منابع مشابه
Resolutions of small sets of fat points
We investigate the minimal graded free resolutions of ideals of at most n + 1 fat points in general position in Pn. Our main theorem is that these ideals are componentwise linear. This result yields a number of corollaries, including the multiplicity conjecture of Herzog, Huneke, and Srinivasan in this case. On the computational side, using an iterated mapping cone process, we compute formulas ...
متن کامل0 Ju n 20 05 Resolutions of ideals of six fat points in P 2
The graded Betti numbers of the minimal free resolution (and also therefore the Hilbert function) of the ideal of a fat point subscheme Z of P are determined whenever Z is supported at any 6 or fewer distinct points. We also handle a broad range of cases in which the points can be infinitely near, related to the classification of normal cubic surfaces. All results hold over an arbitrary algebra...
متن کاملResolutions of Subsets of Finite Sets of Points in Projective Space
Given a finite set, X, of points in projective space for which the Hilbert function is known, a standard result says that there exists a subset of this finite set whose Hilbert function is “as big as possible” inside X. Given a finite set of points in projective space for which the minimal free resolution of its homogeneous ideal is known, what can be said about possible resolutions of ideals o...
متن کاملHilbert functions and resolutions for ideals of n = s 2 fat points in P 2
Conjectures for the Hilbert function of the mth symbolic power of the ideal of n general points of P are verified for infinitely many m for each square n > 9, using an approach developed by the authors in a previous paper. In those cases that n is even, conjectures for the resolution are also verified. Previously, by work of Evain (for the Hilbert function) and of Harbourne, Holay and Fitchett ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2005
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2005.03.004