Slope stability of Fano fourfolds with respect to smooth surfaces

Hosung Kim; Joonyeong Won

doi:10.1515/advgeom-2014-0019

Article

Slope stability of Fano fourfolds with respect to smooth surfaces

Hosung Kim and Joonyeong Won

Published/Copyright: October 8, 2014

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From the journal Advances in Geometry Volume 14 Issue 4

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.

Keywords: Slope stability; Fano fourfold; del Pezzo surface

Published Online: 2014-10-8

Published in Print: 2014-10-1

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Articles in the same Issue

Frontmatter
On the type number of a hypersurface in the 6-dimensional sphere
On the equality case in Ehrhart’s volume conjecture
Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞
Bifurcation values and stability of algebras of bounded polynomials
Families of bitangent planes of space curves and minimal non-fibration families
On deformations of G₂-structures by Killing vector fields
Cohomology of 3-points configuration spaces of complex projective spaces
Slope stability of Fano fourfolds with respect to smooth surfaces
On quartics with lines of the second kind

https://doi.org/10.1515/advgeom-2014-0019

Keywords for this article

Slope stability; Fano fourfold; del Pezzo surface

Articles in the same Issue

Frontmatter
On the type number of a hypersurface in the 6-dimensional sphere
On the equality case in Ehrhart’s volume conjecture
Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞
Bifurcation values and stability of algebras of bounded polynomials
Families of bitangent planes of space curves and minimal non-fibration families
On deformations of G₂-structures by Killing vector fields
Cohomology of 3-points configuration spaces of complex projective spaces
Slope stability of Fano fourfolds with respect to smooth surfaces
On quartics with lines of the second kind