Bipolynomial Hilbert functions

作者：Carlini Enrico^*; Catalisano Maria Virginia; Geramita Anthony V

来源：Journal of Algebra, 2010, 324(4): 758-781.

DOI：10.1016/j.jalgebra.2010.04.008

• Hilbert functions
• Subspaces arrangements
• Configuration of linear spaces
• Degenerations
• Castelnuovo's sequences

Let X subset of P(n) be a closed subscheme and let HF(X, ) and hp(X, ) denote, respectively, the Hilbert function and the Hilbert polynomial of X We say that X has bipolynomial Hilbert junction if HF(X, d) = min{hp(P(n), d), hp(X, d)} for every d is an element of N. We show that if X consists of a plane and generic lines, then X has bipolynomial Hilbert function. We also conjecture that generic configurations of non-intersecting linear spaces have bipolynomial Hilbert function.

• 出版日期2010-8-15