Essays about: "hilbert schemes"

Found 2 essays containing the words hilbert schemes.

  1. 1. Hilbert Polynomials of Projective Schemes

    University essay from KTH/Fysik

    Author : Hemming Ma; [2022]
    Keywords : Hilbert function; Hilbert Polynomial; Degree; Dimension; Arithmetic Genus;

    Abstract : We introduce localization and sheaves to define projective schemes, and in particular the projective n-space. Afterwards, we define closed subschemes of projective space and show that they arise from quotients of graded rings by homogeneous ideals. READ MORE

  3. 2. Introduction to Algebraic Geometry with a View Toward Hilbert Schemes

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Oliver Lindström; [2022]
    Keywords : Algebraic Geometry; Hilbert Schemes; Flat Morphisms; Representability;

    Abstract : In this bachelor’s thesis an introduction to the fundamentals of algebraic geometry is given. Some concepts in algebraic geometry are introduced such as Spec of a ring and Proj of a graded ring and several results related to these are either proven or stated. READ MORE