3 problems

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The type I singularity conjecture for Kähler-Ricci flow on Kähler surfaces
Type I singularity conjecture. Every finite-time singularity of the Kähler-Ricci flow on a Kähler surface is type I.
Conjectureopenkahler-ricci-flow kahler-surfaces singularitiesarXiv posted 2 days ago
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Donaldson's blow-up conjecture for the J-flow on surfaces
Donaldson's blow-up conjecture. If this condition is violated, then the J-flow should blow up over curves with negative self-intersection. The source states that in complex dimensi…
Conjectureopencomplex-geometry j-flow kahler-surfacesarXiv posted 2 days ago
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The quantum-correction gluing conjecture for mirrors of anticanonical complements
Let $X$ be a Kähler surface with anticanonical divisor $D$ , and let $M$ be the complexified moduli space of special Lagrangian tori in $X\setminus D$ . A Maslov index 0 wall is a re…
Conjectureopenkahler-surfaces mirror-symmetry wall-crossingarXiv posted 2 days ago

The type I singularity conjecture for Kähler-Ricci flow on Kähler surfaces