By E. Ballico, Ph. Ellia (auth.), Ciro Ciliberto, Franco Ghione, Ferruccio Orecchia (eds.)

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**Extra resources for Algebraic Geometry — Open Problems: Proceedings of the Conference Held in Ravello, May 31 – June 5, 1982**

**Sample text**

Some o p e n q u e s t i o n s . results. of a conic bundle. of A2(X) . Jacobian of a c o n i c b u n d l e . References. INTRODUCTION In this paper we s t a t e some bundles study X on n o n s i n g u l a r describe, with negative the C o n f e r e n c e A reason for this of We m a i n l y of cycles equivalent of to zero J(X) . v e r s i o n of a talk on June conic in the c l a s s i f i c a t i o n dimension. "Open P r o b l e m s (Italy), concerning the g r o u p A2(X) Jacobian is an e x p a n d e d Ravello S.

G(X) bundle = ImP' ~ 1 ~ , ~ * C (X) with in s e c t i o n quotient i0 divisor X +~(f,~xlO['), verify role needed. of associated cokernel = A2(X)/Im# an i m p o r t a n t remarks : the so t h a t • A 1 (S). similarly As cycle i , T x. = f*~ + mi,T x 2#' (a,b) ImP' Im#' is Then, for = ¢(2a+b-~,mb)£Im~, a divisible ~ ImP. group 47 2) The kernel of # is a f i n i t e in A2(S) 4 • A I ( s ) 2 . f,(f*a + f*b-i,T f,(f x) In fact, = O. 2. conic fibres. that Xs f -I e(s) (s), As to exists = f*2a + f * 2 b - i , T x = f * 2 a = O.

Norm. Some e l e m e n t a r y not for Sup. abelian Pisa rational, examples Proc. of unira- London Math. de P r y m e t 41 (1977), Surfaces : jacobiennes interm~diaires, and the Schottky problem, 149-196. alg~briques complexes, Ast~risque (1978). Annalen : Sulla razionalita delle involuzioni plane, 44 ( 1 8 9 4 ) . H. CLEMENS e t P. GRIFFITHS : The intermediate Jacobian the cubic t h r e e f o l d , Ann. of Math. 95 (1972), 281-356. [E] 21 309-391. Prym varieties Math. CASTELNUOVO Math. : are Vari~t~s 10 ( 1 9 7 7 ) , A.