5 papers
Genus three Ceresa cycles and limit of archimedean heights
Souvik Goswami, Irene Spelta
For a one-parameter variation of biextension mixed Hodge structures, Brosnan and Pearlstein showed that the limit of the asymptotic height of the variation is given by a certain li…
Arithmetic Cycles with Modulus
Souvik Goswami, Rahul Gupta
We add analytic components to algebraic cycles with modulus and define an arithmetic Chow group with modulus that resembles the classical arithmetic Chow groups by Gillet and Soulé…
Height Pairing on Higher Cycles and Mixed Hodge Structures
J. I. Burgos Gil, S. Goswami, G. Pearlstein
For a smooth, projective complex variety, we introduce several mixed Hodge structures associated to higher algebraic cycles. Most notably, we introduce a mixed Hodge structure for…
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…
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…