3 papers
math.DG2026
Finiteness and rigidity of optimal destabilizing subvarieties for the J-equation
P. Sivaram, Zakarias Sjöström Dyrefelt
We prove that when the J-equation does not admit a smooth solution, there is always only a finite number of obstructing optimally destabilizing curves and divisors on compact Kähle…
math.DG2023
A note on the PDE approach to the estimates for complex Hessian equations on transverse Kähler manifolds
Sivaram P
We adapt the PDE approach of Guo-Phong-Tong and Guo-Phong-Tong-Wang [17, 18] to prove an estimate for transverse complex Monge-Ampère equations on homologically orientab…
math.DG2023
A note on modified -Flow with the Calabi Ansatz
Sivaram P
We study the modified -flow introduced in [15], particularly the singularities of the flow using the Calabi symmetry. In [20], on toric manifolds the convergence of modified …