Details:
Title  Revlex Standard Bases Of Generic Complete Intersections  Author(s)  Guillermo MorenoSocias  Type  Technical Report, Misc  Abstract  In this paper we study the HilbertSamuel function of a generic
standard graded Kalgebra K[X1, ... ,Xn] = (g1, ... , gm) when refined by an (`)adic filtration, ` being a linear form. From this we obtain a structure theorem which describes the stairs of a generic complete intersection for the degreereverselexicographic order. We show what this means for generic standard (or Grobner) bases for this order; in particular, we consider an "orderly filling up" conjecture, and we propose a strategy for the standard basis algorithm which could be useful in genericlike cases. 
Language  English  Year  2005  Translation 
No  Refereed 
No 
