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Some refinements of the partial $C^0$ estimate
Published 26 Nov 2019 in math.DG | (1911.11328v1)
Abstract: Relying on the recent work of Liu-Sz\'ekelyhidi we give a weak asymptotic estimate for the Bergman kernels of polarized K\"ahler manifolds with Ricci lower bound and Sobolev constant upper bound. We will also give a simple proof for the partial $C0$ estimate along the (generalized) K\"ahler-Ricci flow on Fano manifolds.
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