On equivariant Serre problem for principal bundles
TLDR
In this paper, a Γ-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Γ, where G and Γ are complex linear algebraic groups.Abstract:
Let EG be a Γ-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Γ, where G and Γ are complex linear algebraic groups. Suppose X is contracti...read more
Citations
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Toric principal bundles, piecewise linear maps and Tits buildings
TL;DR: In this paper , the notion of integral piecewise linear maps from a fan to a toric principal G-bundle was introduced, and the class of isomorphism classes of (framed) toric vector bundles on these maps were recovered.
Logarithmic connections on principal bundles over normal varieties
TL;DR: In this article , it was shown that the existence of a logarithmic connection on a principal bundle over a toric variety, singular along the boundary divisor, is equivalent to a torus equivariant structure on the bundle.
Toric vector bundles, valuations and tropical geometry
Kiumars Kaveh,Christopher Manon +1 more
TL;DR: In this article , the authors give a valuation theoretic and tropical point of view on toric vector bundles, which can be regarded as repackagings of the Klyachko data of compatible $\mathbb{Z}$-filtrations.
References
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TL;DR: A compilation of two sets of notes at the University of Kansas was published in the Spring of 2002 by?? and the other in the spring of 2007 by Branden Stone.