Simple normal crossing varieties with prescribed dual complex

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10 Scopus citations


We prove that every simplicial complex is the dual complex of some simple normal crossing divisor in a smooth variety. As an application, we simplify and extend earlier results on the existence of singularities with given dual complex.

Original languageEnglish (US)
Pages (from-to)57-68
Number of pages12
JournalAlgebraic Geometry
Issue number1
StatePublished - Jan 1 2014

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


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