Minimal slopes and bubbling of complex Hessian equations

Differential Geometry Seminar
Fri, April 21, 2023
10:20 am - 11:20 am
MW 154

Speaker: Jian Song (Rutgers University)

Title: Minimal slopes and bubbling of complex Hessian equations

Abstract: We establish the Nakai-Moishezon criterion for the complex Hessian quotient J-equation as the solution to the Lejmi-Szekelyhidi conjecture.  We further explore canonical solutions with singularities in relation to algebraic minimal slopes and geometric bubbling, when the criterion is violated.