Abstract
For m 2 N;m 1; we determine the irreducible components of the m th jet scheme of a normal toric surface S: We give formulas for the number of these components and their dimensions. This permits to determine the log canonical threshold of a toric surface embedded in an ane space. When m varies, these components give rise to projective systems, with which we associate a weighted oriented graph. We prove that the data of this graph is equivalent to the data of the analytical type of S: Besides, we classify these irreducible components by an integer invariant that we call index of speciality. We prove that for m large enough, the set of components with index of speciality 1; is in 1 1 correspondance with the set of exceptional divisors that appear on the minimal resolution of S:
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