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Elliptic, parabolic and hyperbolic operators. Laplace, Laplace-Beltrami, Schrödinger, Dirac. Exterior derivative and Lie derivative operators.

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a question about complex Hessians on complex tori

Let me copy my remark to close the topic. If $\partial \bar \partial f$ is a constant matrix on $\mathbb C^n$, then it follows that for any complex line $L\subset \mathbb C^n$, $\Delta (f|_L)$ is co …
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