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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…