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Abstract: The Cremona group acts on the field of two independent commutative variablesover complex numbers. We provide a non-commutative ring that is an analog ofnon-commutative field of two independent variables and prove that the Cremonagroup embeds in the group of outer automorphisms of this ring. First proof ofthis result is technical, the second one is conceptual and gives a way toobtain non-commutative rings from the bounded derived categories of coherentsheaves.



Autor: Alexandr Usnich

Fuente: https://arxiv.org/



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