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On the Extendability of Projective Surfaces and a Genus Bound for Enriques-Fano Threefolds

On the Extendability of Projective Surfaces and a Genus Bound for Enriques-Fano Threefolds

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 …