P-Adic Integral Geometry
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY（2021）
Abstract
We prove a p-adic version of the integral geometry formula for averaging the intersection of two p-adic projective varieties. We apply this result to give bounds on the number of points in the modulo pm reduction of a projective variety (reproving a result by Oesterle) and to the study of random p-adic polynomial systems of equations.
MoreTranslated text
Key words
integral geometry formula, p-adic volume, zeros of random polynomials
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined