Fano manifolds which are not slope stable along curves

Details Fano manifolds which are not slope stable along curves Fano manifolds which are not slope stable along curves

2011-07-07

arxiv.org/abs/1107.1362v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

We show that a Fano manifold (X,-K_X) is not slope stable with respect to a
smooth curve Z if and only if (X,Z) is isomorphic to one of (projective space,
line), (product of projective line and projective space, fiber of second
projection) or (blow up of projective space along linear subspace of
codimension two, nontrivial fiber of blow up).

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