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 University Press

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
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