The GIT-Equivalence for G-Line Bundles

Geometriae Dedicata

Volumn 81, Issue 1-3, 2000, Pages 295-324

  Ressayre, N ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Geometric invariant theory; Linearization of the group action; Luna slice theorem

Indexed keywords

EID: 0042727761     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005275524522     Document Type: Article

References (13)

1. Kraft, H.: Geometrische Methoden in der Invariantentheorie, Viehweg, Braunschweig-Weisbaden, 1985.
2. Fogarty, J., Mumford, D. and Kirwan, F.: Geometric Invariant Theory, 3rd edn, Springer-Verlag, New York, 1994.
3. Brion, M. and Procesi, C.: Action d'un tore dans une variété projective, In: M. Duflo, A. Joseph, A. Connes and R. Rentschler (eds), Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory, Birkhäuser, Basel, 1990, pp. 509-539.
4. Thaddeus, M.: Geometric invariant theory and flips, J. Amer. Math. Soc. 9(3) (1996), 691-723.
5. Dolgachev, I. and Hu, Y.: Variation of geometric invariant theory quotients, Pub. IHES, (1998), pp. 5-56.
6. Walter, C.: Variation of quotients and étale slices in geometric invariant theory, Preprint, 1998.
7. Ness, L.: Mumford's numerical function and stable projective hypersurfaces, In: Algebraic Geometry (Copenhagen, 1978), Lecture Notes in Math. 732, Springer, New York, 1978, pp. 417-453.
8. Kempf, G. R.: Instability in invariant theory, Ann. of Math. 108 (1978), 2607-2617.
9. Ness, L.: A stratification of the null cone via the moment map, Amer. J. Math. 106(1984), 1281-1329.
10. Hesselink, W. H.: Desingularizations of varieties of nullforms, Invent. Math. 55 (1979), 141-163.
11. Heizner, P. and Migliorini, L.: Projectivity of moment map quotients, Preprint (dg-ga/9712008), Dec. 1997.
12. Vinberg, E. B. and Popov, V. L.: Invariant theory, In: Algebraic Geometry IV, Encyclopedia of Math. Sci. 55, Springer-Verlag, Springer, Berlin, 1994, pp. 123-238.
13. n, C.R. Acad. Sci. Paris 321(I) (1995), 1577-1582.