|Title||Revlex Standard Bases Of Generic Complete Intersections|
|Author(s)|| Guillermo Moreno-Socias|
|Type||Technical Report, Misc|
|Abstract||In this paper we study the Hilbert-Samuel function of a generic|
standard graded K-algebra 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 degree-reverse-lexicographic 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 generic-like cases.