31,481 research outputs found
Motivic Milnor fiber of a quasi-ordinary hypersurface
Let f : (Cd+1, 0) -> (C, 0) be a germ of complex analytic function such that its zero level defines an irreducible germ of quasi-ordinary hypersurface (S, 0) subset of (Cd+1, 0). We describe the motivic Igusa zeta function, the motivic Milnor fibre and the Hodge-Steenbrink spectrum of f at 0 in terms of topological invariants of (S, 0) subset of (Cd+1, 0)
The Dunford-Pettis property on tensor products
We show that, in some cases, the projective and the injective tensor products
of two Banach spaces do not have the Dunford-Pettis property (DPP). As a
consequence, we obtain that fails the DPP.
Since does enjoy it, this provides a new space
with the DPP whose dual fails to have it. We also prove that, if and
are -spaces, then has the DPP if
and only if both and have the Schur property. Other results and
examples are given.Comment: 9 page
Log canonical thresholds of quasi-ordinary hypersurface singularities
The log canonical thresholds of irreducible quasi-ordinary hypersurface
singularities are computed, using an explicit list of pole candidates for the
motivic zeta function found by the last two authors
Surjective factorization of holomorphic mappings
We characterize the holomorphic mappings between complex Banach spaces
that may be written in the form , where is another holomorphic
mapping and belongs to a closed surjective operator ideal.Comment: 8 page
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