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fixed a typo
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edit approved Apr 25, 2014 at 15:07
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edit approved Apr 25, 2014 at 15:07
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symmetric Symmetric algebra of an ideal and syzygies

Let $(R,\mathfrak{m})$ be a Cohen Macaulay local ring and $I=(a+1,\ldots,a_g,a_{g+1})$$I=(a_1,\ldots,a_g,a_{g+1})$ an almost complete intersection ideal of codimension $g.$ Let $R^k\longrightarrow R^{g+1}\longrightarrow I\longrightarrow 0$ be a finite presentation of $I.$ What is the relation between symmetric algebra of $I,$ i.e. $Sym(I)$ and the syzygies matrix?

symmetric algebra of an ideal and syzygies

Let $(R,\mathfrak{m})$ be a Cohen Macaulay local ring and $I=(a+1,\ldots,a_g,a_{g+1})$ an almost complete intersection ideal of codimension $g.$ Let $R^k\longrightarrow R^{g+1}\longrightarrow I\longrightarrow 0$ be a finite presentation of $I.$ What is the relation between symmetric algebra of $I,$ i.e. $Sym(I)$ and the syzygies matrix?

Symmetric algebra of an ideal and syzygies

Let $(R,\mathfrak{m})$ be a Cohen Macaulay local ring and $I=(a_1,\ldots,a_g,a_{g+1})$ an almost complete intersection ideal of codimension $g.$ Let $R^k\longrightarrow R^{g+1}\longrightarrow I\longrightarrow 0$ be a finite presentation of $I.$ What is the relation between symmetric algebra of $I,$ i.e. $Sym(I)$ and the syzygies matrix?

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symmetric algebra of an ideal and syzygies

Let $(R,\mathfrak{m})$ be a Cohen Macaulay local ring and $I=(a+1,\ldots,a_g,a_{g+1})$ an almost complete intersection ideal of codimension $g.$ Let $R^k\longrightarrow R^{g+1}\longrightarrow I\longrightarrow 0$ be a finite presentation of $I.$ What is the relation between symmetric algebra of $I,$ i.e. $Sym(I)$ and the syzygies matrix?