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Zeta Functions of Singular Hypersurfaces with Ordinary Double Points
- Stetson, Scott Bradley
- Advisor(s): Baranovsky, Vladimir
Abstract
Given a surface with isolated ordinary double points in P^3 over F_q and an equisingular liftof its equation to Z_q, where q = p^a for p > 3, we give an algorithm that computes its zeta function via p-adic cohomology, using results of Dimca and Saito on singular hypersurfaces in characteristic zero.
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