Reviewed by Robert Lazarsfeld, MR672618 (84f:14029) The author proves that the intermediate Jacobian of Xs degenerates as s \to 0 to the Jacobian of a hyperelliptic curve C of genus 5; C is obtained as the double cover of P^1 branched at the twelve points of intersection This implies the author’s first main result, namely that the locus of hyperelliptic Jacobians of genus 5 is contained in the closure of the locus of intermediate Jacobians of cubic threefolds. The author then goes on to investigate the family of Fano surfaces Fs He ultimately concludes that \pi (Fs) is nonabelian.
The fundamental group of the Fano surface. I, II.Algebraic threefolds (Varenna, 1981), pp. 209–218, 219–220, Lecture Notes in Math., 947,Springer, Berlin-New York, 1982.
COLLINO, Alberto
1982-01-01
Abstract
Reviewed by Robert Lazarsfeld, MR672618 (84f:14029) The author proves that the intermediate Jacobian of Xs degenerates as s \to 0 to the Jacobian of a hyperelliptic curve C of genus 5; C is obtained as the double cover of P^1 branched at the twelve points of intersection This implies the author’s first main result, namely that the locus of hyperelliptic Jacobians of genus 5 is contained in the closure of the locus of intermediate Jacobians of cubic threefolds. The author then goes on to investigate the family of Fano surfaces Fs He ultimately concludes that \pi (Fs) is nonabelian.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
