Divisorial extractions from singular curves in smooth 3-folds

Tom Ducat

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)


Consider a singular curve Γ contained in a smooth 3-fold X. Assuming the general elephant conjecture, the general hypersurface section Γ⊂S⊂X is Du Val. Under that assumption, this paper describes the construction of a divisorial extraction from Γ by Kustin–Miller unprojection. Terminal extractions from Γ⊂X are proved not to exist if S is of type D2k,E7 or E8 and are classified if S is of type A1,A2 or E6.
Original languageEnglish
Number of pages23
JournalInternational Journal of Mathematics
Issue number1
Publication statusPublished - 4 Jan 2016


  • Divisorial extractions
  • Unprojection


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