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Sea X una variedad algebroide sumergida en Kn, es decir
X = V(I) = Spec.(K[[Z1,...,Zn]] / I)
con I ideal radical. En estas condiciones llamamos primer exponente característico de la variedad algebroide X al número
δ(x) = sup.{δ(X,W')}, con W' curva algebroide regular
donde δ(X,W') es el exponente de contacto de las variedades W' y X. Con el fin de estudiar mejor estos exponentes de contacto...
En este trabajo se estudian las técnicas de ultraproductos necesarias para la resolución de singularidades. Utilizando estas técnicas se caracteriza el ultraproducto de variedades definidas sobre cuerpos de característica cualquiera y se estudian las condiciones necesarias y suficientes para que dicho ultraproducto sea no singular.
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