A new p-adic integral geometry formula relates the average size of intersections of p-adic projective algebraic sets to their volumes, with applications to point counting and random polynomial systems.
Condition , volume 349 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
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$p$-adic Integral Geometry
A new p-adic integral geometry formula relates the average size of intersections of p-adic projective algebraic sets to their volumes, with applications to point counting and random polynomial systems.