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Anticanonical system of Fano fivefolds

Andreas Höring and Robert Śmiech

Mathematische Nachrichten, 2020, vol. 293, issue 1, 115-119

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.

Date: 2020
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https://doi.org/10.1002/mana.201900311

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