Filtrations on higher Chow groups and arithmetic normal functions

• Author / Creator

  Hernandez Castillo, Jose Jaime

• We first recall the filtration on the higher Chow group of a complex smooth projective variety X as done by J. Lewis, and separately by M. Saito / M. Asakura and explain the various invariants (Mumford-Griffiths and de Rham), as well as the notion of arithmetic normal functions due to M. Kerr and J. Lewis. As in the case of Griffiths' use of normal functions to detect interesting cycles, we do the same thing for the higher Chow groups.

• Graduation date

  Spring 2012

• Type of Item

  Thesis

• Degree

  Doctor of Philosophy

• DOI

  https://doi.org/10.7939/R30407

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.