On p-adic height pairings

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Quadratic Chabauty and rational points, I: p-adic heights (2016, methodology): “Mixed extensions and Nekovář’s p-adic height function 12 5.”
Explicit Chabauty—Kim for the split Cartan modular curve of level 13 (2017, methodology): “ilar to (5), there is a local decomposition h(AZ(b,x)) = hp(AZ(b,x)) + X v6= p hv(AZ(b,x)), where now x→hp(AZ(b,x)) again extends to a locally analytic function θ: X(Qp) →Qp by Nekovář’s construction [Nek93], and for v6= pthe local heights hv(AZ(b,x)) take on a ﬁnite set of values Υ for 6 JENNIFER S”
Syntomic cohomology and p-adic regulators for varieties over p-adic fields (2013, background): “Our main references are [28], [29], [19], [14], [31], [46].”
Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties (2017, methodology): “2 Bilinear structure used Coleman–Gross p-adic height [18] Nekovář p-adic height [43] on Mf,T0(GK,T ;Qp, V,Qp(1)) Generalised height functions (§3) on Mf,T0(GK,T ;Qp, V,W ), inspired by Nekovář Local computation hv(z −∞, z −∞) hv(z − b,D(b, z)) hv(A(b, z))”