2023/12/11 by Max Hallgren, Hallgren, Max
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2312.06577
We show that any tangent cone of a singular shrinking Kähler-Ricci soliton is a normal affine algebraic variety. Moreover, the regular set of such a tangent cone in the metric sense coincides with the regular set in the algebraic sense. Along the way, we give a parabolic proof of Hörmander's L2 estimate, which can be used to solve the ∂-equation on any singular shrinking Kähler-Ricci soliton.