182 citations · 759 across the 71 of their papers we have counts for
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math.AG2012★ 11 cited
Stability conditions and birational geometry of projective surfaces
Yukinobu Toda
We show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of cohe…
math.AG2012★ 4 cited
Stability conditions and extremal contractions
Yukinobu Toda
We show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived c…
math.AG2012★ 3 cited
A note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-folds
Yukinobu Toda
The conjectural Bogomolov-Gieseker (BG) type inequality for tilt semistable objects on projective 3-folds was proposed by Bayer, Macri and the author. In this note, we prove our co…