کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1898681 | 1044757 | 2011 | 10 صفحه PDF | دانلود رایگان |
Motivated by Yang–Mills theory in 4n4n dimensions, and generalizing the notion due to Atiyah, Drinfeld, Hitchin and Manin for n=1n=1, Okonek, Spindler and Trautmann introduced instanton bundles and special instanton bundles as certain algebraic vector bundles of rank 2n2n on the complex projective space P2n+1P2n+1. The moduli space of special instanton bundles is shown to be rational.
► Instanton bundles are certain algebraic vector bundles of rank 2n on P2n+1P2n+1.
► Their study has been motivated by Yang–Mills theory in 4n dimensions.
► Spindler and Trautmann have introduced moduli spaces of special instanton bundles.
► These spaces are shown to be rational, even if Poincaré families do not exist.
► The proof involves a case of Noether’s problem, and Severi–Brauer varieties.
Journal: Journal of Geometry and Physics - Volume 61, Issue 12, December 2011, Pages 2321–2330