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arXiv · 1802.05702

Virtual Cartier divisors and blow-ups

Adeel A. Khan·David Rydh
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Abstract

We prove a universal property for blow-ups 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.

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Adeel A. Khan, David Rydh. 2018-02-15. Virtual Cartier divisors and blow-ups. https://doi.org/10.1007/s00029-025-01060-7

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