Balakrishnan, JenniferTuitman, Jan2020-05-192020-05-192020-01-13J. Balakrishnan, J. Tuitman. 2020. "Explicit Coleman integration for curves." https://arxiv.org/pdf/1710.01673.pdf0025-5718https://hdl.handle.net/2144/41033The Coleman integral is a p-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 [Tui16, Tui17] to compute the action of Frobenius on p-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.19 pagesen-USNumerical & computational mathematicsApplied mathematicsNumerical and computational mathematicsComputation theory and mathematicsArticle329959