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pro vyhledávání: '"Donaldson, S. K."'
Autor:
Donaldson, S. K.
We extend an argument of Stoppa to make some prgress towards a proof that K\"ahler-Einstein manifolds are "b-stable". We point out some algebro-geometric questions, involving finite generation, that arise.
Externí odkaz:
http://arxiv.org/abs/1107.1699
Autor:
Chen, X-X., Donaldson, S. K.
This paper extends our earlier results to higher dimensions using a different approach, based on the rigidity of complex structures on certain domains.
Externí odkaz:
http://arxiv.org/abs/1104.4331
Autor:
Chen, X-X., Donaldson, S. K.
We obtain an estimate for the volume of neighbourhoods of sets of large curvature in three-dimensional K\"ahler-Einstein manifolds.
Comment: Reference added
Comment: Reference added
Externí odkaz:
http://arxiv.org/abs/1104.0270
Autor:
Donaldson, S. K.
We explain a simple construction of solutions to a family of PDE's in two dimensions which includes that defining zero scalar curvature Kahler metrics, with two Killing fields, and the affine maximal equation.
Externí odkaz:
http://arxiv.org/abs/0805.0127
Autor:
Donaldson, S. K.
This paper completes a programme to determine which toric surfaces admit Kahler metrics of constant scalar curvature/
Externí odkaz:
http://arxiv.org/abs/0805.0128
Autor:
Donaldson, S. K.
This is an expository article. Among other topics, we discuss the existence of Kahler-Ricci soliton metrics on toric Fano manifolds, and Kahler-Einstein metrics on deformations of the Mukai-Umemura 3-fold
Comment: Section 3.3 has been changed to
Comment: Section 3.3 has been changed to
Externí odkaz:
http://arxiv.org/abs/0803.0985
Autor:
Bunch, R. S., Donaldson, S. K.
We give some detailed numerical information about extremal metrics on four different toric surfaces. These are sample of many other cases which can be treated using a computer programme outlined in the paper.
Externí odkaz:
http://arxiv.org/abs/0803.0987