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

2015/11/05 by Toshiya Seiriki, Seiriki, Toshiya
Mathematics · #11R60 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1511.01766

openalex publication_date 2015/11/05 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

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

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