标题： 结点三次曲线是一个量子齐次空间 显示英文标题

标题： The Nodal Cubic is a Quantum Homogeneous Space

摘要： 尖点最近被证明具有量子齐次空间的结构，也就是说，它的坐标环$B$可以嵌入到一个Hopf代数$A$中作为一个右余理想子代数，并且$A$作为$B$-模是忠实平坦的。 本文中，对于结点三次曲线的坐标环$B$构造了相应的Hopf代数$A$，从而进一步激发了哪些仿射簇是量子齐次空间的问题。 显示英文摘要

摘要： The cusp was recently shown to admit the structure of a quantum homogeneous space, that is, its coordinate ring $B$ can be embedded as a right coideal subalgebra into a Hopf algebra $A$ such that $A$ is faithfully flat as a $B$-module. In the present article such a Hopf algebra $A$ is constructed for the coordinate ring $B$ of the nodal cubic, thus further motivating the question which affine varieties are quantum homogeneous spaces.