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FORTY QUESTIONS ON SINGULARITIES OF ALGEBRAIC VARIETIES

机译:关于代数变量奇异性的四十个问题

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摘要

The reader will find in this article a collection of problems, questions and exer-cises related to the singularities of algebraic and analytic varieties. Many of them are inspired by the work and mathematical conception of Hironaka: they are concrete, involve basic ideas and techniques from geometry and algebra, and they can imme-diately be attacked from scratch. Some problems rely on or use results proven by Hironaka. Simple and double asterisques indicate the more difficult problems; they may potentially serve as a topic of future research.
机译:读者将在本文中找到与代数和解析变量的奇异性有关的问题,问题和练习集。他们中的许多人受到Hironaka的工作和数学概念的启发:它们是具体的,涉及几何和代数的基本思想和技术,并且可能立即受到从零开始的攻击。有些问题依赖或使用了Hironaka证明的结果。简单和双重星号表示更困难的问题。它们可能会成为未来研究的主题。

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