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Remarks on the degree growth of birational transformations

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 نشر من قبل Christian Urech
 تاريخ النشر 2016
  مجال البحث
والبحث باللغة English
 تأليف Christian Urech




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We look at sequences of positive integers that can be realized as degree sequences of iterates of rational dominant maps of smooth projective varieties over arbitrary fields. New constraints on the degree growth of endomorphisms of the affine space and examples of degree sequences are displayed. We also show that the set of all degree sequences of rational maps is countable; this generalizes a result of Bonifant and Fornaess.

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