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Classification of 2-Fano manifolds with high index
Classification of 2-Fano manifolds high index Algebraic Geometry
2012/6/27
In this paper we classify n-dimensional Fano manifolds with index >=n-2 and positive second Chern character.
Birational superrigidity and slope stability of Fano manifolds
Birational superrigidity Fano manifolds Algebraic Geometry
2011/9/15
Abstract: We show a relation between the birational superrigidity of Fano manifold and its slope stability in the sense of Ross-Thomas.
Fano manifolds which are not slope stable along curves
Fano manifolds slope stable along curves Algebraic Geometry
2011/8/26
Abstract: 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 ...