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In the introduction to Chapter 4, the reader was encouraged to ask a key question whenever a new type of mathematical object is introduced: which maps between these objects preserve their relevant structure? For affine varieties, we landed upon polynomial maps as the appropriate notion of structure-preserving maps, and the first goal of this chapter is to define a corresponding notion in the projective setting.

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Maps of Projective Varieties

  • 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

In the introduction to Chapter 4, the reader was encouraged to ask a key question whenever a new type of mathematical object is introduced: which maps between these objects preserve their relevant structure? For affine varieties, we landed upon polynomial maps as the appropriate notion of structure-preserving maps, and the first goal of this chapter is to define a corresponding notion in the projective setting.