$q$ -恒等式和仿射投射簇，I.二次单项理想
$q$-identities and affinized projective varieties, I. Quadratic monomial ideals
摘要：
我们定义的概念，仿射投射品种，并显示如何可以，在原则上，获得q-身份通过不同的方式计算希尔伯特系列这样的品种。我们进行这个计划的投影品种与二次单项式理想。所得恒等式可用于描述含零态的准粒子系统，并可解释为准粒子Fock空间特征的交替和。
英文摘要：
We define the concept of an affinized projective variety and show how one can, in principle, obtain q-identities by different ways of computing the Hilbert series of such a variety. We carry out this program for projective varieties associated to quadratic monomial ideals. The resulting identities have applications in describing systems of quasi-particles containing null-states and can be interpreted as alternating sums of quasi-particle Fock space characters.
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