A priori estimates for Donaldson's equation over compact Hermitian manifolds

作者：Li, Yi^*

来源：Calculus of Variations and Partial Differential Equations, 2014, 50(3-4): 867-882.

DOI：10.1007/s00526-013-0659-8

In this paper we prove a priori estimates for Donaldson equation's
omega<^> (x root-1 partial derivative <(partial derivative)over bar >phi)(n-1) = e(F) (x root-1 partial derivative(partial derivative) over bar phi)(n)
over a compact complex manifold of complex dimension , where and are arbitrary Hermitian metrics. Our estimates answer a question of Tosatti-Weinkove (Asian J. Math. 14:19-40, 2010).

• 出版日期2014-7
• 单位上海交通大学