p-Adic Integral Geometry

被引：3
|
作者：
Kulkarni, Avinash [1 ]
Lerario, Antonio [2 ]
机构：
[1] Dartmouth Coll, Math, Hanover, NH 03755 USA
[2] SISSA, Math, I-34136 Trieste, Italy
来源：
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY | 2021年 / 5卷 / 01期
关键词：
integral geometry formula; p-adic volume; zeros of random polynomials; THEOREM; ZEROS;
D O I：
10.1137/19M1284737
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：28 / 59
页数：32
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