Geodesic
Degrees of Regular Sequences With a Symmetric Group Action
Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 557-578

Voir la notice de l'article provenant de la source Cambridge

DOI

We consider ideals in a polynomial ring that are generated by regular sequences of homogeneous polynomials and are stable under the action of the symmetric group permuting the variables. In previous work, we determined the possible isomorphism types for these ideals. Following up on that work, we now analyze the possible degrees of the elements in such regular sequences. For each case of our classification, we provide some criteria guaranteeing the existence of regular sequences in certain degrees.
DOI : 10.4153/CJM-2017-035-3
Mots-clés : complete intersection, symmetric group, regular sequence 
Galetto, Federico; Geramita, Anthony Vito; Wehlau, David Louis. Degrees of Regular Sequences With a Symmetric Group Action. Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 557-578. doi: 10.4153/CJM-2017-035-3
@article{10_4153_CJM_2017_035_3,
     author = {Galetto, Federico and Geramita, Anthony Vito and Wehlau, David Louis},
     title = {Degrees of {Regular} {Sequences} {With} a {Symmetric} {Group} {Action}},
     journal = {Canadian journal of mathematics},
     pages = {557--578},
     year = {2019},
     volume = {71},
     number = {3},
     doi = {10.4153/CJM-2017-035-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-035-3/}
}
TY  - JOUR
AU  - Galetto, Federico
AU  - Geramita, Anthony Vito
AU  - Wehlau, David Louis
TI  - Degrees of Regular Sequences With a Symmetric Group Action
JO  - Canadian journal of mathematics
PY  - 2019
SP  - 557
EP  - 578
VL  - 71
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-035-3/
DO  - 10.4153/CJM-2017-035-3
ID  - 10_4153_CJM_2017_035_3
ER  - 
%0 Journal Article
%A Galetto, Federico
%A Geramita, Anthony Vito
%A Wehlau, David Louis
%T Degrees of Regular Sequences With a Symmetric Group Action
%J Canadian journal of mathematics
%D 2019
%P 557-578
%V 71
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-035-3/
%R 10.4153/CJM-2017-035-3
%F 10_4153_CJM_2017_035_3

Cité par Sources :