摘要翻译:
设f,g是从光滑仿射复变U到仿射线的两个代数独立的正则函数。在仿射线上关联的指数Gauss-Manin系统定义为指数微分系统$\Mathcal{O}_ue^g$关于f的直象的上同调束。我们证明了它的全纯解在拓扑链上具有可能闭支集和快速衰变条件的周期积分表示。
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英文标题:
《Integral representations for solutions of exponential Gauss-Manin
systems》
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作者:
Marco Hien, Celine Roucairol
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
Let f,g be two algebraically independent regular functions from the smooth affine complex variety U to the affine line. The associated exponential Gauss-Manin systems on the affine line are defined to be the cohomology sheaves of the direct image of the exponential differential system $\mathcal{O}_U e^g $ with respect to f. We prove that its holomorphic solutions admit representations in terms of period integrals over topological chains with possibly closed support and with rapid decay condition.
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PDF链接:
https://arxiv.org/pdf/0704.1739