Wild Singularites on the Fermat Curve over Z

Hironobu Maeda

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 609-618 from Springer

Abstract: Abstract Let p be an odd prime and Z denote the ring of rational integers. The singularities of the two-dimensional hypersurface x p +y p - 1 = 0 in Spec(Z[x, y]) are determined. These singularities are all rational double points of type either A p-1 or A 2p-1.

Keywords: Singular Point; Local Ring; Maximal Ideal; Double Point; Exceptional Divisor (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-18487-1_35

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