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.
A. Gimigliano, B. Harbourne, M. Idà (2009). Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN, 16, n. 5, 853-860.
Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane
GIMIGLIANO, ALESSANDRO;IDA', MONICA
2009
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.File in questo prodotto:
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