Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms Academic Article

abstract

• We develop a theory of Tannakian Galois groups for t-motives and relate this to the theory of Frobenius semilinear difference equations. We show that the transcendence degree of the period matrix associated to a given t-motive is equal to the dimension of its Galois group. Using this result we prove that Carlitz logarithms of algebraic functions that are linearly independent over the rational function field are algebraically independent. 2007 Springer-Verlag.

authors

• Papanikolas, Matthew

published proceedings

• INVENTIONES MATHEMATICAE

author list (cited authors)

• Papanikolas, M. A.

citation count

• 53

complete list of authors

• Papanikolas, Matthew A

publication date

• January 2008

publisher

• Springer Nature  Publisher

published in

• Inventiones Mathematicae  Journal

keywords

• 49 Mathematical Sciences
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00222-007-0073-y

start page

• 123

end page

• 174

volume

• 171

issue

• 1

URL

• http://dx.doi.org/10.1007/s00222-007-0073-y