The Eichler Trace of Zp Actions on Riemann Surfaces
Canadian journal of mathematics, Tome 50 (1998) no. 3, pp. 620-637

Voir la notice de l'article provenant de la source Cambridge University Press

We study ${{\mathbb{Z}}_{p}}$ actions on compact connected Riemann surfaces via their associated Eichler traces.We determine the set of possible Eichler traces and determine the relationship between 2 actions if they have the same trace.
DOI : 10.4153/CJM-1998-035-8
Mots-clés : 30F30, 57M60
The Eichler Trace of Zp Actions on Riemann Surfaces. Canadian journal of mathematics, Tome 50 (1998) no. 3, pp. 620-637. doi: 10.4153/CJM-1998-035-8
@misc{10_4153_CJM_1998_035_8,
     title = {The {Eichler} {Trace} of {Zp} {Actions} on {Riemann} {Surfaces}},
     journal = {Canadian journal of mathematics},
     pages = {620--637},
     year = {1998},
     volume = {50},
     number = {3},
     doi = {10.4153/CJM-1998-035-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-035-8/}
}
TY  - JOUR
TI  - The Eichler Trace of Zp Actions on Riemann Surfaces
JO  - Canadian journal of mathematics
PY  - 1998
SP  - 620
EP  - 637
VL  - 50
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-035-8/
DO  - 10.4153/CJM-1998-035-8
ID  - 10_4153_CJM_1998_035_8
ER  - 
%0 Journal Article
%T The Eichler Trace of Zp Actions on Riemann Surfaces
%J Canadian journal of mathematics
%D 1998
%P 620-637
%V 50
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-035-8/
%R 10.4153/CJM-1998-035-8
%F 10_4153_CJM_1998_035_8

[1] 1. Carlitz, and Olson, , Maillet's Determinant. Proc. Amer.Math. Soc. 6(1955), 265–269. Google Scholar

[2] 2. Eckmann, and Müeller, , Plane Motion Groups and Virtual Poincaré Duality in Dimension Two. Invent. Math. 69(1982), 293–310. Google Scholar

[3] 3. Edmonds, and Ewing, , Remarks on the cobordism group of Surface diffeomorphisms. Math. Ann. 259(1982), 497–504. Google Scholar

[4] 4. Edmonds, and Ewing, , Surface Symmetry and Homology. Math. Proc. Cambridge Philos. Soc. 99(1986), 73–77. Google Scholar

[5] 5. Ewing, , The Image of the Atiyah-Bott Map. Math. Z. 165(1979), 53-71. Google Scholar

[6] 6. Ewing, , Automorphisms of Surfaces and Class Numbers: An Illustration of the G-Index Theorem. In: Topological Topics, (ed., James, I.M.), London Math. Soc. Lecture Notes Serie. 86, Cambridge Univ. Press,1983, 120–127. Google Scholar

[7] 7. Farkas, and Kra, , Riemann Surfaces. Graduate Texts in Math. 71, Springer-Verlag, 1980. Google Scholar

[8] 8. Gabai, , Convergence Groups are Fuchsian. Ann. of Math. 136(1992), 447–510. Google Scholar

[9] 9. Kerckhoff, , The Nielsen Realization Problem. Ann. of Math. 117(1983), 235–265. Google Scholar

[10] 10. Lang, , Cyclotomic Fields I and II. Springer-Verlag, New York, 1990. Google Scholar

[11] 11. Nielsen, , Die Struktur periodischer Transformationen von Flächen. Mat.-Fys. Medd. Danske Vid. Selsk. 15(1937), 1–77. Google Scholar

[12] 12. Nielsen, , Abbildungsklassen endlicher Ordnung. Acta Math. 75(1942), 23–115. Google Scholar

[13] 13. Symonds, , The Cohomology Representation of an action of ℤ p on a surface. Trans. Amer. Math. Soc. 306(1988), 389–400. Google Scholar

Cité par Sources :