Existence of unimodular element in a projective module over symbolic Rees algebras

Abstract

Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$. Let $P$ be a finitely generated projective $A$-module of rank $\ge$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras.

Cited by in corpus (1)

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