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Displaying 181 –
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405
To a given analytic function germ , we associate zeta
functions , , defined analogously to the motivic
zeta functions of Denef and Loeser. We show that our zeta functions are rational and that
they are invariants of the blow-analytic equivalence in the sense of Kuo. Then we use
them together with the Fukui invariant to classify the blow-analytic equivalence classes
of Brieskorn polynomials of two variables. Except special series of singularities our
method classifies as well the blow-analytic...
We generalize Nakamaye’s description, via intersection theory, of the augmented base locus of a big and nef divisor on a normal pair with log-canonical singularities or, more generally, on a normal variety with non-lc locus of dimension . We also generalize Ein-Lazarsfeld-Mustaţă-Nakamaye-Popa’s description, in terms of valuations, of the subvarieties of the restricted base locus of a big divisor on a normal pair with klt singularities.
Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.
Using BMY inequality and a Milnor number bound we prove that any algebraic annulus in with no self-intersections can have at most three cuspidal singularities.
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