Search for dissertations about: "Algebra och geometri"
Showing result 16 - 20 of 77 swedish dissertations containing the words Algebra och geometri.
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16. The space of Cohen-Macaulay curves
Abstract : 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. READ MORE
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17. 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
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18. Isomorphism classes of abelian varieties over finite fields
Abstract : Deligne and Howe described polarized abelian varieties over finite fields in terms of finitely generated free Z-modules satisfying a list of easy to state axioms. In this thesis we address the problem of developing an effective algorithm to compute isomorphism classes of (principally) polarized abelian varieties over a finite field, together with their automorphism groups. READ MORE
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19. The Ext-algebra of standard modules over dual extension algebras
Abstract : .... READ MORE
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20. Multipoint Okounkov bodies
Abstract : During the nineties, the field medallist Okounkov found a way to associate to an ample line bundle L over an n−complex dimensional projective manifold X a convex body in Rn, now called Okounkov body ∆(L). The construction depends on the choice of a valuation centered at one point p∈X and it works even if L is a big line bundle. READ MORE
