Abstract
Let L be an abelian function field of two variables over C, and K be a Galois subfield of L, i.e., L is a finite algebraic Galois extension of K. We classify such K by a suitable complex representation of the Galois group G = Gal (L/K). Let A be the abelian surface with the function field L. Since g e G induces an automorphism of A, we have a complex representation gz = M(g)z + t(g where M(g) e GL2(C), z e C , and t(g) e C. Fixing the representation, we put G0 = {g eG\M(g) is the unit matrix}, H = {M(g)\g e G} and H1 = {M(g)e H\det M(g) = 1}. Then we have the following exact sequences of groups:
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Publications of the Research Institute for Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
