4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CA2004
Oscillating integrals and Newton polyhedra
Jan Denef, Johannes Nicaise, Patrick Sargos
We establish a principal value integral formula, for the residue of the largest non-trivial candidate pole of the real or complex local zeta function associated to an analytic germ…
math.AG2004★ 4 cited
Zeta functions and Alexander modules
Johannes Nicaise
We introduce the etale framework to study Igusa zeta functions in several variables, generalizing the machinery of vanishing cycles in the univariate case. We define the etale Alex…
math.AG2004
Arcs and resolution of singularities
Johannes Nicaise
For a certain class of varieties X, we derive a formula for the valuation d_{X} on the arc space L(Y) of a smooth ambient space Y, in terms of an embedded resolution of singulariti…