Constructs solutions to Monge-Ampère equations with singular measures on low-codimensional sets, studies their regularity, and motivates the work with optimal transport examples.
Li, Strominger–Yau–Zaslow conjecture for Calabi–Yau hypersurfaces in the Fermat family, Acta Math.229(2022), no
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Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities
Constructs solutions to Monge-Ampère equations with singular measures on low-codimensional sets, studies their regularity, and motivates the work with optimal transport examples.