-algebras associated with curves and rational functions on . I
-algebras associated with curves and rational functions on . I
Abstract We consider the natural $A_{\infty }$ -structure on the $\mathrm{Ext}$ -algebra $\mathrm{Ext}^*(G,G)$ associated with the coherent sheaf $G=\mathcal{O}_C\oplus \mathcal{O}_{p_1}\oplus \cdots \oplus \mathcal{O}_{p_n}$ on a smooth projective curve $C$ , where $p_1,\ldots,p_n\in C$ are distinct points. We study the homotopy class of the product $m_3$ . Assuming that $h^0(p_1+\cdots +p_n)=1$ …