Geodesic
On the Smith normal form of Varchenko matrix
Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 351-362.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

Let A be a hyperplane arrangement in A isomorphic to ℝn. Let Vq be the q-Varchenko matrix for the arrangement A with all hyperplane parameters equal to q. In this paper, we consider three interesting cases of q-Varchenko matrices associated to hyperplane arrangements. We show that they have a Smith normal form over ℤ[q].
DOI : 10.26493/1855-3974.2262.9b8
Keywords: Hyperplane arrangement, Smith normal form, Varchenko matrix 
@article{10_26493_1855_3974_2262_9b8,
     author = {Tommy Wuxing Cai and Yue Chen and Lili Mu},
     title = {On the {Smith} normal form of {Varchenko} matrix},
     journal = {Ars Mathematica Contemporanea},
     pages = {351--362},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2020},
     doi = {10.26493/1855-3974.2262.9b8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2262.9b8/}
}
TY  - JOUR
AU  - Tommy Wuxing Cai
AU  - Yue Chen
AU  - Lili Mu
TI  - On the Smith normal form of Varchenko matrix
JO  - Ars Mathematica Contemporanea
PY  - 2020
SP  - 351
EP  - 362
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2262.9b8/
DO  - 10.26493/1855-3974.2262.9b8
LA  - en
ID  - 10_26493_1855_3974_2262_9b8
ER  - 
%0 Journal Article
%A Tommy Wuxing Cai
%A Yue Chen
%A Lili Mu
%T On the Smith normal form of Varchenko matrix
%J Ars Mathematica Contemporanea
%D 2020
%P 351-362
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2262.9b8/
%R 10.26493/1855-3974.2262.9b8
%G en
%F 10_26493_1855_3974_2262_9b8
Tommy Wuxing Cai; Yue Chen; Lili Mu. On the Smith normal form of Varchenko matrix. Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 351-362. doi : 10.26493/1855-3974.2262.9b8. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2262.9b8/

Cité par Sources :