A generalised cross-ratio of four planes in projective n-space is shown to equal the augmented height pairing of the corresponding cycles, with its valuation governing intersection degree and degeneration asymptotics.
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A generalised cross-ratio and limits of local heights
A generalised cross-ratio of four planes in projective n-space is shown to equal the augmented height pairing of the corresponding cycles, with its valuation governing intersection degree and degeneration asymptotics.