7,045 research outputs found

    On curves with one place at infinity

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    Let ff be a plane curve. We give a procedure based on Abhyankar's approximate roots to detect if it has a single place at infinity, and if so construct its associated δ\delta-sequence, and consequently its value semigroup. Also for fixed genus (equivalently Frobenius number) we construct all δ\delta-sequences generating numerical semigroups with this given genus. For a δ\delta-sequence we present a procedure to construct all curves having this associated sequence. We also study the embeddings of such curves in the plane. In particular, we prove that polynomial curves might not have a unique embedding.Comment: 14 pages, 2 figure

    Elections, mass media and short-termism in foreign policy making: the case of Afghan war

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    After nearly eight years of conflict in Afghanistan it appears that the campaign is at its final stretch, with US and British troop withdrawals on the cards. However Nima Khorrami Assl writes that our short-termist strategies in Afghanistan expose inherent problems with the democratic process in producing effective foreign policy and that this is further complicated by an influential mass media
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