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A common way in which to build new mathematical objects from old is to take Cartesian products. The product of two additive groups, for example, is a group when equipped with componentwise addition, and the product of two topological spaces is a topological space when equipped with the product topology. In this chapter, we seek to understand the Cartesian product of two affine varieties.

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  • 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

A common way in which to build new mathematical objects from old is to take Cartesian products. The product of two additive groups, for example, is a group when equipped with componentwise addition, and the product of two topological spaces is a topological space when equipped with the product topology. In this chapter, we seek to understand the Cartesian product of two affine varieties.