Scalar curvature and deformations of complex structures

نویسندگان

چکیده

Abstract We study a system of equations on compact complex manifold, that couples the scalar curvature Kähler metric with spectral function first-order deformation structure. The comes from an infinite-dimensional reduction, which is hyperkähler reduction for particular choice function. main tool studying flat connection space deformations structure, allows to obtain formal complexification moment map equations. Using this connection, we describe variational characterization equations, Futaki invariant system, and generalization K-stability conjectured characterize existence solutions.

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ژورنال

عنوان ژورنال: Crelle's Journal

سال: 2023

ISSN: ['1435-5345', '0075-4102']

DOI: https://doi.org/10.1515/crelle-2023-0010