Denis Ibadula: On the Plane Cubics over $\mathbb{Q}_p$ and the Associated Igusa Zeta Function, p.253-277

Abstract:

In this paper we determine the explicit form of the Igusa local zeta function associated to the plane cubics defined over the field of $p$-adic numbers $\mathbb{Q}_p$ and classify them. We will use this in a next paper [#!Iba05b!#] in order to classify the plane cubics over $\mathbb{Q}_p$ from the point of view of their Igusa local zeta function.

Key Words: Igusa local zeta function, Plane cubics.

2000 Mathematics Subject Classification: Primary: 11S40,
Secondary 14H50.

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