A classification of equivariant principal bundles over nonsingular toric varieties

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Biswas I., Dey A., Poddar M.

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.