On Fano-Enriques threefolds

Abstract

Let $U\subset {\mathbb{P}}^N$ be a projective variety which is not a cone and whose hyperplane sections are smooth Enriques surfaces. We prove that the degree of a $U$ is at most 32 and the bound is sharp.

18 pages, LaTeX

References in corpus (1)

• Gorenstein Fano threefolds with base points in the anticanonical system

Cited by in corpus (3)

• The degree of Q-Fano threefolds
• On the extendability of projective surfaces and a genus bound for Enriques-Fano threefolds
• On Fano threefolds with canonical Gorenstein singularities