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Non-special scrolls with general moduli

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Abstract

In this paper we study smooth, non-special scrolls S of degree d, genus g ≥ 0, with general moduli. In particular, we study the scheme of unisecant curves of a given degree on S. Our approach is mostly based on degeneration techniques.

Keywords Ruled surfaces, Hilbert schemes of scrolls, Moduli, Embedded degenerations

Mathematics Subject Classification (2000) 14J26, 14D06, 14C20, (Secondary) 14H60, 14N10

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Calabri, A., Ciliberto, C., Flamini, F. et al. Non-special scrolls with general moduli. Rend. Circ. Mat. Palermo 57, 1–31 (2008). https://doi.org/10.1007/s12215-008-0001-z

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