A的证明加布里洛夫秩定理
A proof of A. Gabrielov's rank Theorem
摘要：
本文给出了解析映射芽研究中的一个基本结果--Gabrielov秩定理的完整证明。受Gabrielov和Tougeron作品的启发，我们开发了形式几何技术，澄清了原始证明的困难部分。这些技术是独立的利益，我们说明了这一点，增加了一个新的（很短）证明的Abhyankar-Jung定理。此外，我们包括新的扩展秩定理（关于Zagliki主要定理和消除理论）交换代数。
英文摘要：
This article contains a complete proof of Gabrielov's rank Theorem, a fundamental result in the study of analytic map germs. Inspired by the works of Gabrielov and Tougeron, we develop formal-geometric techniques which clarify the difficult parts of the original proof. These techniques are of independent interest, and we illustrate this by adding a new (very short) proof of the Abhyankar-Jung Theorem. We include, furthermore, new extensions of the rank Theorem (concerning the Zariski main Theorem and elimination theory) to commutative algebra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
