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December 2011 Fano manifolds which are not slope stable along curves
Kento Fujita
Proc. Japan Acad. Ser. A Math. Sci. 87(10): 199-202 (December 2011). DOI: 10.3792/pjaa.87.199

Abstract

We show that a Fano manifold $(X,-K_{X})$ is \textit{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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Kento Fujita. "Fano manifolds which are not slope stable along curves." Proc. Japan Acad. Ser. A Math. Sci. 87 (10) 199 - 202, December 2011. https://doi.org/10.3792/pjaa.87.199

Information

Published: December 2011
First available in Project Euclid: 1 December 2011

zbMATH: 1236.14040
MathSciNet: MR2863414
Digital Object Identifier: 10.3792/pjaa.87.199

Subjects:
Primary: 14J45 , 14L24

Keywords: Fano manifold , Seshadri constant , slope stability

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 10 • December 2011
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