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Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds
Journal article   Peer reviewed

Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds

Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani and Shing-Tung Yau
American journal of mathematics, Vol.148(4), p.1075
2026-08-01

Abstract

Sheaves Stacks
It is shown that there are globally defined Lagrangian distributions on the stable loci of derived$\mathrm{Quot}$ -stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these distributions produces perfectly obstructed smooth stacks with globally defined$-1$ -shifted potentials, whose derived critical loci give back the stable loci of smooth stacks of sheaves in global Darboux form.

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