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• W2112859540 abstract "We introduce a technique based on Gaussian maps to study whether a surface can lie on a threefold as a very ample divisor with given normal bundle. We give applications, among which one to surfaces of general type and another to Enriques surfaces. In particular, we prove the genus bound $g le17$ for Enriques-Fano threefolds. Moreover we find a new Enriques-Fano threefold of genus 9 whose normalization has canonical but not terminal singularities and does not admit $mathbb{Q}$-smoothings." @default.
• W2112859540 created "2016-06-24" @default.
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• W2112859540 date "2011-07-01" @default.
• W2112859540 modified "2023-09-30" @default.
• W2112859540 title "On the Extendability of Projective Surfaces and a Genus Bound for Enriques-Fano Threefolds" @default.
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• W2112859540 doi "https://doi.org/10.4310/jdg/1321366357" @default.
• W2112859540 hasPublicationYear "2011" @default.
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