3 papers
math.AG2026
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…
math.AG2025
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…
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…