The family of perfect ideals of codimension 3, of type 2 with 5 generators

Celikbas, Ela; Laxmi, Jai; Kraśkiewicz, Witold; Weyman, Jerzy

doi:10.1090/proc/14646

The family of perfect ideals of codimension 3, of type 2 with 5 generators
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by Ela Celikbas, Jai Laxmi, Witold Kraśkiewicz and Jerzy Weyman

Proc. Amer. Math. Soc. 148 (2020), 2745-2755

DOI: https://doi.org/10.1090/proc/14646

Published electronically: March 30, 2020

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Abstract:

In this paper we define an interesting family of perfect ideals of codimension three, with five generators, of Cohen-Macaulay type two with trivial multiplication on the $\operatorname {Tor}$ algebra. This family is likely to play a key role in classifying perfect ideals with five generators of type two.

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