4 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
Positivity properties of the vector bundle Monge-Ampère equation
Aashirwad N. Ballal, Vamsi P. Pingali
We study MA-positivity, a notion of positivity relevant to a vector bundle version of the complex Monge--Ampère equation introduced in an earlier work, and show that for rank-two h…
The Demailly system for a direct sum of ample line bundles on Riemann surfaces
Vamsi Pritham Pingali
We prove that a system of equations introduced by Demailly (to attack a conjecture of Griffiths) has a smooth solution for a direct sum of ample line bundles on a Riemann surface.…
A note on Demailly's approach towards a conjecture of Griffiths
Vamsi Pritham Pingali
We prove that a "cushioned" Hermitian-Einstein-type equation proposed by Demailly in an approach towards a conjecture of Griffiths on the existence of a Griffiths positively curved…
Gravitating vortices with positive curvature
Mario Garcia-Fernandez, Vamsi Pritham Pingali, Chengjian Yao
We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant . Our first main result builds on previous resul…
On coupled constant scalar curvature Kähler metrics
Ved V. Datar, Vamsi Pritham Pingali
We provide a moment map interpretation for the coupled Kähler-Einstein equations introduced by Hultgren and Witt Nyström, and in the process introduce a more general system of equa…