Holm studied modules of higher-order differential operators (generalizing derivations) on generic (central) hyperplane arrangements. We use his results to determine the Hilbert series of these modules. We also give a conjecture about the Poincaré-Betti series; these are known for the module of derivations through the work of Yuzvinsky and Rose and Terao.
Publié le : 2005-05-14
Classification:
Ring of differential operators,
hyperplane arrangement,
free resolution,
13N10,
14J70
@article{1136926975,
author = {Snellman, Jan},
title = {A Conjecture on Poincar\'e-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement},
journal = {Experiment. Math.},
volume = {14},
number = {1},
year = {2005},
pages = { 445-456},
language = {en},
url = {http://dml.mathdoc.fr/item/1136926975}
}
Snellman, Jan. A Conjecture on Poincaré-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement. Experiment. Math., Tome 14 (2005) no. 1, pp. 445-456. http://gdmltest.u-ga.fr/item/1136926975/