Anticanonical system of Fano fivefolds |
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| Authors: | Andreas Höring Robert Śmiech |
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| Institution: | 1. Université Côte d'Azur, CNRS, LJAD, France;2. University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, ul. Banacha 2, 02-097 Warszawa, Poland |
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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. |
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| Keywords: | anticanonical system Fano varieties fivefolds linear system nonvanishing 14J45 |
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