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.
Al-Shujary, A. (2021). On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables. Journal of Algebra and Related Topics, 9(1), 61-78. doi: 10.22124/jart.2021.15242.1183
MLA
A. Al-Shujary. "On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables". Journal of Algebra and Related Topics, 9, 1, 2021, 61-78. doi: 10.22124/jart.2021.15242.1183
HARVARD
Al-Shujary, A. (2021). 'On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables', Journal of Algebra and Related Topics, 9(1), pp. 61-78. doi: 10.22124/jart.2021.15242.1183
VANCOUVER
Al-Shujary, A. On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables. Journal of Algebra and Related Topics, 2021; 9(1): 61-78. doi: 10.22124/jart.2021.15242.1183
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