$${{\varvec{A}}}_{\varvec{\infty }}$$A∞-algebras associated with elliptic curves and Eisenstein–Kronecker series
$${{\varvec{A}}}_{\varvec{\infty }}$$A∞-algebras associated with elliptic curves and Eisenstein–Kronecker series
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$${{varvec{A}}}_{varvec{infty }}$$A∞-与椭圆曲线和爱森斯坦-克罗内克级数相关的代数
DOI：
10.1007/s00029-017-0369-8
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
A. Polishchuk
中科院分区：
文献类型：
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作者：
A. Polishchuk
We compute the A-infinity structure on the self-Ext algebra of the vector bundleover an elliptic curve of the form, whereandare line bundles of degrees 0 and 1, respectively. The answer is given in terms of Eisenstein-Kronecker numbers. The A-infinity constraints lead to quadratic polynomial identities between these numbers, allowing to express them in terms of few ones. Another byproduct of the calculation is the new representation forby rapidly converging series.
