nLab
geometric invariant theory

Contents

Idea

Geometric invariant theory studies the construction of moduli spaces / moduli stacks in terms of quotients / action groupoids.

This is the geometric aspect (Isbell dual aspect) of invariant theory.

References

  • David Mumford, John Fogarty, Frances Clare Kirwan, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (2) 34, Springer-Verlag

  • David Mumford, Stability of projective varieties, L’Enseignement Mathématique 23 (1977) doi

  • David J. Swinarski, Geometric Invariant Theory and Moduli Spaces of Maps (pdf)

  • Jürgen Hausen, A generalization of Mumford’s geometric invariant theory (pdf)

Revised on March 1, 2013 20:17:39 by Zoran Škoda (161.53.130.104)