Editing Algebraic stack (section)

== External links ==
=== Artin's Axioms ===
* https://stacks.math.columbia.edu/tag/07SZ - Look at "Axioms" and "Algebraic stacks"
* [https://web.archive.org/web/20201001012450/https://sites.math.washington.edu/~jarod/papers/mainz.pdf Artin Algebraization and Quotient Stacks - Jarod Alper]

=== Papers ===

* {{cite web |last=Alper |first=Jarod |year=2009 |title=A Guide to the Literature on Algebraic Stacks |url=https://pdfs.semanticscholar.org/816b/67f2a8163533db5720b9fa608f0bb9d8d3b0.pdf |archive-url=https://web.archive.org/web/20200213125356/https://pdfs.semanticscholar.org/816b/67f2a8163533db5720b9fa608f0bb9d8d3b0.pdf |url-status=dead |archive-date=2020-02-13 |s2cid=51803452}}
* {{cite journal |arxiv=1011.5484|doi=10.1016/j.aim.2013.12.002|doi-access=free|title=The Hilbert stack|year=2014|last1=Hall|first1=Jack|last2=Rydh|first2=David|journal=[[Advances in Mathematics]]|volume=253|pages=194–233|s2cid=55936583}}
* {{cite journal |last= Behrend |first=Kai A.|year=2003 |title=Derived ℓ-Adic Categories for Algebraic Stacks |url=http://www.math.ubc.ca/~behrend/ladic.pdf |journal=Memoirs of the American Mathematical Society |volume=163 |issue=774 |pages=1–93 |doi=10.1090/memo/0774|isbn= 978-1-4704-0372-0}}

=== Applications ===

* {{cite arXiv |eprint=1404.6416|last1=Lafforgue|first1=Vincent|title=Introduction to chtoucas for reductive groups and to the global Langlands parameterization|year=2014|class=math.AG}}
* {{cite book |doi=10.1007/978-3-540-37855-6_4|chapter=Les Schémas de Modules de Courbes Elliptiques|title=Modular Functions of One Variable II|series=Lecture Notes in Mathematics|year=1973|last1=Deligne|first1=P.|last2=Rapoport|first2=M.|volume=349|pages=143–316|isbn=978-3-540-06558-6}}
* {{cite journal |url=https://www.mscand.dk/article/view/12001 |title=The projectivity of the moduli space of stable curves, II: The stacks <math>\mathcal{M}_{g,n}</math> |doi=10.7146/math.scand.a-12001 |year=1983|last1=Knudsen|first1=Finn F.|journal=Mathematica Scandinavica|volume=52|page=161|doi-access=free}}
* {{cite arXiv |eprint=1911.00250|last1=Jiang|first1=Yunfeng|title=On the construction of moduli stack of projective Higgs bundles over surfaces|year=2019|class=math.AG}}

=== Other ===

* [https://stacks.math.columbia.edu/tag/04SL Examples of Stacks]
* [[arxiv:math/0412512|Notes on Grothendieck topologies, fibered categories and descent theory]]
* [https://web.archive.org/web/20200801212411/https://folk.uio.no/fredrme/algstacks.pdf Notes on algebraic stacks]

[[Category:Algebraic curves]]
[[Category:Moduli theory]]
[[Category:Algebraic geometry]]