Ideals attaining a given Hilbert function
Rodriguez, Matthew J.
Illinois J. Math., Tome 44 (2000) no. 4, p. 821-827 / Harvested from Project Euclid
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We improve the result of Charalambous and Evans [C-E] to show that the Betti number sequence in their example of incomparable minimals among the resolutions for a fixed Hilbert function is indeed minimal. Their example was dependent upon the graded betti numbers. We give an example of a finite length Hilbert function and two cyclic finite length modules attaining the Hilbert function for which the betti number sequences are incomparable, i.e., independent of the grading.
Publié le : 2000-12-15
Classification:  13D40,  13D02 
@article{1255984693,
     author = {Rodriguez, Matthew J.},
     title = {Ideals attaining a given Hilbert function},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 821-827},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984693}
}

Rodriguez, Matthew J. Ideals attaining a given Hilbert function. Illinois J. Math., Tome 44 (2000) no. 4, pp.  821-827. http://gdmltest.u-ga.fr/item/1255984693/