[PDF][PDF] The Abhyankar-Moh theorem for plane valuations at infinity

C Galindo, F Monserrat - arXiv preprint arXiv:0910.2613, 2009 - arxiv.org
arXiv preprint arXiv:0910.2613, 2009arxiv.org
… Section 3 summarizes some basic results on plane valuations, introduces the class of
plane valuations which we are interested in, plane valuations at infinity, and describes the
value semigroup of these valuations according their type. We normalize these semigroups
to adapt them to the concept of δ-sequence for our class of valuations, concept that is
provided in Section 4. In this section, we prove our main result, Theorem 4.1, that we call
Abhyankar-Moh Theorem for plane valuations at infinity, whose statement goes parallel with …
We introduce the class of plane valuations at infinity and prove an analogue to the Abhyankar-Moh (semigroup) Theorem for it.
arxiv.org
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