Browse Dissertations and Theses - Mathematics by Contributor "Dutta, Sankar"

  • Li, Jinjia (2006)
    In this thesis, we are primarily concerned with problems related to intersection multiplicity originally introduced by Serre. The characteristic p techniques, especially, the use of the Frobenius functor due to Kunz, ...

    application/pdf

    application/pdfPDF (1MB)Restricted to U of Illinois
  • Snapp, Bart (2007)
    Generalized local cohomology is used to study the Canonical Element Conjecture. Among other things, we prove special cases of a more general theorem that hold irrespective of the validity of the Canonical Element Conjecture.

    application/pdf

    application/pdfPDF (1MB)Restricted to U of Illinois
  • DiPasquale, Michael Robert (2015-05-14)
    This thesis concerns the algebra $C^r(\PC)$ of $C^r$ piecewise polynomial functions (splines) over a subdivision by convex polytopes $\PC$ of a domain $\Omega\subset\R^n$. Interest in this algebra arises in a wide variety ...

    application/pdf

    application/pdfPDF (8MB)