On the equivariant vector bundles on \mathbbCP¹

2025/07/03 by Biswas, Indranil, Kumar, Manish, Parameswaran, A. J.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.02359

Abstract

Let H be a subgroup of \rm PGL(2,\mathbb C) (respectively, \rm SL(2,\mathbb C)) such that the Zariski closure in \rm PGL(2,\mathbb C) (respectively, \rm SL(2,\mathbb C)) of some compact subgroup of H contains H. We classify the H--equivariant holomorphic vector bundles on \mathbbCP¹. This generalizes \citeBM where H was assumed to be a finite abelian group.

Citations

• Equivariant vector bundles over the complex projective line

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