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arxiv: 1507.03316 · v1 · pith:DZ3Z3LPJnew · submitted 2015-07-13 · 🧮 math.AG

Double lines on quadric hypersurfaces

classification 🧮 math.AG
keywords quadricdoublehypersurfacescomponentscurvesdimensiongeometryhilbert
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We study double line structures in projective spaces and quadric hypersurfaces, and investigate the geometry of irreducible components of Hilbert scheme of curves and moduli of stable sheaves of pure dimension 1 on a smooth quadric threefold.

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