Invariants Associated to K-theoretic Methods and Complexity of Algebraic Cycle Groups

  • Author / Creator
    Abdelgalil, Karem
  • The Hodge conjecture can be formulated in terms of Algebraic Cycles Groups. That is, Hodge conjecture state that every Hodge class on X is algebraic. This tells us that is worthwhile to explore the complexity of the Algebraic Cycle Groups. On the other hand, it turns out that we can study algebraic Cycles from the point of view of K-theory and vice versa. The aim of thesis is to explore the complexity of Algebraic cycle groups and K-theoretic invariants and to build bridges between K-theory and Algebraic cycles. We will use the methods developed to capture arithmetic invariants.

  • Subjects / Keywords
  • Graduation date
    Fall 2018
  • Type of Item
  • Degree
    Master of Science
  • DOI
  • License
    Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.