A classification of equivariant principal bundles over nonsingular toric varieties
INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.27, sa.14, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 14
- Basım Tarihi: 2016
- Doi Numarası: 10.1142/s0129167x16501159
- Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Toric varieties, equivariant bundles, principal bundles, VECTOR-BUNDLES
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We classify holomorphic as well as algebraic torus equivariant principal G-bundles over a nonsingular toric variety X, where G is a complex linear algebraic group. It is shown that any such bundle over an affine, nonsingular toric variety admits a trivialization in equivariant sense. We also obtain some splitting results.