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arXiv · 2301.05394

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

Chandan Bhaumik·Husney Parvez Sarwar
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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 $\geq$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras.

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Chandan Bhaumik, Husney Parvez Sarwar. 2023-01-13. Existence of unimodular element in a projective module over symbolic Rees algebras. https://doi.org/10.1007/s12044-023-00768-w

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