期刊
MATHEMATISCHE ANNALEN
卷 353, 期 4, 页码 1239-1271出版社
SPRINGER
DOI: 10.1007/s00208-011-0717-5
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资金
- JSPS [17340049, 21340038]
- Grants-in-Aid for Scientific Research [17340049, 21340038] Funding Source: KAKEN
Using the analytic realization of middle convolution due to Dettweiler and Reiter, we show that any rigid Fuchsian system can be obtained as a subsystem of some generating system which has an integral representation of solutions of Selberg type. Twisted homology groups and twisted cohomology groups associated with such integrals are studied. In particular, contiguity relations and twisted cycles which realize local exponents are obtained.
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