75 citations · 334 across the 43 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.DG2019★ 3 cited
The Dirichlet Problem for the -Hessian Equation on a complex manifold
Tristan C. Collins, Sebastien Picard
We solve the Dirichlet problem for -Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a p…
math.DG2019★ 10 cited
Special Lagrangian submanifolds of log Calabi-Yau manifolds
Tristan C. Collins, Adam Jacob, Yu-Shen Lin
We study the existence of special Lagrangian submanifolds of log Calabi-Yau manifolds equipped with the complete Ricci-flat Kähler metric constructed by Tian-Yau. We prove that if…
math.DG2019★ 1 cited
Concave elliptic equations and generalized Khovanskii-Teissier inequalities
Tristan C. Collins
We explain a general construction through which concave elliptic operators on complex manifolds give rise to concave functions on cohomology. In particular, this leads to generaliz…