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TitleRevlex Standard Bases Of Generic Complete Intersections
Author(s) Guillermo Moreno-Socias
TypeTechnical Report, Misc
AbstractIn 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.
Translation No
Refereed No