Balanced metrics and Chow stability of projective bundles over Kähler manifolds
Seyyedali, Reza
Duke Math. J., Tome 151 (2010) no. 1, p. 573-605 / Harvested from Project Euclid
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In 1980, I. Morrison proved that the slope stability of a vector bundle of rank $2$ over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polarizations. Using the notion of balanced metrics and recent work of Donaldson, Zhang, Wang, and Phong-Sturm, we show that the statement holds for higher-rank vector bundles over compact algebraic manifolds of arbitrary dimension that admit constant scalar curvature metric and have discrete automorphism group
Publié le : 2010-06-15
Classification:  32Q15,  53C07 
@article{1275671398,
     author = {Seyyedali, Reza},
     title = {Balanced metrics and Chow stability of projective bundles over K\"ahler manifolds},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 573-605},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1275671398}
}

Seyyedali, Reza. Balanced metrics and Chow stability of projective bundles over Kähler manifolds. Duke Math. J., Tome 151 (2010) no. 1, pp.  573-605. http://gdmltest.u-ga.fr/item/1275671398/