Abstract
It seems to the author that the theory of vector bundles of rank r over an abelian variety of dimension g is not sufficiently developed except for the two cases r = 1 and g = 1. The case r = 1 is the theory of theta functions and is one of the richest branches of mathematics. It is quite natural to try to explore vector bundles in the higher rank case as we did in the case r = 1.
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