A-infinity algebra of an elliptic curve and Eisenstein series

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, 3 figures; v3: added remark on the limit at the cusp

Scientific paper

We compute explicitly the A-infinity structure on the Ext-algebra of the
collection $({\mathcal O}_C, L)$, where $L$ is a line bundle of degree 1 on an
elliptic curve $C$. The answer involves higher derivatives of Eisenstein
series.

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