![]() If your source has four or more authors, you’ll use the first author’s surname followed by et al. Its hard to point you any other particular reference without knowing what your goal in learning stacks is. Referencing a PDF with four or more authors. Laumon and Moret-Bailly's Champs Algébriques is nice and contains more theorems that just the EGA style stuff. A stack can have all the resources (web server, database, etc.) required to run a web application. CloudFormation’s template defines a stack in which the resources can be created, deleted or updated in a predictable way. Knutson's book Algebraic Spaces is very good for the EGA-style content, and its introduction will point you to many nice applications of algebraic spaces that are worth learning and will motivate you to learn the EGA-style stuff. Stacks in AWS CloudFormation A collection of AWS resources is called a stack, and it can be managed in a single unit. ![]() the The intermediate step of learning to think about geometry in terms of functors of points is crucial. as a functor from rings^op to sets) it will be hard to wrap your head around the notion of a stack. If you are not used to thinking of schemes functorially (e.g. I believe it really clarifies things to learn these separately.Īlso, the formal notion of a stack is a generalization of functor. You don't need to do things 2-categorically for algebraic spaces, so it makes sense to learn them first. what it means for a morphism to be smooth or flat or locally finitely presented) and 2) 2-categorical stuff (e.g. The point is that the new things you need to learn for stacks fall into two categories (which are mostly disjoint): 1) making local, functorial, and non-topological definitions (e.g. My general advice is to learn algebraic spaces first. Olsson, AMS Colloquium Publications, volume 62, 2016. Olsson's notes have been published as:Īlgebraic Spaces and Stacks, M. Anton live-texed notes to Martin's Olsson's course on stacks a few years ago.
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