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

2008/11/04 by Flamini, Flaminio, Sernesi, Edoardo
#14C34 #14J45 #14J70 #14N05 #14N20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0811.0523

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⊂ \matbbP⁵.

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