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What is Stability of Complex Monge–Ampère Equations about?

This paper establishes weak stability results for solutions of complex Monge–Ampère equations in relative full mass classes, extending existing results in full mass classes. It demonstrates C k,α stability of solutions on quasi-projective varieties and applies these findings to analyze singular Ricci-flat metrics on Q-Calabi–Yau projective varieties. The results build upon previous work and provide new insights into the stability and convergence of solutions in this mathematical framework.

Author

Rosó Péraz

Language

EN