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Mar 19, 2018 at 5:31 comment added Daniel Hast For reference, closed subschemes and ideal sheaves are defined in section 8.1 of Vakil's notes (as of the November 2017 version), and the correspondence between closed subschemes and quasicoherent ideal sheaves is discussed in section 13.5.4.
Mar 18, 2018 at 22:45 comment added Jeremy Gross Thank you. That's a great answer. I'm working my way through Ravi Vakil's notes, and I'm still on Chapter 5 (well before closed subschemes are defined, let alone quasi-coherent ideal sheaves), but this gives me something to focus on as I come across these concepts.
Mar 18, 2018 at 22:30 vote accept Jeremy Gross
Mar 18, 2018 at 15:18 history answered Daniel Hast CC BY-SA 3.0