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Tangent scrolls in prime Fano threefolds by Iliev, Atanas; Schuhmann, Carmen is a scholarly article available to read on EtoBox.

What is Tangent scrolls in prime Fano threefolds about?

In this paper we prove that any smooth prime Fano threefold, different from the Mukai-Umemura threefold, contains a 1-dimensional family of intersecting lines. Combined with a result of the second author (see J. Algebr. Geom. 8:2 (1999), 221-244) this implies that any morphism from a smooth Fano threefold of index 2 to a smooth Fano threefold of index 1 must be constant, which gives an answer in dimension 3 to a question stated by Peternell.

Author

Iliev, Atanas; Schuhmann, Carmen

Published

2000

Language

EN