A functorial construction of moduli of sheaves |
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| Authors: | Luis Álvarez-Cónsul Alastair King |
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| Institution: | (1) Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 113 bis, 28006 Madrid, Spain;(2) Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK |
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| Abstract: | 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.
Dedicated to the memory of Joseph Le Potier. |
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