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<p>We prove a universal property for blowups in regularly immersed subschemes, based on a notion we call “virtual effective Cartier divisor”. We also construct blow-ups of quasi-smooth closed immersions in derived algebraic geometry.</p>

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Virtual Cartier divisors and blow-ups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月15日

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  • Adeel A. Khan,
  • David Rydh

摘要

We prove a universal property for blowups in regularly immersed subschemes, based on a notion we call “virtual effective Cartier divisor”. We also construct blow-ups of quasi-smooth closed immersions in derived algebraic geometry.