References & Citations
Mathematics > Commutative Algebra
Title: Vector-spread monomial ideals and Eliahou-Kervaire type resolutions
(Submitted on 9 Mar 2022 (v1), last revised 2 Nov 2022 (this version, v3))
Abstract: We introduce the class of vector-spread monomial ideals. This notion generalizes that of $t$-spread ideals introduced by Ene, Herzog and Qureshi. In particular, we focus on vector-spread strongly stable ideals, we compute their Koszul cycles and describe their minimal free resolution. As a consequence the graded Betti numbers and the Poincar\'e series are determined. Finally, we consider a generalization of algebraic shifting theory for such a class of ideals.
Submission history
From: Antonino Ficarra [view email][v1] Wed, 9 Mar 2022 10:26:01 GMT (30kb)
[v2] Sun, 20 Mar 2022 10:34:10 GMT (30kb)
[v3] Wed, 2 Nov 2022 23:15:27 GMT (29kb)
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