JournalsrlmVol. 32, No. 2pp. 181–211

On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces

  • Fabrizio Catanese

    Universität Bayreuth, Germany, and Korea Institute for Advanced Study, Seoul, Republic of Korea
  • Wenfei Liu

    Xiamen University, China
On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces cover

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Abstract

In this paper, we investigate automorphisms of compact Kähler manifolds with different levels of topological triviality. In particular, we provide several examples of smooth complex projective surfaces XX whose groups of CC^\infty-isotopically trivial automorphisms, resp. cohomologically trivial automorphisms, have a number of connected components which can be arbitrarily large.

Cite this article

Fabrizio Catanese, Wenfei Liu, On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 2, pp. 181–211

DOI 10.4171/RLM/933