O ct 2 00 7 Linear Recurrences in the Degree Sequences of Monomial Mappings
نویسنده
چکیده
for all n ∈ N. In dimension k = 2, there is only the case p = 1 to consider. Favre [F] has given necessary and sufficient conditions for a monomial map in dimension 2 to have a regularization π : X → P satisfying (1.2). Diller and Favre [DF] showed that for every bimeromorphic surface map there is such a regularization. Favre and Jonsson [FJ] have shown that the degree sequence of a polynomial map of C always satisfies (1.3). In dimension k = 3, Hasselblatt and Propp [HP] showed that there is a matrix A ∈ GL(3,Z) such that the degree sequence {d (n) 1 } = {deg(f n A)} does not satisfy any linear recurrence.
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