4 problems

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The tangent-sheaf cohomology dimension claim for boundary s.l.c. sextic surfaces
Let $S$ be a semi-log-canonical (s.l.c.) sextic surface lying in any boundary divisor of the closure $\overline{M}^{\operatorname{sextic}}$ of the Gieseker moduli stack of sextic s…
Conjectureopendeformation-theory moduli-of-surfaces surface-singularitiesarXiv posted 2 days ago
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Blache's conjecture on accumulation points of stable-surface volumes
Blache's conjecture.
Conjectureopenmoduli-of-surfaces stable-surfaces surface-singularitiesarXiv posted 2 days ago
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Wormhole conjecture for punctured W-surfaces
Wormhole conjecture. The MMP on the new W-surface finishes in a minimal model and requires only flips; that is, both punctured W-surfaces live in the same moduli space.
Conjectureopenminimal-model-program moduli-of-surfaces surface-singularitiesarXiv posted 2 days ago
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Wormhole conjecture for KSBA moduli of surfaces
Wormhole conjecture. The MMP requires only flips and gives a minimal model. The KSBA replacement of $(X'\subset\mathcal{X}')\to(0\in\mathbb{D})$ lives on the same moduli space as t…
Conjectureopenksba-moduli minimal-model-program moduli-of-surfacesarXiv posted 2 days ago

The tangent-sheaf cohomology dimension claim for boundary s.l.c. sextic surfaces