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math.AG2025
Hodge theory and derived categories of cubic fourfolds
N. Addington, R. P. Thomas
Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has s…
math.AG2025
Counting sheaves on Calabi-Yau 4-folds, I
Jeongseok Oh, Richard P. Thomas
Borisov-Joyce constructed a real virtual cycle on compact moduli spaces of stable sheaves on Calabi-Yau 4-folds, using derived differential geometry. We construct an algebraic virt…