Journal of Algebraic Geometry

Author(s): David E. Rohrlich
Journal: J. Algebraic Geom. 17 (2008), 643-675.
Posted: February 7, 2008
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Abstract: Explicit formulas and asymptotic estimates are derived for twisted root numbers of elliptic curves in division towers. The key assumption on the elliptic curves considered is that the image of the Galois representation afforded by the first layer of the division tower is contained in a Borel subgroup. In [Math. Research Letters 13 (2006), 359-376], by contrast, the Galois representation was assumed to be surjective.

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David E. Rohrlich
Affiliation: Department of Mathematics and Statistics, Boston University, Boston, Massachusetts 02215
Email: rohrlich@math.bu.edu

PII: S 1056-3911(08)00462-1
Received by editor(s): July 4, 2006
Posted: February 7, 2008

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