\(p\)-adic abelian integrals and commutative Lie groups

DOI10.1007/BF02362339zbMath0884.14020arXivalg-geom/9603006OpenAlexW2088184047WikidataQ115392430 ScholiaQ115392430MaRDI QIDQ1817433

Yuri G. Zarhin

Publication date: 14 January 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9603006

zbMATH Keywords

Lie groups\(p\)-adic abelian integralscommutative algebraic group over a complete local fieldlogarithm map

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

Related Items (8)

\(p\)-adic heights and Vologodsky integration ⋮ Explicit Vologodsky integration for hyperelliptic curves ⋮ Height pairings of 1-motives ⋮ Vologodsky integration on curves with semi-stable reduction ⋮ A note on transcendence over \(p\)-adic fields ⋮ The Frobenius and monodromy operators for curves and abelian varieties ⋮ The \(p\)-adic analytic subgroup theorem revisited ⋮ ELLIPTIC CURVES AND -ADIC ELLIPTIC TRANSCENDENCE

Cites Work

• Torsion points on curves and p-adic abelian integrals
• Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
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