Explicit Coleman integration for hyperelliptic curves
Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman i...
| Hauptverfasser: | , , |
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| Format: | Journal article |
| Sprache: | English |
| Veröffentlicht: |
Springer
2010
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| Zusammenfassung: | Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman integrals on hyperelliptic curves, and its implementation in Sage. |
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