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math.AG2017
Higher Arithmetic Intersection Theory
José Ignacio Burgos-Gil, Souvik Goswami
We give a new definition of higher arithmetic Chow groups for smooth projective varieties defined over a number field, which is similar to Gillet and Soulé's definition of arithmet…
math.AG2017
The Business of Height Pairings
Souvik Goswami, James Lewis
In algebraic geometry there is the notion of a height pairing of algebraic cycles, which lies at the confluence of arithmetic, Hodge theory and topology. After explaining a motivat…