Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane
Gimigliano, Alessandro ; Harbourne, Brian ; Idà, Monica
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 853-860 / Harvested from Project Euclid
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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.
Publié le : 2009-12-15
Classification:  Hilbert functions,  graded Betti numbers,  fat points,  splitting types,  14C20,  13P10,  14J26,  14J60 
@article{1260369403,
     author = {Gimigliano, Alessandro and Harbourne, Brian and Id\`a, Monica},
     title = {Stable Postulation and Stable Ideal Generation: Conjectures for Fat Points in the Plane},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 853-860},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1260369403}
}

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, Tome 16 (2009) no. 1, pp.  853-860. http://gdmltest.u-ga.fr/item/1260369403/