Specialization of cycles and the K-theory elevator

  • P. R. Luis del Angel
  • , C. Doran
  • , M. Kerr
  • , J. Lewis
  • , J. Iyer
  • , S. Müller-Stach
  • , D. Patel

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus-2 curve.

Original languageEnglish
Pages (from-to)299-349
Number of pages51
JournalCommunications in Number Theory and Physics
Volume13
Issue number2
DOIs
StatePublished - 2019

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