摘要翻译:
本文研究了Gelfand-Kapranov-Zelevinsky引入的超几何函数,证明了它们的单自同构的特征值公式,该自同构是由沿平行于坐标轴的复直线中包含的大环的解析连续子定义的。我们将用一种多面紧致的方法来证明我们的主要定理。
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英文标题:
《Monodromy at infinity of $A$-hypergeometric functions and toric
compactifications》
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作者:
Kiyoshi Takeuchi
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最新提交年份:
2008
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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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一级分类:Mathematics 数学
二级分类:Analysis of PDEs 偏微分方程分析
分类描述:Existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE's, conservation laws, qualitative dynamics
存在唯一性,边界条件,线性和非线性算子,稳定性,孤子理论,可积偏微分方程,守恒律,定性动力学
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英文摘要:
We study $A$-hypergeometric functions introduced by Gelfand-Kapranov-Zelevinsky and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuaions along large loops contained in complex lines parallel to the coordinate axes. A method of toric compactifications will be used to prove our main theorem.
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PDF链接:
https://arxiv.org/pdf/0812.0652