In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we introduce the generalised Sklyanin-Painleve algebra and characterise its PBW/PHS/Koszul properties. This algebra contains as limiting cases the generalised Sklyanin algebra, Etingof-Ginzburg and Etingof-Oblomkov-Rains quantum del Pezzo and the quantum monodromy manifolds of the Painleve equations.

中文翻译：

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量化的 Painlevé 单一流形、Sklyanin 和 Calabi-Yau 代数

在本文中，我们研究属于某一类的量子德尔佩佐表面。特别地，我们介绍了广义 Sklyanin-Painleve 代数并描述了其 PBW/PHS/Koszul 属性。该代数包含作为极限情况的广义 Sklyanin 代数、Etingof-Ginzburg 和 Etingof-Oblomkov-Rains 量子德尔佩佐以及 Painleve 方程的量子单态流形。