Quadratic Chabauty and rational points II: generalised height functions on Selmer varieties

Author: 

Dogra, N
Balakrishnan, J

Journal: 

International Mathematics Research Notices

Last Updated: 

2020-06-08T12:06:05.1+01:00

abstract: 

We give new instances where Chabauty–Kim sets can be proved to be finite, by developing a notion of “generalised height functions” on Selmer varieties. We also explain how to compute these generalised heights in terms of iterated integrals and give the 1st explicit nonabelian Chabauty result for a curve X/Q whose Jacobian has Mordell–Weil rank larger than its genus.

Symplectic id: 

1076479

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article