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The Fu-Yau Equation in Higher Dimensions 被引量:2
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作者 jianchun chu Liding Huang Xiaohua Zhu 《Peking Mathematical Journal》 2019年第1期71-97,共27页
In this paper,we prove the existence of solutions to the Fu-Yau equation on com-pact Kähler manifolds.As an application,we give a class of non-trivial solutions of the modified Strominger system.
关键词 The Fu-Yau equation Strominger system 2-nd Hessian equation
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Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds
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作者 jianchun chu Bin Zhou 《Science China Mathematics》 SCIE CSCD 2019年第2期371-380,共10页
In this paper, we prove the C^(1,1)-regularity of the plurisubharmonic envelope of a C^(1,1) function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp.
关键词 complex Monge-Ampère EQUATIONS plurisubharmonic FUNCTIONS ENVELOPES HERMITIAN MANIFOLDS
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