Ryan Mc Gowan

collaborators

3 papers

math.DG2026

Concavity-Free $L^{\infty}$ Estimates and Stability for Fully Nonlinear Complex Equations

Ryan Mc Gowan

In this paper, we extend the $L^{\infty}$ estimates of Guo-Phong for fully non-linear equations on compact hermitian manifolds to a possibly indefinite reference form satisfying a un…

math.DG2026

Monge-Ampère degenerations and conifold contractions in Fujiki class $C$

Riley Guyett, Ryan Mc Gowan

Given a $Q$ -Gorenstein normal projective Calabi-Yau variety $Y$ with ordinary double points as singularities and a small crepant resolution $π : X \to Y$ with $X$ in th…

math.DG2026

Liouville theorems and Evans-Krylov estimates

Yifan Chen, Hans-Joachim Hein, Ryan Mc Gowan

A classical idea in analysis going back at least to work of Simon (1997) is that Liouville theorems for solutions to elliptic or parabolic PDEs are equivalent to Schauder type regu…

Concavity-Free L∞ Estimates and Stability for Fully Nonlinear Complex Equations

Monge-Ampère degenerations and conifold contractions in Fujiki class C

Liouville theorems and Evans-Krylov estimates

Concavity-Free $L^{\infty}$ Estimates and Stability for Fully Nonlinear Complex Equations

Monge-Ampère degenerations and conifold contractions in Fujiki class $C$