A classification of equivariant principal bundles over nonsingular toric varieties


Creative Commons License

Biswas I., Dey A., Poddar M.

INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.27, sa.14, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Konu: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0129167x16501159
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS

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.