A Weak Fano Threefold Arising as a Blowup of a Curve of Genus 5 and Degree 8 on ℙ³

2017/12/14 by Joseph Cutrone, Cutrone, Joseph W., Michael A. Limarzi +3
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1712.05295

Abstract

This article constructs a smooth weak Fano threefold of Picard number two with small anti-canonical morphism that arises as a blowup of a smooth curve of genus 5 and degree 8 in ℙ³. While the existence of this weak Fano was known as a numerical possibility in \citeCM13 and constructed in BL12, this paper removes the dependencies on the results in \citeJPR11 needed in the construction of BL12 and constructs the link in the style of ACM17.

Related

• On the existence of certain weak Fano threefolds of Picard number two
• An Update on the Classification of Rank 2 Weak Fano Threefolds
• Fano threefolds in positive characteristic II
• Weak Fano threefolds arising as the blowup of a hyperquadric in ℙ⁴ along a curve
• The curve of lines on a prime Fano threefold of genus 8