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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
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R35D8NW9F
  • License
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