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arxiv: 1501.02556 · v2 · pith:4TCQTYVGnew · submitted 2015-01-12 · 🧮 math.AG

On two moduli spaces of sheaves supported on quadric surfaces

classification 🧮 math.AG
keywords moduliquadricsheavesspaceblow-upcertaincharacteristicchern
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We show that the moduli space of semi-stable sheaves on a smooth quadric surface, having dimension 1, multiplicity 4, Euler characteristic 2, and first Chern class (2, 2), is the blow-up at two points of a certain hypersurface in a weighted projective space.

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