Atıf İçin Kopyala
Biswas I., Dey A., Poddar M.
INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.27, sa.14, 2016 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
27
Sayı:
14
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Basım Tarihi:
2016
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Doi Numarası:
10.1142/s0129167x16501159
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Dergi Adı:
INTERNATIONAL JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Anahtar Kelimeler:
Toric varieties, equivariant bundles, principal bundles, VECTOR-BUNDLES
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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.