论文标题

连接期之间的二次关系

Quadratic relations between periods of connections

论文作者

Fresán, Javier, Sabbah, Claude, Yu, Jeng-Daw

论文摘要

我们证明,在“善良”的假设下,沿着分裂的杆子在复杂的歧管上,在复杂的歧管上与杆子上有二次关系的存在。在始终满足善良的维度中,我们提供了计算所涉及的各种配对的方法。在附录中,我们详细介绍了证明所需的经典结果。 V3:修订版,在第3节中简化了各种证明,展示改进了。

We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of "goodness". In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we give details on the classical results needed for the proofs. V3: Revised version, various proofs simplified in Section 3, exposition improved.

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