Vanishing homology of projective hypersurfaces with 1-dimensional singularities

Dirk Siersma, Mihai Tibăr

Research output: Contribution to journalArticleAcademicpeer-review


We introduce and study the vanishing homology of singular projective hypersurfaces. We prove its concentration in two levels in case of 1-dimensional singular locus Σ , and moreover determine the ranks of the nontrivial homology groups. These two groups depend on the monodromy at special points of Σ and on the effect of the monodromy of the local system over its complement.

Original languageEnglish
Pages (from-to)565-586
Number of pages22
JournalCentral European Journal of Mathematics
Issue number3
Publication statusPublished - 1 Sept 2017


  • Monodromy
  • Nonisolated singularities
  • Singular projective hypersurfaces
  • Vanishing homology


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