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- W2001435770 abstract "The two-dimensional case of the famous Jacobian conjecture of O.-H. Keller asserts that every unramified polynomial self-map of an affine plane is invertible. Many geometric approaches to this conjecture involve divisorial valuations of the field ({mathbb{C}}(x,y)), centered outside of the affine plane. Two integer invariants of these valuations naturally appear in this context. In this paper we study these invariants using combinatorics of weighted graphs. In particular, we prove that whenever both invariants are fixed, the corresponding valuations form a finite number of families up to plane automorphisms." @default.
- W2001435770 created "2016-06-24" @default.
- W2001435770 creator A5056955193 @default.
- W2001435770 date "2013-08-10" @default.
- W2001435770 modified "2023-09-25" @default.
- W2001435770 title "On two invariants of divisorial valuations at infinity" @default.
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- W2001435770 doi "https://doi.org/10.1007/s10801-013-0462-9" @default.
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