Periods and Gauss-Manin connection for the Mumford curve y 2 r 2 y 1 r 1 - y 2 r 2 - y 1 r 1 + λ = 0

Lothar Gerritzen

Groupe de travail d'analyse ultramétrique (1986-1987)

  • Volume: 14, page 1-12

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Gerritzen, Lothar. "Periods and Gauss-Manin connection for the Mumford curve $y_2^{r_2} y_1 ^{r_1} - y_2 ^{r_2} - y_1 ^{r_1} + \lambda = 0$." Groupe de travail d'analyse ultramétrique 14 (1986-1987): 1-12. <http://eudml.org/doc/91967>.

@article{Gerritzen1986-1987,
author = {Gerritzen, Lothar},
journal = {Groupe de travail d'analyse ultramétrique},
language = {eng},
pages = {1-12},
publisher = {Secrétariat mathématique},
title = {Periods and Gauss-Manin connection for the Mumford curve $y_2^\{r_2\} y_1 ^\{r_1\} - y_2 ^\{r_2\} - y_1 ^\{r_1\} + \lambda = 0$},
url = {http://eudml.org/doc/91967},
volume = {14},
year = {1986-1987},
}

TY - JOUR
AU - Gerritzen, Lothar
TI - Periods and Gauss-Manin connection for the Mumford curve $y_2^{r_2} y_1 ^{r_1} - y_2 ^{r_2} - y_1 ^{r_1} + \lambda = 0$
JO - Groupe de travail d'analyse ultramétrique
PY - 1986-1987
PB - Secrétariat mathématique
VL - 14
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/91967
ER -

References

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  1. [D] Dwork, B.: Lectures on p-adic differential equations, Springer-VerlagNew York1982 Zbl0502.12021MR678093
  2. [F] Fricke, R.: Die elliptischen Funktionen und ihre Anwendungen, Leipzig-Berlin, Teubner1922 Zbl48.0432.01JFM48.0432.01
  3. [G1] Gerritzen, L.: Periods and Gauss-Manin connection for families of p-adic Schottky groups,Math. Ann.275, 425-453 (1986) Zbl0622.14018MR858288
  4. [G2] Gerritzen, L.: Integrale zweiter Gattung auf Mumfordkurven, Math. Ann.270, 381-392, (1985) Zbl0535.14016MR774363
  5. [GH] Gerritzen, L.- Herrlich, F.: Explicit formulas for periods of curves, in preparation 
  6. [GP] Gerritzen, L.- van der Put, M. : Schottky groups and Mumford curves, Lectures Notes in Math.817, Springer-Verlag (1980) Zbl0442.14009MR590243
  7. [M] Messing, W.: On the nilpotence of the hypergeometric equation, J. Math. Kyoto Univ.12 (1972), 369-383 Zbl0275.14002MR301011
  8. [MD] Manin, Yu.- Drinfeld, V.G.: Periods ofp-adic Schottky groups, J. reine angew. Math.262/263, 239-247 (1973) Zbl0275.14017MR396582
  9. [MOS] Magnus, W.- Oberhettinger, F.- Soni, R.P.: Formulas and Theorems for the Special Functions of Mathematical Physics, Springer-VerlagNew York1966 Zbl0143.08502MR232968
  10. [T] Tate, J.: Rigid Analytic Spaces, Invent. math.12, 257-289 (1971). Zbl0212.25601MR306196

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