Sökning: "algebraic geometry"
Visar resultat 16 - 20 av 76 avhandlingar innehållade orden algebraic geometry.
16. 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
17. The space of Cohen-Macaulay curves
Sammanfattning : In this thesis we discuss a moduli space of projective curves with a map to a given projective space. The functor CM parametrizes curves, that is, Cohen-Macaulay schemes of pure dimension 1, together with a finite map to the projective space that is an isomorphism onto its image away from a finite set of closed points. LÄS MER
18. Computations in the Grothendieck Group of Stacks
Sammanfattning : Given an algebraic group, one may consider the class of its classifying stackin the Grothendieck group of stacks. This is an invariant studied byEkedahl. For certain connected groups, called the special groups bySerre and Grothendieck, the invariant simply gives the inverse of the class ofthe group itself. LÄS MER
19. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER
20. Hopf Invariants in Real and Rational Homotopy Theory
Sammanfattning : In this thesis we use the theory of algebraic operads to define a complete invariant of real and rational homotopy classes of maps of topological spaces and manifolds. More precisely let f,g : M -> N be two smooth maps between manifolds M and N. LÄS MER
