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- W2924368236 abstract "Let $X$ be a compact complex manifold in the Fujiki class $mathscr{C}$. We study the compactification of $operatorname{Aut}^0(X)$ given by its closure in Barlet cycle space. The boundary points give rise to non-dominant meromorphic self-maps of $X$. Moreover convergence in cycle space yields convergence of the corresponding meromorphic maps. There are analogous compactifications for reductive subgroups acting trivially on $operatorname{Alb} X$. If $X$ is Kahler, these compactifications are projective. Finally we give applications to the action of $operatorname{Aut}(X)$ on the set of probability measures on $X$. In particular we obtain an extension of Furstenberg lemma to manifolds in the class $mathscr{C}$." @default.
- W2924368236 created "2019-04-01" @default.
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- W2924368236 date "2019-01-30" @default.
- W2924368236 modified "2023-10-06" @default.
- W2924368236 title "Meromorphic limits of automorphisms" @default.
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- W2924368236 hasPublicationYear "2019" @default.
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