2 problems

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Calabi's existence conjecture for hyperbolic affine spheres over proper convex cones
A proper convex cone is a convex cone containing no complete affine line and having nonempty interior. A hyperbolic affine sphere is a hypersurface in affine space whose affine nor…
Conjectureopenaffine-differential-geometry affine-spheres convex-geometryarXiv posted 2 days ago
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The differentiability conjecture for the cubic-to-polynomial map
Differentiability conjecture. The map
Conjectureopenaffine-spheres cubic-differentials moduli-spacesarXiv posted 2 days ago

Calabi's existence conjecture for hyperbolic affine spheres over proper convex cones