University of GuilanJournal of Algebra and Related Topics2345-39319120210601On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables6178480910.22124/jart.2021.15242.1183ENA.Al-ShujaryDepartment of
Mathematics, Link"oping University, Link"oping, Sweden.Journal Article20191220K\"ahler-Poisson algebras were introduced as algebraic analogues of<br /> function algebras on K\"ahler manifolds, and it turns out that one<br /> can develop geometry for these algebras in a purely algebraic way. A<br /> K\"ahler-Poisson algebra consists of a Poisson algebra together with<br /> the choice of a metric structure, and a natural question arises: For<br /> a given Poisson algebra, how many different metric structures are<br /> there, such that the resulting K\"ahler-Poisson algebras are<br /> non-isomorphic? In this paper we initiate a study of such moduli<br /> spaces of K\"ahler-Poisson algebras defined over rational functions<br /> in two variables.https://jart.guilan.ac.ir/article_4809_89b7e7dc3f8e65b783bedf43379c187d.pdf