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

Sean Timothy Paul

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arXiv · 1910.06713

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

Sean Timothy Paul

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Abstract

Let (X,L) be a polarized manifold. Assume that the automorphism group is finite. If the height discrepancy of (X,L) is O(d^2) then (X,L) admits a csck metric in the first chern class of L if and only if (X,L) is asymptotically stable.

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BibTeX RIS

Sean Timothy Paul. 2019-10-15. Faltings Heights, Igusa Local Zeta Functions, and the Stability Conjectures in Kahler Geometry I. https://arxiv.org/abs/1910.06713

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