Birational automorphisms of higher-dimensional algebraic varieties.
Pukhlikov, Aleksandr V. (1998)
Documenta Mathematica
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Pukhlikov, Aleksandr V. (1998)
Documenta Mathematica
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Zbigniew Jelonek (1994)
Mathematische Zeitschrift
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F. Catanese (1987)
Compositio Mathematica
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Cohn, P. (2002)
Serdica Mathematical Journal
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The theorem of Czerniakiewicz and Makar-Limanov, that all the automorphisms of a free algebra of rank two are tame is proved here by showing that the group of these automorphisms is the free product of two groups (amalgamating their intersection), the group of all affine automorphisms and the group of all triangular automorphisms. The method consists in finding a bipolar structure. As a consequence every finite subgroup of automorphisms (in characteristic zero) is shown to be conjugate...
Masaki Hanamura (1987)
Compositio Mathematica
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Giovanni Cutolo (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
Kures̆, Miroslav (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Miguel A. Barja, Juan Carlos Naranjo (1998)
Collectanea Mathematica
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Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.