论文标题
关于扭曲的交换代数的投影维度的注释
A note on projective dimension over twisted commutative algebras
论文作者
论文摘要
让$ m $成为一个有限生成的模块，这是一个自由扭曲的交换代数$ a $，该模块是有限的。我们表明，$ m（{\ bf c}^n）$的投影尺寸为$ a（{\ bf c}^n）$ - 模块最终以$ n $的函数为线性。这证实了LE，Nagel，Nguyen和Römer的猜想，用于特殊的模块。
Let $M$ be a finitely generated module over a free twisted commutative algebra $A$ that is finitely generated in degree one. We show that the projective dimension of $M({\bf C}^n)$ as an $A({\bf C}^n)$-module is eventually linear as a function of $n$. This confirms a conjecture of Le, Nagel, Nguyen, and Römer for a special class of modules.
