Local and global canonical height functions for affine space regular automorphisms
نویسندگان
چکیده
منابع مشابه
Local and global canonical height functions for affine space regular automorphisms
Let f : A → A be a regular polynomial automorphism defined over a number field K . For each place v of K , we construct the v-adic Green functions Gf,v and Gf−1,v (i.e., the v-adic canonical height functions) for f and f . Next we introduce for f the notion of good reduction at v, and using this notion, we show that the sum of v-adic Green functions over all v gives rise to a canonical height f...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2013
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2013.7.1225