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arXiv math/9912198math.QAmath.AG
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亏格为\geq 1的KZB方程的解

Solutions of the KZB equations in genus \geq 1

B. Enriquez, G. Felder

摘要:

我们介绍一个扁平版本的KZB连接。这种联络定义在亏格为$g$的带标记点的复曲线的模空间上的Weierstrass点的轨迹的补上。然后,我们给出了积分公式的平坦部分,这种连接,使用参数化的保形块和KZB连接,我们以前的论文数学/9807145。

英文摘要:

We introduce a flat version of the KZB connection. This connection is defined on the complement of the locus of Weierstrass points on the moduli space of genus $g$ complex curves with marked points. We then give integral formulas for flat sections of this connection, using the parametrization of conformal blocks and of the KZB connection of our earlier paper math/9807145.

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