Differential operators on Hitchin variety

نویسندگان

چکیده

We introduce the notion of Hitchin variety over C. Let L be a holomorphic line bundle X. investigate space all global sections sheaf differential operators Dk(L) and symmetric powers first order Sk(D1(L)) X show that for projective Hithcin both spaces are one dimensional. As an application, we C(L) connections on does not admit any non-constant regular function.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2020.08.031