Full paper in PDF:
$%M. Manetti, Automorphisms of generic cycles covers, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 149156.%$

Automorphisms of Generic Cycles Covers
M. MANETTI
Scuola Normale Superiore
P. Cavaliere 7
I-56126 Pisa Italy

Received: May 29, 1996
Revised: December 9, 1996
ABSTRACT

We generalize an argument of Manetti (1996) for proving a result about automorphisms of generic simple cyclic covers of smooth algebraic varieties. A finite map p :S-- >  X  is called a simple cyclic cover if there exists an invertible sheaf L on X  such that         o+ n -1
p*OS =   i=0 L-i  (cf. Barth et al. (1984), I.17). Here we prove under some “mild” assumptions on the triple X  , L , n  that for the generic cyclic cover S  the group Aut(S)  of biregular automorphisms equals the group mn  of automorphisms of the branched cover p  .

1991 Mathematics Subject Classification: 14E.