论文标题
希尔伯特（Hilbert
Hilbert series of symplectic quotients by the 2-torus
论文作者
论文摘要
我们通过$ 2 $ -Torus以及该希尔伯特系列的Laurent扩展的前四个系数在线性符号函数上计算真实常规函数的分级代数的Hilbert系列。我们描述了一种计算希尔伯特系列的算法以及明确示例中的劳伦系数。
We compute the Hilbert series of the graded algebra of real regular functions on a linear symplectic quotient by the $2$-torus as well as the first four coefficients of the Laurent expansion of this Hilbert series at $t = 1$. We describe an algorithm to compute the Hilbert series as well as the Laurent coefficients in explicit examples.
