105 citations · 275 across the 27 of their papers we have counts for
Showing 2010Show all
2 papers · 1 filter
math.AG2010★ 9 cited
Alpha invariant and K-stability of Q-Fano varieties
Yuji Odaka, Yuji Sano
We give a purely algebro-geometric proof that if the alpha-invariant of a Q-Fano variety X is greater than dim X/(dim X+1), then (X,O(-K_X)) is K-stable. The key of our proof is a…
math.AG2010★ 2 cited
The Calabi conjecture and K-stability
Yuji Odaka
We algebraically prove K-stability of polarized Calabi-Yau varieties and canonically polarized varieties with mild singularities. In particular, the} "stable varieties" introduced…