Details:
Title  Parametrizations of ideals in K[x,y] and K[x,y,z]  Author(s)  Alexandru Constantinescu  Type  Article in Journal  Abstract  We parametrize the affine space of Artinian affine ideals of K [ x , y ] which have a given initial ideal with respect to the degree reverselexicographic term order. The fact that the term order is degreecompatible allows us to extend the parametrization to the projective case, namely zerodimensional subschemes of P 2 with some extra assumption and to determine the Betti strata of these Gröbner cells. This allows us to prove a formula due to A. Iarrobino for the codimension of the Betti strata of codimension two punctual schemes in P 2 .  Keywords  Gröbner cells, Hilbert scheme of points  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869311004546 
Language  English  Journal  Journal of Algebra  Volume  346  Number  1  Pages  1  30  Year  2011  Edition  0  Translation 
No  Refereed 
No 
