Moduli of toric vector bundles
By Sam Payne. Compositio Mathematica, 2007
65 citations recorded by the source corpus.
Abstract We give a presentation of the moduli stack of toric vector bundles with fixed equivariant total Chern class as a quotient of a fine moduli scheme of framed bundles by a linear group action. This fine moduli scheme is described explicitly as a locally closed subscheme of a product of partial flag varieties cut out by combinatorially specified rank conditions. We use this description to show that the moduli of rank three toric vector bundles satisfy Murphy’s law, in the sense of Vakil. The preliminary sections of the paper give a self-contained introduction to Klyachko’s classification of toric vector bundles.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/5e91f0cb2d87d677f1347d514368e64bb21cde8e
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Fixed point loci of moduli spaces of sheaves on toric varieties (2008, background): “A systematic construction of the moduli spaces of equivariant vector bundles on toric varieties has been given by Payne [Pay].”