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Signature morphisms from the Cremona group

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Zimmermann, Susanna

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Signature morphisms from the Cremona group
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7
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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The plane Cremona group is the group of birational transformations of the projective plane. I would like to discuss why over algebraically closed fields there are no homomorphisms from the plane Cremona group to a finite group, but for certain non-closed fields there are (in fact there are many).
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