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arxiv: 1702.07628 · v2 · pith:ZMDFA7MNnew · submitted 2017-02-24 · 🧮 math.AG

Moduli of canonically polarized manifolds, higher order Kodaira-Spencer maps, and an analogy to Calabi-Yau manifolds

Georg Schumacher This is my paper
classification 🧮 math.AG
keywords manifoldsmodulicanonicallypolarizedstackaboveahlforsanalogy
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A Finsler metric, whose holomorphic curvature is bounded from above by a negative constant, is constructed on the moduli stack of canonically polarized manifolds including singularities. Demailly's version of Ahlfors' lemma yields hyperbolicity of the moduli stack.

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