Slope stability of Fano fourfolds with respect to smooth surfaces

Hosung Kim; Joonyeong Won

doi:10.1515/advgeom-2014-0019

Slope stability of Fano fourfolds with respect to smooth surfaces

Hosung Kim, Joonyeong Won

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let (X;-K_X) be a Fano fourfold and let S ∪ X be a smooth surface. We show that (X;-K_X) is slope semistable with respect to S if c1(N_S/X) is a nontrivial and nef class.

Original language	English
Pages (from-to)	719-734
Number of pages	16
Journal	Advances in Geometry
Volume	14
Issue number	4
DOIs	https://doi.org/10.1515/advgeom-2014-0019
State	Published - 1 Oct 2014

Bibliographical note

Publisher Copyright:
© 2014 by Walter de Gruyter Berlin/Boston.

Keywords

Fano fourfold
Slope stability
del Pezzo surface

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10.1515/advgeom-2014-0019

Cite this

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title = "Slope stability of Fano fourfolds with respect to smooth surfaces",

abstract = "Let (X;-KX) be a Fano fourfold and let S ∪ X be a smooth surface. We show that (X;-KX) is slope semistable with respect to S if c1(NS/X) is a nontrivial and nef class.",

keywords = "Fano fourfold, Slope stability, del Pezzo surface",

author = "Hosung Kim and Joonyeong Won",

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AB - Let (X;-KX) be a Fano fourfold and let S ∪ X be a smooth surface. We show that (X;-KX) is slope semistable with respect to S if c1(NS/X) is a nontrivial and nef class.

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KW - del Pezzo surface

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Slope stability of Fano fourfolds with respect to smooth surfaces

Abstract

Bibliographical note

Keywords

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