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On the Cohomology Classes of Certain Eisenstein-Kronecker Forms

Zhixuan Sheng, Jie Zhou

Source record

Source: arXiv

Published: Oct 9, 2026

arXiv: 2610.13581

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Source abstract

We study the de Rham cohomology and Deligne splitting for a class of Eisenstein-Kronecker forms by introducing a modular weight grading. As an application, we compute a particular cohomology class that gives rise to generating series of Gromov-Witten invariants of elliptic curves.

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On the Cohomology Classes of Certain Eisenstein-Kronecker Forms — Mathematical Frontier Network