Tohoku Mathematical Journal
2018
September
SECOND SERIES VOL. 70, NO. 3

Tohoku Math. J.
70 (2018), 447-473

Title DOUBLE LINES ON QUADRIC HYPERSURFACES

Author Edoardo Ballico and Sukmoon Huh

(Received October 19, 2015, revised May 20, 2016)
Abstract. 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.

Mathematics Subject Classification. Primary 14H10; Secondary 14D22, 14E05.
Key words and phrases. Pure sheaf, locally Cohen-Macaulay curve, Hilbert scheme.

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