2018Journal of SingularitiesOpen access

Kulikov singularities

Jan Stevens

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Abstract

In the study of normal surface singularities the relation between analytical and topological properties and invariants of the singularity is a very rich problem. This relation is particularly close for surface singularities constructed from families of curves. We use these Kulikov singularities to reexamine results of N\'emethi-Okuma and Tomaru.

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In the study of normal surface singularities the relation between analytical and topological properties and invariants of the singularity is a very rich problem. This relation is particularly close for surface singularities constructed from families of curves. We use these Kulikov singularities to reexamine results of N\'emethi-Okuma and Tomaru.

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Available abstract

In the study of normal surface singularities the relation between analytical and topological properties and invariants of the singularity is a very rich problem. This relation is particularly close for surface singularities constructed from families of curves. We use these Kulikov singularities to reexamine results of N\'emethi-Okuma and Tomaru.

Key concepts: Gravitational singularity, Singularity, Relation (database), Surface (topology), Mathematics, Normal surface, Pure mathematics, Mathematical analysis

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