Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane
Alessandro Gimigliano, Brian Harbourne, and Monica Idà
Source: Bull. Belg. Math. Soc. Simon Stevin
Volume 16, Number 5
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.
Full-text: Access denied (no subscription
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1260369403
Zentralblatt MATH identifier: 05658087
Mathematical Reviews number (MathSciNet): MR2574365