## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane

#### Abstract

It is an open problem to determine the Hilbert function and graded Betti numbers for the ideal of a fat point subscheme supported at general points of the projective plane. In fact, there is not yet even a general explicit conjecture for the graded Betti numbers. Here we formulate explicit asymptotic conjectures for both problems. We work over an algebraically closed field $K$ of arbitrary characteristic.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 5 (2009), 853-860.

Dates
First available in Project Euclid: 9 December 2009

http://projecteuclid.org/euclid.bbms/1260369403

Mathematical Reviews number (MathSciNet)
MR2574365

Zentralblatt MATH identifier
05658087

#### Citation

Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica. Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane. Bull. Belg. Math. Soc. Simon Stevin 16 (2009), no. 5, 853--860. http://projecteuclid.org/euclid.bbms/1260369403.