Constant Terms of Coleman Power Series And Euler Systems in Function Field

Toshiya Seiriki

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arXiv · 1511.01766

Constant Terms of Coleman Power Series And Euler Systems in Function Field

Toshiya Seiriki

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Abstract

We calculate the constant term of Coleman power series and use it to prove an analogue of Iwasawa Main Conjecture in function fields of characteristic p>0 using Euler systems. This result is proved by a similar method of classical proof of Iwasawa Main Conjecture, go back to Kolyvagin and Rubin. We construct Euler systems from theta function of Drinfeld modules and establish finite-singular comparison equation even when p is not invertible the coefficients.

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Toshiya Seiriki. 2017-11-17. Constant Terms of Coleman Power Series And Euler Systems in Function Field. https://arxiv.org/abs/1511.01766

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