Automorphisms of Galois Coverings of Generic $m$-Canonical Projections

Details Automorphisms of Galois Coverings of Generic $m$-Canonical Projections Automorphisms of Galois Coverings of Generic $m$-Canonical Projections

2007-08-31

arxiv.org/abs/0708.4381v1

Mathematics

Algebraic Geometry

34 pages

Scientific paper

The automorphism group of the Galois covering induced by a pluri-canonical generic covering of a projective space is investigated. It is shown that by means of such coverings one obtains, in dimensions one and two, serieses of specific actions of the symmetric groups $S_d$ on curves and surfaces not deformable to an action of $S_d$ which is not the full automorphism group. As an application, new DIF $\ne$ DEF examples for $G$-varieties in complex and real geometry are given.

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