We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L), where Γ is its Fano curve of lines and L = OΓ(1) is the theta-characteristic which gives a natural embedding Γ⊂P^5.
Flamini, F., Sernesi, E. (2010). THE CURVE OF LINES ON A PRIME FANO THREE-FOLD OF GENUS 8. INTERNATIONAL JOURNAL OF MATHEMATICS, 21(12), 1561-1584 [10.1142/S0129167X1000663X].
THE CURVE OF LINES ON A PRIME FANO THREE-FOLD OF GENUS 8
SERNESI, Edoardo
2010-01-01
Abstract
We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L), where Γ is its Fano curve of lines and L = OΓ(1) is the theta-characteristic which gives a natural embedding Γ⊂P^5.File in questo prodotto:
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