A property deducible from the generic initial ideal
arXiv:alg-geom/9708020 · doi:10.1016/S0022-4049(97)00165-5
Abstract
Let be the vector space of monomials of degree in the variables . For a subspace $V \sus S_d$ which is in general coordinates, consider the subspace $\gin V \sus S_d$ generated by initial monomials of polynomials in for the revlex order. We address the question of what properties of may be deduced from $\gin V$. % This is an approach for understanding what algebraic or geometric properties of a homogeneous ideal $I \sus k[x_1, ..., x_s]$ that may be deduced from its generic initial ideal $\gin I$.
Completely revised compared to earlier hardcopy versions. AMS-Latex v1.2, 13 pages