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<p>We provide a free resolution of the symmetric algebra of the ideal of an <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((n+1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-generated ideal of depth <i>n</i> over a Noetherian ring. The resolution is given in terms of the resolution of the ideal itself and of a Buchsbaum-Rim complex associated to an explicit map.</p>

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Resolution of the symmetric algebra of an (n+1)-generated ideal of depth n

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Rémi Bignalet-Cazalet

摘要

We provide a free resolution of the symmetric algebra of the ideal of an \((n+1)\) ( n + 1 ) -generated ideal of depth n over a Noetherian ring. The resolution is given in terms of the resolution of the ideal itself and of a Buchsbaum-Rim complex associated to an explicit map.