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We have now studied two types of varieties—affine and projective—that behave similarly in some ways and yet appear to occupy two separate worlds. The goal of this chapter is to unify these worlds, introducing a more general notion of “variety” that includes both affine and projective varieties as special cases.

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Quasiprojective Varieties

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  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Emily Clader,
  • Dustin Ross

摘要

We have now studied two types of varieties—affine and projective—that behave similarly in some ways and yet appear to occupy two separate worlds. The goal of this chapter is to unify these worlds, introducing a more general notion of “variety” that includes both affine and projective varieties as special cases.