$p$-adic Integral Geometry

Autor: Kulkarni, Avinash, Lerario, Antonio
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We prove a $p$-adic version of the Integral Geometry Formula for averaging the intersection of two $p$-adic projective algebraic sets. We apply this result to give bounds on the number of points in the modulo $p^m$ reduction of a projective set (reproving a result by Oesterl\'e) and to the study of random $p$-adic polynomial systems of equations.
Databáze: arXiv