Explicit Coleman integration for curves
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Publication:5118859
DOI10.1090/MCOM/3542zbMATH Open1460.30015arXiv1710.01673OpenAlexW3013422507MaRDI QIDQ5118859
Author name not available (Why is that?)
Publication date: 27 August 2020
Published in: (Search for Journal in Brave)
Abstract: The Coleman integral is a -adic line integral that plays a key role in computing several important invariants in arithmetic geometry. We give an algorithm for explicit Coleman integration on curves, using the algorithms of the second author to compute the action of Frobenius on -adic cohomology. We present a collection of examples computed with our implementation. This includes integrals on a genus 55 curve, where other methods do not currently seem practical.
Full work available at URL: https://arxiv.org/abs/1710.01673
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