Anticanonical system of Fano fivefolds

Autor: Andreas Höring, Robert Śmiech

Publikováno v: Mathematical News / Mathematische Nachrichten
Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2019, 293 (1), pp.115-119. ⟨10.1002/mana.201900311⟩

We show that any Fano fivefold with canonical Gorenstein singularities has an effective anticanonical divisor. Moreover,if a general element of the anticanonical system is reduced, then it has canonical singularities. We also prove nonvanishing of an

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