Regularity of Tor for weakly stable ideals

2015/04/18 by Ansaldi, Katie, Clarke, Nicholas, Ferraro, Luigi
#Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 13D02 #Secondary: 13D07

paper · doi:10.48550/arxiv.1504.04718

Abstract

It is proved that if I and J are weakly stable ideals in a polynomial ring R=k[x₁,…,x_n], with k a field, then the regularity of Tor^R_i(R/I,R/J) has the expected upper bound. We also give a bound for the regularity of Ext_Rⁱ(R/I,R) for I a weakly stable ideal.

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