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arXiv · 0811.0523

The curve of lines on a prime Fano threefold of genus 8

Flaminio Flamini·Edoardo Sernesi
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Abstract

We show that a general prime Fano threefold X of genus 8 can be reconstructed from the pair $(Γ,L)$, where $Γ$ is its Fano curve of lines and $L=O_Γ(1)$ is the theta-characteristic which gives a natural embedding $Γ\subset \matbb{P}^5$.

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Flaminio Flamini, Edoardo Sernesi. 2010-05-13. The curve of lines on a prime Fano threefold of genus 8. https://arxiv.org/abs/0811.0523

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