2002•arXiv (Cornell University)Open access

Moduli for Equivariant Vector Bundles of Rank Two on Smooth Toric\n Surfaces

Markus Perling

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Abstract

We give a complete classification of equivariant vector bundles of rank two\nover smooth complete toric surfaces and construct moduli spaces of such\nbundles. This note is a direct continuation of an earlier note where we\ndeveloped a general description of equivariant sheaves on toric varieties. Here\nwe give a first application of that description.\n

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We give a complete classification of equivariant vector bundles of rank two\nover smooth complete toric surfaces and construct moduli spaces of such\nbundles. This note is a direct continuation of an earlier note where we\ndeveloped a general description of equivariant sheaves on toric varieties. Here\nwe give a first application of that description.\n

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We give a complete classification of equivariant vector bundles of rank two\nover smooth complete toric surfaces and construct moduli spaces of such\nbundles. This note is a direct continuation of an earlier note where we\ndeveloped a general description of equivariant sheaves on toric varieties. Here\nwe give a first application of that description.\n

Key concepts: Vector bundle, Equivariant map, Rank (graph theory), Mathematics, Moduli space, Pure mathematics, Continuation, Toric variety

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