On the complex dynamics of birational surface maps defined over number fields
2016 ◽
Vol 0
(0)
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Keyword(s):
AbstractWe show that any birational selfmap of a complex projective surface that has dynamical degree greater than one and is defined over a number field automatically satisfies the Bedford–Diller energy condition after a suitable birational conjugacy. As a consequence, the complex dynamics of the map is well behaved. We also show that there is a well-defined canonical height function.
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1995 ◽
Vol 118
(1)
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pp. 65-69
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1979 ◽
Vol 85
(1)
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pp. 25-31
2018 ◽
Vol 14
(09)
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pp. 2333-2342
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2014 ◽
Vol 10
(04)
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pp. 885-903
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2012 ◽
Vol 11
(05)
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pp. 1250087
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