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arXiv · 1903.08711

Anticanonical system of Fano fivefolds

Andreas Höring·Robert Śmiech
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Abstract

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 anticanonical system in the case of log canonical Gorenstein singularities.

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Andreas Höring, Robert Śmiech. 2019-10-16. Anticanonical system of Fano fivefolds. https://doi.org/10.1002/mana.201900311

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