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- W3143138425 abstract "The absolute sets of local systems on a smooth complex algebraic variety are the subject of a conjecture of N. Budur and B. Wang based on an analogy with special subvarieties of Shimura varieties. An absolute set should be the higher-dimensional generalization of a local system of geometric origin. We show that the conjecture for absolute sets of simple cohomologically rigid local systems reduces to the zero-dimensional case, that is, to Simpson's conjecture that every such local system with quasi-unipotent monodromy at infinity and determinant is of geometric origin. In particular, the conjecture holds for this type of absolute sets if the variety is a curve or if the rank is two." @default.
- W3143138425 created "2021-04-13" @default.
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- W3143138425 date "2021-03-31" @default.
- W3143138425 modified "2023-09-23" @default.
- W3143138425 title "Absolute sets of rigid local systems" @default.
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- W3143138425 doi "https://doi.org/10.48550/arxiv.2104.00168" @default.
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