105 citations · 275 across the 27 of their papers we have counts for
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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.AG2011★ 4 cited
Log-canonical models of singular pairs and its applications
Yuji Odaka, Chenyang Xu
We prove the existence of log canonical modifications for a log pair. As an application, together with Kollär's gluing theory, we remove the assumption in the first named author's…
math.AG2011★ 4 cited
Birational superrigidity and slope stability of Fano manifolds
Yuji Odaka, Takuzo Okada
We show a relation between the birational superrigidity of Fano manifold and its slope stability in the sense of Ross-Thomas.