Strong bertini theorems

Steven Diaz, David Harbater

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We show that the singular locus of the general member of a linear system has dimension less than that predicted by Bertini’s theorem, provided that the base locus is scheme-theoretically smooth. As corollaries, we obtain a result about complete intersection varieties containing a given subvariety and a result concerning liaison.

Original languageEnglish (US)
Pages (from-to)73-86
Number of pages14
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Mar 1991

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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