Please use this identifier to cite or link to this item:
doi:10.22028/D291-26187
Title: | Anderson's double complex and gamma monomials for rational function fields |
Author(s): | Bae, Sunghan Gekeler, Ernst-Ulrich Kang, Pyung-Lyun Yin, Linsheng |
Language: | English |
Year of Publication: | 2001 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We investigate algebraic \Gamma-monomials of Thakur's positive characteristic \Gamma-function, by using Anderson-Das double complex method of computing the sign-cohomology of the universal ordinary distribution. We prove that the \Gamma-monomial associated to an element of the second sign-cohomology of the universal ordinary distribution of \mathbb{F}_{q}(T) generates a Kummer extension of the Carlitz cyclotomic function field, which is also a Galois extension of the base field \mathbb{F}_{q}(T). These results are characteristic-p analogues of those of Deligne on classical \Gamma-monomials, proofs of which were given by Das using the double complex method. In this paper, we also obtain some results on e-monomials of Carlitz's exponential function. |
Link to this record: | urn:nbn:de:bsz:291-scidok-43363 hdl:20.500.11880/26243 http://dx.doi.org/10.22028/D291-26187 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 28 |
Date of registration: | 22-Nov-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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