I’d like a reference for a very basic definition of stacks

Kashiwara’s paper almost does it

except for example writing such as

for every open set U in the cover there is a cat C(U)

so U –> C(U) is a functor to the category of categories?

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1 Answer

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Dear professor Stasheff,

I suggest you the following paper:

Fantechi Barbara – Stacks for everybody, available at professor Rehmann’s home page;

Gأ³mez Tomأ،s L. – Algebraic stacks, available at arxiv.org;

Vistoli Angelo – Notes on Grothendieck topologies, fibered categories and descent theory, available at arxiv.org.

I hope I was helpful,

best regards.

Armando