Moduli of polarised manifolds via canonical K\"ahler metrics

Philipp Naumann; Ruadha\'i Dervan

Moduli of polarised manifolds via canonical K\"ahler metrics

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arxiv 1810.02576 v4 pith:JYUFMLQK submitted 2018-10-05 math.AG math.DG

Ruadhaí Dervan , Philipp Naumann This is my paper

classification math.AGmath.DG

keywords ahlermanifoldsmetricmodulipolarisedspaceadmitadmits

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We construct a moduli space of polarised manifolds which admit a constant scalar curvature K\"ahler metric. We show that this space admits a natural K\"ahler metric.

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Poisson K-stability and the semiclassical Yau--Tian--Donaldson correspondence
math.DG 2026-07 accept novelty 7.5 of 10

Polystable Poisson structures on Kähler–Einstein Fano manifolds admit constant-scalar-curvature symplectic generalized Kähler metrics for small enough Poisson tensors, settling the semiclassical YTD conjecture on P².

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