Sökning: "ring schemes"
Visar resultat 1 - 5 av 18 avhandlingar innehållade orden ring schemes.
1. Classification of plethories in characteristic zero
Sammanfattning : We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. All plethories over characteristic zero fields are linear, in the sense that they are free plethories on a bialgebra. LÄS MER
2. Hilbert schemes and Rees algebras
Sammanfattning : 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. LÄS MER
3. Abelian affine group schemes, plethories, and arithmetic topology
Sammanfattning : In Paper A we classify plethories over a field of characteristic zero. All plethories over characteristic zero fields are ``linear", in the sense that they are free plethories on a bialgebra. For the proof of this classification we need some facts from the theory of ring schemes where we extend previously known results. LÄS MER
4. Nonlinear Optics Studies on the MAX IV Storage Rings
Sammanfattning : The MAX IV Laboratory in Lund, Sweden, houses two electron storage rings operating at the energies 1.5, and 3 GeV. Both of these produce high-brilliance synchrotron radiation for beamline users. While the 1. LÄS MER
5. The Theory of Polynomial Functors
Sammanfattning : 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. LÄS MER
