Fibred Products of Schemes; Some notes

Fibred Products of Schemes; Some notes

What’s Included: A set of notes on fibred products (a categorical definition), a construction for affine schemes, showing fibred products exist for arbitrary schemes, and then a survey of some finiteness properties.

Why It’s Included: I wrote a set of notes on fibred products of schemes a while ago, with the intent of including much more information than is currently included (I wanted to write about some things like: proving Zariski’s main theorem, including a section about varying families of fibres for flat/smooth morphisms, and a section on the higher direct image sheaves and the cohomology of fibres in a family). But I won’t have time to do that for a while (if ever), so I’m posting whatever I have currently here.

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