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 = O_Γ(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 threefold of genus 8. INTERNATIONAL JOURNAL OF MATHEMATICS, 21(12), 1561-1584 [10.1142/S0129167X1000663X].

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

FLAMINI, FLAMINIO;
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 = O_Γ(1) is the theta-characteristic which gives a natural embedding Γ ⊂ P^5.
2010
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
Lines, Fano threefold, Torelli
http://www.worldscinet.com/ijm/21/2112/S0129167X1000663X.html
Flamini, F., Sernesi, E. (2010). The curve of lines on a prime Fano threefold of genus 8. INTERNATIONAL JOURNAL OF MATHEMATICS, 21(12), 1561-1584 [10.1142/S0129167X1000663X].
Flamini, F; Sernesi, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/10085
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