$p$-adic Integral Geometry
Autor: | Kulkarni, Avinash, Lerario, Antonio |
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Rok vydání: | 2019 |
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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 |
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