TY - JOUR
ID - 4809
TI - On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables
JO - Journal of Algebra and Related Topics
JA - JART
LA - en
SN - 2345-3931
AU - Al-Shujary, A.
AD - Department of
Mathematics, Link"oping University, Link"oping, Sweden.
Y1 - 2021
PY - 2021
VL - 9
IS - 1
SP - 61
EP - 78
KW - Poisson algebras
KW - rational functions
KW - moduli spaces
DO - 10.22124/jart.2021.15242.1183
N2 - 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.
UR - https://jart.guilan.ac.ir/article_4809.html
L1 - https://jart.guilan.ac.ir/article_4809_89b7e7dc3f8e65b783bedf43379c187d.pdf
ER -