Knutson ideals and determinantal ideals of Hankel matrices

[摘要] Motivated by a work of Knutson, in a recent paper Conca and Varbaro have defined a new class of ideals, namely Knutson ideals, starting from a polynomial fwith squarefree leading term. We will show that the main properties that this class has in polynomial rings over fields of characteristic pare preserved when one introduces the definition of Knutson ideal also in polynomial rings over fields of characteristic zero. Then we will show that determinantal ideals of Hankel matrices are Knutson ideals for a suitable choice of the polynomial f. (c) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-12-01