Moduli for equivariant vector bundles of rank two on smooth toric surfaces | Zendy

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Moduli for equivariant vector bundles of rank two on smooth toric surfaces

Author(s) -

Perling Markus

Publication year - 2004

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310137

Subject(s) - vector bundle , equivariant map , mathematics , moduli space , rank (graph theory) , pure mathematics , continuation , moduli , toric variety , algebra over a field , combinatorics , computer science , physics , quantum mechanics , programming language

We give a complete classification of equivariant vector bundles of rank two over smooth complete toric surfaces and construct moduli spaces of such bundles. This note is a direct continuation of an earlier note where we developed a general description of equivariant sheaves on toric varieties. Here we give a first application of that description. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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