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arXiv · 1712.05295

A Weak Fano Threefold Arising as a Blowup of a Curve of Genus 5 and Degree 8 on $\mathbb{P}^3$

Joseph W. Cutrone·Michael A. Limarzi·Nicholas A. Marshburn
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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 $\mathbb{P}^3$. While the existence of this weak Fano was known as a numerical possibility in \cite{CM13} and constructed in BL12, this paper removes the dependencies on the results in \cite{JPR11} needed in the construction of BL12 and constructs the link in the style of ACM17.

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Joseph W. Cutrone, Michael A. Limarzi, Nicholas A. Marshburn. 2017-12-14. A Weak Fano Threefold Arising as a Blowup of a Curve of Genus 5 and Degree 8 on $\mathbb{P}^3$. https://arxiv.org/abs/1712.05295

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