A RetroSearch Logo

Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Search Query:

Showing content from https://doi.org/10.1007/BF02829538 below:

Algebraic stacks | Proceedings - Mathematical Sciences

Abstract

This is an expository article on the theory of algebraic stacks. After introducing the general theory, we concentrate in the example of the moduli stack of vector bundles, giving a detailed comparison with the moduli scheme obtained via geometric invariant theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article Subscribe and save

Springer+

from €39.99 /Month

View plans Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others References
  1. Artin M, Algebraic Spaces, Yale Math. Monographs 3 (Yale University Press), (1971)

  2. Artin M, Versal deformations and algebraic stacks,Invent. Math.27 (1974) 165–189

    Article  MATH  MathSciNet  Google Scholar 

  3. Deligne P and Mumford D, The irreducibility of the space of curves of given genus,Publ. Math. IHES 36 (1969) 75–110

    MATH  MathSciNet  Google Scholar 

  4. Edidin D, Notes on the construction of the moduli space of curves, preprint (1999)

  5. Giraud J, Cohomologie non abélienne, Die Grundlehren der Mathematischen Wissenschaften, Band 179 (Springer Verlag) (1971)

  6. Hakim M, Topos annelés et schémas relatifs, Ergebnisse der Math. und ihrer Grenzgebiete 64 (Springer Verlag) (1972)

  7. Hartshorne R, Algebraic geometry, Grad. Texts in Math. 52 (Springer Verlag) (1977)

  8. Huybrechts D and Lehn M, The geometry of moduli spaces of sheaves, Aspects of Mathematics E31 (Vieweg, Braunschweig/Wiesbaden) (1997)

    Google Scholar 

  9. Knutson D, Algebraic spaces, LNM 203 (Springer Verlag) (1971)

  10. Laumon G, Champs algébriques, Prépublications 88-33, (U. Paris-Sud) (1988)

  11. Laumon G and Moret-Bailly L, Champs algébriques, Ergegnisse der Math. und ihrer Grenzgebiete. 3. Folge, 39 (Springer Verlag) (2000)

  12. Mac Lane S and Moerdijk I, Sheaves in Geometry and Logic, Universitext, Springer-Verlag, 1992

  13. Simpson C, Moduli of representations of the fundamental group of a smooth projective variety I,Publ. Math. I.H.E.S. 79 (1994) 47–129

    MATH  MathSciNet  Google Scholar 

  14. Tamme G, Introduction to Etale Cohomology, Universitext (Springer-Verlag) (1994)

  15. Vistoli A, Intersection theory on algebraic stacks and their moduli spaces,Invent. Math. 97 (1989) 613–670

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information Authors and Affiliations
  1. Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai, India

    Tomás L Gómez

Corresponding author

Correspondence to Tomás L Gómez.

About this article Cite this article

Gómez, T.L. Algebraic stacks. Proc Math Sci 111, 1–31 (2001). https://doi.org/10.1007/BF02829538

Download citation

Keywords

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4