Hostname: page-component-77c89778f8-rkxrd Total loading time: 0 Render date: 2024-07-16T12:26:38.536Z Has data issue: false hasContentIssue false
  • English
  • Français

Chow instability of certain projective varieties

Published online by Cambridge University Press:  22 January 2016

Shihoko Ishii
Shihoko Ishii*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Fukazawa-2, Setagaya, Tokyo 158, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A pair (X, D) of a projective variety X and a very ample divisor D on X is called stable (resp. semi-stable, resp. unstable) if the Chow point corresponding to the embedding is SL(N + 1)-stable (resp. semi-stable, resp. unstable). The criterion for stability is one of the most important steps in proving the existence of moduli spaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 39 - 50
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

[1] Kempf, G., Instability in invariant theory, Ann. of Math., 108 (1978), 299–316.CrossRefGoogle Scholar
[2] Gieseker, D., Global moduli for surfaces of general type, Invent. Math., 43 (1980), 269–304.Google Scholar
[3] Morrison, I., Projective stability of ruled surfaces, Invent. Math., 56 (1980), 269–304.CrossRefGoogle Scholar
[4] Mumford, D., Stability of projective varieties, L’Enseignement Math., XXIII, (1977), 39–110.Google Scholar
[5] Snapper, E., Polynomials associated with divisors, J. Math. Mech., 9 (1960), 123–139.Google Scholar
[6] Ishii, S., Some projective contraction theorems, Manuscripta Math., 22 (1977), 343–358.CrossRefGoogle Scholar