Browsing Mathematics electronic theses and dissertations (MU) by Thesis Semester "2021 Summer"

Now showing items 1-2 of 2

  • M-adic perturbations in Noetherian local rings 

    Cox-Steib, Nicholas O. (University of Missouri--Columbia, 2021)
    The purpose of this thesis is to develop methods for the study m-adic stability in an arbitrary Noetherian local ring. A key role is played by the Artin-Rees lemma. Using these techniques we establish new results about the ...

  • Volumes of line bundles on schemes 

    Nunez, Roberto (University of Missouri--Columbia, 2021)
    The volume of a line bundle is an invariant defined in terms of a limit superior. It is a fundamental question whether this limit superior is a limit. It has been shown that this is always the case on generically reduced ...