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The filtration method in K-stability and Diophantine approximation
Title
The filtration method in K-stability and Diophantine approximation
Author
Min Ru
Keyword
Diophantine approximation, Nevanlinna theory, filtration, stability, Schmidt's subspace theorem, holomorphic maps, algebraic varieties
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Abstract

This manuscript originated from lecture notes for the short course "The Filtration Method in Diophantine Approximation and K-Stability," delivered at the National Center for Theoretical Sciences (NCTS), Taiwan, August 9–13, 2023. It provides an introduction to the filtration method as applied to the study of K-stability and Diophantine approximation.

AMS Subject
Classification
Primary: 32H30; Secondary: 32Q45, 30D35, 32Q26, 32P05, 32U05, 14J45, 14G22
Received
2026-01-26
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