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Kolyvagin systems of Stark units
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Kâzim Büyükboduk
Published/Copyright:
March 31, 2009
Abstract
In this paper we construct, using Stark elements of Rubin [Ann. Inst. Fourier 46: 33–62, 1996], Kolyvagin systems for certain modified Selmer structures (that are adjusted to have core rank one in the sense of [Mazur and Rubin, Mem. Amer. Math. Soc. 168: viii, 96, 2004]) and prove a Gras-type conjecture, relating these Kolyvagin systems to appropriate ideal class groups, refining the results of [Rubin, J. reine angew. Math. 425: 141–154, 1992] (in a sense we explain below), and of [Perrin-Riou, Ann. Inst. Fourier 48: 1231–1307, 1998], [Rubin, Euler systems, Princeton University Press, 2000] applied to our setting.
Received: 2007-03-14
Revised: 2008-02-11
Published Online: 2009-03-31
Published in Print: 2009-June
© Walter de Gruyter Berlin · New York 2009
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- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two
Articles in the same Issue
- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two
