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$%M. Manetti, Automorphisms of generic cycles covers, Rev. Mat. Univ. Complut. Madrid 10
(1997), no. 1, 149–156.%$
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 is called a simple cyclic cover if there exists an invertible sheaf on such that (cf. Barth et al. (1984), I.17). Here we prove under some “mild” assumptions on the triple , , that for the generic cyclic cover the group of biregular automorphisms equals the group of automorphisms of the branched cover .
1991 Mathematics Subject Classification: 14E.