Homogeneous Monge–Ampère Equations and Canonical Tubular Neighbourhoods in Kähler Geometry
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Publication:4612086
DOI10.1093/imrn/rnw200zbMath1405.32063arXiv1403.3282OpenAlexW2962855246MaRDI QIDQ4612086
Julius Ross, David Witt Nyström
Publication date: 22 January 2019
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.3282
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)
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On the maximal rank problem for the complex homogeneous Monge-Ampère equation ⋮ From the Kähler-Ricci flow to moving free boundaries and shocks ⋮ Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow ⋮ Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation ⋮ Canonical growth conditions associated to ample line bundles ⋮ Dolbeault cohomologies of blowing up complex manifolds ⋮ Dolbeault cohomologies of blowing up complex manifolds. II: Bundle-valued case
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