Factoriality of nodal three-dimensional varieties and connectedness of the locus of log canonical singularities

I. A. Cheltsov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Shokurov's vanishing theorem is used for the proof of the ℚ-factoriality of the following nodal threefolds: a complete intersection of hypersurfaces F and G in ℙ5 of degrees n and k, n ≥ k, such that G is smooth and |Sing(F ∩ G)| ≤ (n+k-2)(n-1)/5; a double cover of a smooth hypersurface F ⊃ ℙ4 of degree n branched over the surface cut on F by a hypersurface G ⊃ ℙ4 of degree 2r ≥ n, provided that |Sing(F ∩ G)| ≤ (2r + n - 2)r/4.

Original languageEnglish
Pages (from-to)387-414
Number of pages28
JournalSbornik Mathematics
Volume197
Issue number3-4
DOIs
Publication statusPublished - 30 Apr 2006

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