169 citations · 484 across the 18 of their papers we have counts for
4 papers · 1 filter
Volume growth, curvature decay, and critical metrics
Jeff Viaclovsky, Gang Tian
We make some improvements to our previous results. First, we prove a version of our volume growth theorem which does not require any assumption on the first Betti number. Second, w…
CM Stability And The Generalized Futaki Invariant II
Sean Timothy Paul, Gang Tian
The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family . Consequently we show that the ge…
CM Stability and the Generalized Futaki Invariant I
Sean T. Paul, Gang Tian
Based on the Cayley, Grothendieck, Knudsen Mumford theory of determinants we extend the CM polarization to the Hilbert scheme. We identify the weight of this refined line bundle wi…
The Kähler-Ricci flow on surfaces of positive Kodaira dimension
Jian Song, Gang Tian
The existence of Kähler-Einstein metrics on a compact Kähler manifold has been the subject of intensive study over the last few decades, following Yau's solution to Calabi's conjec…