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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)