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math.AG2011★ 15 cited
Testing log K-stability by blowing up formalism
Yuji Odaka, Song Sun
We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results…
math.DG2011★ 5 cited
Note on K-stability of pairs
Song Sun
We prove that a pair (X, D) with X Fano and D a smooth anti-canonical divisor is K-unstable for negative angles, and K-semistable for zero angle.