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Eisenstein-Kronecker series via the Poincaré bundle
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Paper
Eisenstein-Kronecker series via the Poincaré bundle
2019
Overview
A classical construction of Katz gives a purely algebraic construction of Eisenstein--Kronecker series using the Gau\\ss--Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and \\(p\\)-adic properties of real-analytic Eisenstein series. In the first part of this paper we provide an alternative algebraic construction of Eisenstein--Kronecker series via the Poincaré bundle. Building on this, we give in the second part a new conceptional construction of Katz' two-variable \\(p\\)-adic Eisenstein measure through \\(p\\)-adic theta functions of the Poincaré bundle.
Publisher
Cornell University Library, arXiv.org
Subject
