Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves

Yifeng Liu

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arXiv · 2605.01646

Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves

Yifeng Liu

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Abstract

We prove an averaging formula for the canonical archimedean height pairing of special divisors with weights over orthogonal and unitary Shimura curves in terms of derivatives of Whittaker functions.

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Yifeng Liu. 2026-05-03. Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves. https://arxiv.org/abs/2605.01646

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