On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces

2020/12/21 by Fabrizio Catanese, Catanese, Fabrizio, Wenfei Liu +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2012.11272

openalex publication_date 2020/12/21 · openalex created_date 2021/01/05 · openalex updated_date 2026/07/28

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 X whose groups of C^∞-isotopically trivial automorphisms, resp. cohomologically trivial automorphisms, have a number of connected components which can be arbitrarily large.

Citations

• A Superficial Working Guide to Deformations and Moduli

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