3 problems

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Donaldson's almost Kähler Calabi–Yau a priori bound conjecture
Let $M$ be a compact $4$ -manifold equipped with an almost complex structure $J$ and a taming symplectic form $\Omega$ . Let $\sigma$ be a smooth volume form on $M$ satisfying … If…
Conjectureopenalmost-kahler-geometry calabi-yau-equations monge-ampere-equationsarXiv posted 2 days ago
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The form-type Calabi–Yau equation solvability conjecture
Form-type Calabi–Yau equation solvability conjecture. There exist a constant $b$ and a function $\varphi$ satisfying these equations. The equation is introduced as the form-type Ca…
Conjectureopenbalanced-metrics calabi-yau-equations complex-geometryarXiv posted 2 days ago
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Algebraic pullback conjecture for equivalent Calabi–Yau equations
Algebraic pullback conjecture. Conversely, equivalence should imply the existence of algebraic $f(x)$ and $g(x)$ of this form.
Conjectureopencalabi-yau-equations differential-equationsarXiv posted 2 days ago

Donaldson's almost Kähler Calabi–Yau a priori bound conjecture