Sökning: "Chow scheme"

Hittade 2 avhandlingar innehållade orden Chow scheme.

  1. 1. Families of cycles and the Chow scheme

    Detta är en avhandling från Stockholm : KTH

    Författare :David Rydh; KTH.; [2008]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Families of cycles; Chow scheme; Hilbert scheme; zero-cycles; divided powers; symmetric tensors; symmetric product; Weil restriction; norm functor; MATHEMATICS Algebra; geometry and mathematical analysis Algebra and geometry; MATEMATIK Algebra; geometri och analys Algebra och geometri;

    Sammanfattning : The objects studied in this thesis are families of cycles on schemes. A space — the Chow variety — parameterizing effective equidimensional cycles was constructed by Chow and van der Waerden in the first half of the twentieth century. Even though cycles are simple objects, the Chow variety is a rather intractable object. LÄS MER

  2. 2. Moduli spaces of zero-dimensional geometric objects

    Detta är en avhandling från Stockholm : KTH

    Författare :Christian Lundkvist; KTH.; [2009]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Commutative algebra; Moduli spaces; MATHEMATICS Algebra; geometry and mathematical analysis Algebra and geometry; MATEMATIK Algebra; geometri och analys Algebra och geometri;

    Sammanfattning : The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the Hilbert scheme Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. LÄS MER