Abstract
Fix an integer m>1 and let k be a number field embedded in ℂ containing the m-th roots of unity. Let X be a smooth, projective, geometrical1y connected curve over k such that Aut(X/k) contains a cyclic subgroup G of order m. The symbols m, k, X and G have this fixed meaning throughout the talk.
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References
G. Anderson, to appear.
B.H. Gross (Appendix by D. Rohrlich). “On the Periods of Abelian Integrals and a Formula of Chowia and Selberg, ” Inv. Math. 45 (1978), 193-211.
A. Weil. Basic Number Theory, Third Ed., Springer-Verlag, Berlin, 1874.
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Anderson, G. (1982). An Archimedean Analogue of the Root Number. In: Koblitz, N. (eds) Number Theory Related to Fermat’s Last Theorem. Progress in Mathematics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6699-5_8
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DOI: https://doi.org/10.1007/978-1-4899-6699-5_8
Publisher Name: Birkhäuser, Boston, MA
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