Geodesic
The Hilbert series of Hodge ideals of hyperplane arrangements
Journal of Singularities, Tome 20 (2020), pp. 232-250

Voir la notice de l'article provenant de la source Journal of Singularities website

Given a reduced effective divisor D on a smooth variety X, we describe the generating function for the classes of the Hodge ideals of D in the Grothendieck group of coherent sheaves on X in terms of the motivic Chern class of the complement of the support of D. As an application, we compute the generating function for the Hilbert series of Hodge ideals of a hyperplane arrangement in terms of the Poincaré polynomial of the arrangement.
DOI : 10.5427/jsing.2020.20j
Classification : 14F10, 14B05, 32S22 
@article{10_5427_jsing_2020_20j,
     author = {Bradley Dirks and Mircea Musta\c{t}\u{a}},
     title = {The {Hilbert} series of {Hodge} ideals of hyperplane arrangements},
     journal = {Journal of Singularities},
     pages = {232--250},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20j},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20j/}
}
TY  - JOUR
AU  - Bradley Dirks
AU  - Mircea Mustaţă
TI  - The Hilbert series of Hodge ideals of hyperplane arrangements
JO  - Journal of Singularities
PY  - 2020
SP  - 232
EP  - 250
VL  - 20
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20j/
DO  - 10.5427/jsing.2020.20j
ID  - 10_5427_jsing_2020_20j
ER  - 
%0 Journal Article
%A Bradley Dirks
%A Mircea Mustaţă
%T The Hilbert series of Hodge ideals of hyperplane arrangements
%J Journal of Singularities
%D 2020
%P 232-250
%V 20
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20j/
%R 10.5427/jsing.2020.20j
%F 10_5427_jsing_2020_20j
Bradley Dirks; Mircea Mustaţă. The Hilbert series of Hodge ideals of hyperplane arrangements. Journal of Singularities, Tome 20 (2020), pp. 232-250. doi: 10.5427/jsing.2020.20j

Cité par Sources :