54 citations · 133 across the 13 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.DG2006★ 2 cited
Deligne pairings and the Knudsen-Mumford expansion
D. H. Phong, Julius Ross, Jacob Sturm
Let be a proper flat morphism between smooth quasi-projective varieties of relative dimension , and a line bundle which is ample on the fibers. We establish fo…
math.DG2006★ 29 cited
Multiplier Ideal Sheaves and the Kähler-Ricci Flow
D. H. Phong, Natasa Sesum, Jacob Sturm
Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and…
math.DG2006
Test Configurations for K-Stability and Geodesic Rays
D. H. Phong, Jacob Sturm
Let be a compact complex manifold, an ample line bundle over , and the space of all positively curved metrics on . We show that a pair consi…