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Given a set of polynomial equations, arguably the most fundamental geometric question one could ask about its solution set is how “big” it is. This is the question on which we aim to shed light in this chapter by introducing the important concept of dimension of affine varieties.

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Dimension

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Emily Clader,
  • Dustin Ross

摘要

Given a set of polynomial equations, arguably the most fundamental geometric question one could ask about its solution set is how “big” it is. This is the question on which we aim to shed light in this chapter by introducing the important concept of dimension of affine varieties.