7,045 research outputs found
On curves with one place at infinity
Let 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 -sequence, and consequently its value
semigroup. Also for fixed genus (equivalently Frobenius number) we construct
all -sequences generating numerical semigroups with this given genus.
For a -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
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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