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Mixed volume forms and a complex equation of Monge-Ampère type on Kähler manifolds of positive curvature

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Publication:3577283
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DOI10.1070/IM2010v074n03ABEH002496zbMath1200.32015MaRDI QIDQ3577283

V. N. Kokarev

Publication date: 22 July 2010

Published in: Izvestiya: Mathematics (Search for Journal in Brave)


zbMATH Keywords

Kähler manifoldMonge-Ampère equation


Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)


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Fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric ⋮ Complex Hessian equations with prescribed singularity on compact Kähler manifolds ⋮ Solutions to degenerate complex Hessian equations ⋮ The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold ⋮ \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry ⋮ Unnamed Item ⋮ A variational approach to complex Hessian equations in \(\mathbb{C}^n\)



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