Work

Anderson's double complex and gamma monomials for rational function fields

Year: 2001

Type: other

Abstract: We investigate algebraic Γ-monomials of Thakur's positive characteristic r-function, by using Anderson and Das' double complex method of computing the sign cohomology of the universal ordinary distribution. We prove that the Γ-monomial associated to an element of the second sign cohomology of the universal ordinary distribution of F q (T) generates a Kummer extension of some Carlitz cyclotomic function field, which is also a Galois extension of the base field F q (T). These results are characteristic-p analogues of those of Deligne on classical r-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.

Source: Publications of the UdS (Saarland University)

DOI: 10.22028/d291-26187

Authors: Bae, Sunghan, Gekeler, Ernst-Ulrich, Kang, Pyung-Lyun, Yin, Linsheng

Institutions: Korea Advanced Institute of Science and Technology, Saarland University, Chungnam National University, Tsinghua University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1995484698

Cites: 10

Cited by: 7

Related to: 10