An index theorem for $p$-adic differential operators
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- by A. Adolphson
- Trans. Amer. Math. Soc. 216 (1976), 279-293
- DOI: https://doi.org/10.1090/S0002-9947-1976-0387284-4
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Abstract:
A system of first order linear differential operators satisfying conditions arising naturally in geometry (rational function coefficients, regular singularities, non-Liouville exponents) is considered. It is shown that the index of the system on certain spaces of holomorphic functions can be calculated by restricting to a subspace of rational functions. This is applied to obtain an explicit formula for the index of a single kth order linear differential operator.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 216 (1976), 279-293
- MSC: Primary 14G99; Secondary 12B99, 34A30
- DOI: https://doi.org/10.1090/S0002-9947-1976-0387284-4
- MathSciNet review: 0387284