p-Adic Integral Geometry

被引：4

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

页码：28 / 59

页数：32

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