The Arithmetic of Fundamental Groups 2011
DOI: 10.1007/978-3-642-23905-2_1
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Heidelberg Lectures on Coleman Integration

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Cited by 10 publications
(6 citation statements)
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“…That is, one requires that 1 INTRODUCTION 2 the extended system satisfies all integrability conditions with respect to the principal and parametric variables. In this paper, we study such isomonodromic systems via the parameterized Picard-Vessiot (PPV) theory [8] and differential Tannakian categories [15,42,43,26,25,4].…”
Section: Introductionmentioning
confidence: 99%
“…That is, one requires that 1 INTRODUCTION 2 the extended system satisfies all integrability conditions with respect to the principal and parametric variables. In this paper, we study such isomonodromic systems via the parameterized Picard-Vessiot (PPV) theory [8] and differential Tannakian categories [15,42,43,26,25,4].…”
Section: Introductionmentioning
confidence: 99%
“…Also, we do not choose a basis of the space of derivations, allowing us to give a functorial description of the constructions involved. One reason that this generalization is needed was explained in [5], in the context of Coleman integration. The paper [55] considers the case of several derivations but chooses a basis in the space of derivations and uses a fiber functor to give the axioms of a differential Tannakian category.…”
mentioning
confidence: 99%
“…Coleman integration is a p-adic (line) integration theory developed by Robert Coleman in the 1980s [Col82,CdS88,Col85]. Here we briefly summarise the setup for this theory (for more precise details, see, for example, [Bes12]). We also recall the key inputs, which are obtained from Kedlaya's algorithm, for performing explicit Coleman integration on hyperelliptic curves, as described in [BBK10].…”
Section: Coleman Integrationmentioning
confidence: 99%