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arXiv · 0708.4381

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

V. Kharlamov·Vik. Kulikov
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Abstract

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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BibTeXRIS

V. Kharlamov, Vik. Kulikov. 2007-08-31. Automorphisms of Galois Coverings of Generic $m$-Canonical Projections. https://arxiv.org/abs/0708.4381

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