Search for dissertations about: "polynomial functor"
Found 5 swedish dissertations containing the words polynomial functor.
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1. The Theory of Polynomial Functors
Abstract : Polynomial functors were introduced by Professors Eilenberg and Mac Lane in 1954, who used them to study certain homology rings. Strict polynomial functors were invented by Professors Friedlander and Suslin in 1997, in order to develop the theory of group schemes. READ MORE
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2. Coherent functors and asymptotic properties
Abstract : 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. READ MORE
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3. Some computations of compact support cohomology of configuration spaces
Abstract : This licentiate thesis consists of two papers related to configuration spaces of points.In paper I a general formula for the Euler characteristic of configuration spaces on any topologically stratified space X is obtained in terms of geometric and combinatorial data about the strata. READ MORE
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4. Hilbert schemes and Rees algebras
Abstract : The topic of this thesis is algebraic geometry, which is the mathematical subject that connects polynomial equations with geometric objects. Modern algebraic geometry has extended this framework by replacing polynomials with elements from a general commutative ring, and studies the geometry of abstract algebra. READ MORE
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5. The space of Cohen–Macaulay curves and related topics
Abstract : The space of Cohen–Macaulay curves is a compactification of the space of curves that are embedded in a given projective space Pn. The idea is similar to that of the Hilbert scheme but instead of adding degenerated curves, one considers only curves without embedded or isolated points. READ MORE