A geometric characterization of a simple K3-singularity

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概要

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• A simple K3-singularity is a three-dimensional normal isolated singularity with a certain condition on the mixed Hodge structure on a good resolution. We prove here that a three-dimensional normal isolated singularity is a simple K3-singularity if and only if the exceptional divisor of a Q-factorial terminal modification is an irreducible normal K3-surface.

• 東北大学の論文

著者

• Watanabe Kimio

  Institute Of Mathematics Faculty Of Science University Of Tsukuba

• Ishii Shihoko

  Department of Mathematics, Tokyo Institute of Technology

• Ishii Shihoko

  Department Of Mathematics Tokyo Institute Of Technology

関連論文

• On a Certain Class of Purely Elliptic Singularities in Dimensions>2
• On Plurigenera of Normal Isolated Singularities (I) (Complex Analysis of Singularities)
• On plurigenera of hypersurface purely elliptic singularities
• A geometric characterization of a simple K3-singularity
• On the Classification of Quartic Surfaces with a Triple Point Part II
• On the Classification of Quartic Surfaces with a Triple Point Part I
• Divisorial Valuations via Arcs
• Distribution formula for terminal singularities on the minimal resolution of a quasi-homogeneous simple K3 singularity
• The minimal model theorem for divisors of toric varieties

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