Generalizations of the Height Pairing

Student: Krekov Dmitrii

Supervisor: Sergey Gorchinskiy

Educational Programme: Mathematics (Master)

Final Grade: 9

Year of Graduation: 2020

Motivated by the works of Bloch and Beilinson on the height pairing on algebraic cycles and by conjectures of Bloch——Beilinson on the motivic filtration on Chow groups as well as by work of Goswami we introduce under some natural assumptions certain subgroups of Chow groups of certain varieties. We construct a bilinear pairing between these subgroups which naturally extends height pairing and intersection pairing. We also investigate some properties of these subgroups in particular we show their functoriality with respect to certain class of correspondences.

Full text (added May 29, 2020)

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