University of Guilan Journal of Algebra and Related Topics 2345-3931 9 1 2021 06 01 On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables 61 78 4809 10.22124/jart.2021.15242.1183 EN A. Al-Shujary Department of Mathematics, Link"oping University, Link"oping, Sweden. Journal Article 2019 12 20 K\"ahler-Poisson algebras were introduced as algebraic analogues of function algebras on K\"ahler manifolds, and it turns out that one can develop geometry for these algebras in a purely algebraic way. A K\"ahler-Poisson algebra consists of a Poisson algebra together with the choice of a metric structure, and a natural question arises: For a given Poisson algebra, how many different metric structures are there, such that the resulting K\"ahler-Poisson algebras are non-isomorphic? In this paper we initiate a study of such moduli spaces of K\"ahler-Poisson algebras defined over rational functions in two variables.

https://jart.guilan.ac.ir/article_4809_89b7e7dc3f8e65b783bedf43379c187d.pdf