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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.
Reflexive polytopes of higher index and the number 12
Reflexive polytopes higher index the number 12 Algebraic Geometry
2011/9/20
Abstract: We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension ...
On isolated log canonical singularities with index one
log canonical singularities Cohen–Macaulay minimal model program mixed Hodge structures
2011/8/24
Abstract: In this paper, we give a method to investigate isolated log canonical singularities with index one which are not log terminal. Our method depends on the minimal model program. One of the mai...