Comparing complexities of pairs of modules

Details Comparing complexities of pairs of modules Comparing complexities of pairs of modules

2009-11-24

arxiv.org/abs/0911.4543v1

Mathematics

Commutative Algebra

Scientific paper

Let $R$ be a local ring and $M,N$ be finitely generated $R$-modules. The
complexity of $(M,N)$, denoted by $\cxx RMN$, measures the polynomial growth
rate of the number of generators of the modules $\Ext nRMN$. In this paper we
study several basic equalities and inequalities involving complexities of
different pairs of modules.

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