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This tag is used if a reference is needed in a paper or textbook on a specific result.

4 votes

Comprehensive and self-contained treatment of Algebraic Geometry using Functor of Points app...

The last chapter of Eisenbud-Harris, The geometry of schemes, GTM 197, is dedicated to the functor of points.
Niels's user avatar
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3 votes

Explicit description of the stack associated to a groupoid

This is called "Stackification via torsors" in the book by Kai Behrend, Brian Conrad, Dan Edidin, William Fulton, Barbara Fantechi, Lothar Göttsche and Andrew Kresch. See Andrew Kresch's homepage: ht …
Niels's user avatar
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4 votes
Accepted

Group action on a stack and fixed points

A standard reference is Romagny, Matthieu Group actions on stacks and applications. Michigan Math. J. 53 (2005), no. 1, 209–236. http://projecteuclid.org/euclid.mmj/1114021093 http://perso.univ-re …
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2 votes

Good introductory references on algebraic stacks?

Besides the references already given, I like Dan Edidin's Notes on the construction of the moduli space of curves https://arxiv.org/abs/math/9805101 I quote : "In section 3 we return to curves and …
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1 vote

Weights for etale cohomology: why does Deligne's definition work?

It seems that your question is not well defined unless $K$ is finitely generated over its prime field. See for instance Jannsen, Uwe Weights in arithmetic geometry. Jpn. J. Math. 5 (2010), no. 1, 73–1 …
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5 votes

Reference for Manin's idea on algebraic geometry over the symmetric monoidal model category ...

Not really an answer, but as a complement to Myshkin's, let me just mention a predecessor : Deligne's very famous (and magnificent) article Deligne, P. Le groupe fondamental de la droite projective m …
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5 votes

Are principal bundles isotrivial?

This answer is coming late, but since I have also been struggling to find a reference, I hope this can be helpful to other people. The answer is yes. Precisely, you can found a proof in Raynaud, Mi …
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15 votes
Accepted

Anabelian geometry study materials?

There is this very beautiful survey Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of algebraic curves http://www.math.sci.osaka-u.ac. …
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