A functorial construction of moduli of sheaves
By Luis Álvarez-Cónsul, A. King. 2006
54 citations recorded by the source corpus.
We show how natural functors from the category of coherent sheaves on a projective scheme to categories of Kronecker modules can be used to construct moduli spaces of semistable sheaves. This construction simplifies or clarifies technical aspects of existing constructions and yields new simpler definitions of theta functions, about which more complete results can be proved.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/759e9ec0e2862b3889de0dc54fcc0874f957dc99
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Indecomposable vector bundles and stable Higgs bundles over smooth projective curves (2014, methodology): “ Higgsr,d(X)parametrizing Higgs bundles (F,θ) with F of class αstrongly generated by L1. In particular, by condition a) the stack [µ−1(0)/G] contains Higgsst r,d(X) as an open substack. 6.5.Following [ACK1] we now embed Q◦,◦ L1,L2 as a locally closed subvariety of the representation variety of an ap”