Chow-stability and Hilbert-stability in Mumford's geometric invariant theory

Mabuchi, Toshiki

Osaka J. Math., Tome 45 (2008) no. 1, p. 833-846 / Harvested from Project Euclid

Résumé

In this note, we shall show that Chow-stability and Hilbert-stability in GIT asymptotically coincide. The proof in [5] is simplified in the present form, while a quick review is in [6].

Publié le : 2008-09-15
Classification: 14L24, 32Q15, 32Q20, 53C25

@article{1221656656,
     author = {Mabuchi, Toshiki},
     title = {Chow-stability and Hilbert-stability in Mumford's geometric invariant theory},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 833-846},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1221656656}
}

Mabuchi, Toshiki. Chow-stability and Hilbert-stability in Mumford's geometric invariant theory. Osaka J. Math., Tome 45 (2008) no. 1, pp.  833-846. http://gdmltest.u-ga.fr/item/1221656656/