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On moduli spaces of K\"ahler-Poisson algebras over rational functions in two variables | ||
| Journal of Algebra and Related Topics | ||
| دوره 9، شماره 1، شهریور 2021، صفحه 61-78 اصل مقاله (307.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.15242.1183 | ||
| نویسنده | ||
| A. Al-Shujary* | ||
| Department of Mathematics, Link"oping University, Link"oping, Sweden. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Poisson algebras؛ rational functions؛ moduli spaces | ||
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آمار تعداد مشاهده مقاله: 602 تعداد دریافت فایل اصل مقاله: 545 |
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