75 citations · 334 across the 43 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.CV2016★ 2 cited
Restricted volumes on Kähler manifolds
Tristan C. Collins, Valentino Tosatti
We study numerical restricted volumes of (1,1) classes on compact Kahler manifolds, as introduced by Boucksom. Inspired by work of Ein-Lazarsfeld-Mustata-Nakamaye-Popa on restricte…
math.AP2016★ 4 cited
Concavity of the Lagrangian Phase Operator and Applications
Tristan C. Collins, Sebastien Picard, Xuan Wu
We study the Dirichlet problem for the Lagrangian phase operator, in both the real and complex setting. Our main result states that if is a compact domain in o…
hep-th2016★ 15 cited
K stability and stability of chiral ring
Tristan C. Collins, Dan Xie, Shing-Tung Yau
We define a notion of stability for chiral ring of four dimensional N=1 theory by introducing test chiral rings and generalized a maximization. We conjecture that a chiral ring is…