Deformations of complex structures and the coupled K\"ahler-Yang-Mills equations
Differential Geometry
2017-05-17 v1 Algebraic Geometry
Abstract
In this work we define a deformation theory for the Coupled K\"ahler-Yang-Mills equations in arXiv:1102.0991, generalizing work of Sz\'ekelyhidi on constant scalar curvature K\"ahler metrics. We use the theory to find new solutions of the equations via deformation of the complex structure of a polarised manifold endowed with a holomorphic vector bundle. We also study the deformations of the recent examples of Keller and T{\o}nnesen-Friedman.
Keywords
Cite
@article{arxiv.1301.4480,
title = {Deformations of complex structures and the coupled K\"ahler-Yang-Mills equations},
author = {Mario Garcia-Fernandez and Carl Tipler},
journal= {arXiv preprint arXiv:1301.4480},
year = {2017}
}
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19 pages