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On the vanishing of Hochster’s 𝜃 invariant

On the vanishing of Hochster’s 𝜃 invariant

Hochster's theta invariant is defined for a pair of finitely generated modules on a hypersurface ring having only an isolated singularity. Up to a sign, it agrees with the Euler invariant of a pair of matrix factorizations. Working over the complex numbers, Buchweitz and van Straten have established an interesting …