Study investigates singularities and cohomology in coherent sheaf quotients on a projective surface, suggesting implications for geometry.
We study the geometry of the Quot scheme of length coherent sheaf quotients of a locally free sheaf on a smooth projective surface . In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on .
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Samuel Stark (2026) studied this question.