TY - JOUR
T1 - Degrees of regular sequences with a symmetric group action
AU - Galetto, Federico
AU - Geramita, Anthony Vito
AU - Wehlau, David Louis
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Complete intersection
KW - Regular sequence
KW - Symmetric group
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85066065707&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85066065707&origin=inward
U2 - 10.4153/CJM-2017-035-3
DO - 10.4153/CJM-2017-035-3
M3 - Article
SN - 0008-414X
VL - 71
SP - 557
EP - 578
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
IS - 3
ER -