Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves
We give a formula for the component at p of the p-adic height pairing of a divisor of degree 0 on a hyperelliptic curve. We use this to give a Chabauty-like method for finding p-adic approximations to p-integral points on such curves when the Mordell-Weil rank of the Jacobian equals the genus. In th...
Κύριοι συγγραφείς: | Balakrishnan, J, Besser, A, Müller, J |
---|---|
Μορφή: | Journal article |
Έκδοση: |
2013
|
Παρόμοια τεκμήρια
Παρόμοια τεκμήρια
-
Quadratic Chabauty and rational points, I: p-adic heights
ανά: Balakrishnan, J, κ.ά.
Έκδοση: (2018) -
Computing local p-adic height pairings on hyperelliptic curves
ανά: Balakrishnan, J, κ.ά.
Έκδοση: (2010) -
Quadratic Chabauty and rational points II: generalised height functions on Selmer varieties
ανά: Balakrishnan, J, κ.ά.
Έκδοση: (2020) -
Pairings on hyperelliptic curves
ανά: Balakrishnan, J, κ.ά.
Έκδοση: (2009) -
Coleman-Gross height pairings and the $p$-adic sigma function
ανά: Balakrishnan, J, κ.ά.
Έκδοση: (2012)