Gorenstein Fano threefolds with base points in the anticanonical system

By Priska Jahnke, I. Radloff. Compositio Mathematica, 2004

48 citations recorded by the source corpus.

We classify all Gorenstein Fano threefolds with at worst canonical singularities for which the anticanonical system |−K| has a nonempty base locus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4596482d48e9327eaae7dc2a789aced36ed9537a

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In Discrete Mathematics and Combinatorics

1. Yuri Prokhorov

In Geometry and Topology

1. Yuri Prokhorov
2. C. Birkar

Citations in the corpus

• G-Fano threefolds, II (2010, background): “ and Γ (j) i is a curve for all j (because E1 6= E2 and E1·E2·Mi 6= 0). Let D ∈ |−KX| be a general member and let Di := fi(D). Then Di ∈ |− KQ i |. Since 15 the linear system |−KX| is base point free [JR06a], D is a smooth K3 surface. We may take S so that it does not contain non-trivial fibers of Ei”