Preprint
Sep 2026
Dolbeault-Hochster Theory of Polytopal LVM Manifolds
We compute the Dolbeault cohomology of minimally stable polytopal LVM manifolds using a finite curvature complex. Let $B$ be the indispensable weight block. A canonical exact sequence identifies the kernel of the curvature map with $(\operatorname{coker}B)^\vee$ and its cokernel with $(\ker B)^\vee$. At full rank, the...
L. Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio et al.
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