most citedIgusa's p-adic local zeta function and the Monodromy Conjecture for non-degenerated surface singularities

7 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2013★ 7 cited

Igusa's p-adic local zeta function and the Monodromy Conjecture for non-degenerated surface singularities

Bart Bories, Willem Veys

In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerated surface singularity. We start from their work and obta…

math.AG2010★ 3 cited

Zeta functions and Bernstein-Sato polynomials for ideals in dimension two

Bart Bories

For a nonzero ideal I of C[x_1,...,x_n], with 0 in supp I, a generalization of a conjecture of Igusa - Denef - Loeser predicts that every pole of its topological zeta function is a…

math.NT2010★ 4 cited

Igusa's p-adic local zeta function associated to a polynomial mapping and a polynomial integration measure

Bart Bories

For p prime, we give an explicit formula for Igusa's local zeta function associated to a polynomial mapping f=(f_1,...,f_t): Q_p^n -> Q_p^t, with f_1,...,f_t in Z_p[x_1,...,x_n], a…