%0 Journal Article
%A González Pérez, Pedro Daniel
%A Teissier, Bernard
%T Toric geometry and the Semple-Nash modification
%D 2014
%@ 1578-7303
%U https://hdl.handle.net/20.500.14352/33248
%X This paper proposes some material towards a theory of general toric varieties without the assumption of normality. Their combinatorial description involves a fan to which is attached a set of semigroups subjected to gluing-up conditions. In particular it contains a combinatorial construction of the blowing up of a sheaf of monomial ideals on a toric variety. In the second part it is shown that over an algebraically closed base field of zero characteristic the Semple-Nash modification of a general toric variety is isomorphic to the blowing up of the sheaf of logarithmic jacobian ideals and that in any characteristic this blowing-up is an isomorphism if and only if the toric variety is non singular.
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