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Fano–Enriques varieties of genera 14, 15, and 16 E. Gorinov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics |
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Abstract: We will talk about Fano-Enriques threefolds (threefolds having ample anticanonical class and whose general hypersurfaces are smooth Enriques surfaces). It's well known that genus of such threefolds <=17 and there is only one Fano–Enriques threefold with genus 17. I will prove that genus can't be equal to 14, 15, and 16. |
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