A geometric characterization of a simple K3-singularity

Shihoko Ishii, Kimio Watanabe

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)19-24
Number of pages6
JournalTohoku Mathematical Journal
Volume44
Issue number1
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Isolated Singularity
Mixed Hodge Structure
Singularity
Three-dimensional
Normal Surface
K3 Surfaces
Factorial
Divisor
If and only if

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A geometric characterization of a simple K3-singularity. / Ishii, Shihoko; Watanabe, Kimio.

In: Tohoku Mathematical Journal, Vol. 44, No. 1, 1992, p. 19-24.

Research output: Contribution to journalArticle

Ishii, Shihoko ; Watanabe, Kimio. / A geometric characterization of a simple K3-singularity. In: Tohoku Mathematical Journal. 1992 ; Vol. 44, No. 1. pp. 19-24.
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