Stable pairs yield small Q-factorial modifications of Quot schemes on curves, making their large-degree fibers Mori dream spaces and the determinant morphism a Mori dream morphism.
Virtual intersections on the quot scheme and vafa--intriligator formulas
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Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs
Stable pairs yield small Q-factorial modifications of Quot schemes on curves, making their large-degree fibers Mori dream spaces and the determinant morphism a Mori dream morphism.