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Coherent functors and asymptotic properties
In this thesis we study properties of the so called coherent functors. Coherent functors were first introduced by Auslander in 1966 in a general setting. Coherent functors have been used since then as powerful tools for different purposes: to describe infinitesimal deformation theory, to describe algebraicity of a stack or to study properties of Rees algebras. In 1998, Hartshorne proved that half exact coherent functors over a discrete valuation ring ?? are direct sums of the identity functor, Hom-functors of quotient modules of ?? and tensor products of quotient modules of ??. In our first article (Paper A), we obtain a similar characterization for half exact coherent functors over a much w...
Dr. Adson
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Proceedings
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