Faltings Heights, Igusa Local Zeta Functions, and the Stability Conjectures in Kahler Geometry I

2019/10/15 by Sean Timothy Paul, Paul, Sean Timothy
Mathematics · #53 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1910.06713

openalex publication_date 2019/10/15 · openalex created_date 2019/10/25 · openalex updated_date 2026/07/28

Abstract

Let (X,L) be a polarized manifold. Assume that the automorphism group is finite. If the height discrepancy of (X,L) is O(d²) then (X,L) admits a csck metric in the first chern class of L if and only if (X,L) is asymptotically stable.

Citations

• On the constant scalar curvature Kähler metrics, apriori estimates

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