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A localization property of viscosity solutions to the Monge-Amp` ere equation and their strict convexity

2 Pith papers cite this work. Polarity classification is still indexing.

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On the Donaldson-Scaduto conjecture

math.DG · 2024-01-27 · unverdicted · novelty 7.0

Proves existence of asymptotically cylindrical U(1)-invariant special Lagrangians in X × C (X an A2 ALE hyperkähler 4-manifold) by solving a singular Monge-Ampère equation and applying geometric measure theory.

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  • On the Donaldson-Scaduto conjecture math.DG · 2024-01-27 · unverdicted · none · ref 1

    Proves existence of asymptotically cylindrical U(1)-invariant special Lagrangians in X × C (X an A2 ALE hyperkähler 4-manifold) by solving a singular Monge-Ampère equation and applying geometric measure theory.