Journal title
International Mathematics Research Notices
Last updated
2020-09-25T08:36:34.79+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
On
Publication type
Journal Article