algorithm can be easily extended to the case of bifiltered R submodules of free R modules of finite rank p over R .  Keywords  Bidegree preserving term ordering, Lreduction, Characteristic set, Bivariate Hilbert polynomials  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717105001471 
Language  English  Journal  Journal of Symbolic Computation  Volume  41  Number  1  Pages  112  121  Year  2006  Edition  0  Translation 
No  Refereed 
No 
