NDLI: Independence of -adic Galois representations over function fields

Content Provider	Scilit
Author	Gajda, Wojciech Petersen, Sebastian
Copyright Year	2013
Description	Journal: Compositio Mathematica Let $K$ be a finitely generated extension of $\mathbb {Q}$ . We consider the family of $\ell $ -adic representations ( $\ell $ varies through the set of all prime numbers) of the absolute Galois group of $K$ , attached to $\ell $ -adic cohomology of a separated scheme of finite type over $K$ . We prove that the fields cut out from the algebraic closure of $K$ by the kernels of the representations of the family are linearly disjoint over a finite extension of K. This gives a positive answer to a question of Serre.
Ending Page	1107
Starting Page	1091
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x12000711
Journal	Compositio Mathematica
Issue Number	7
Volume Number	149
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2013-07-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Prime Number Galois Representation Representation Theory Algebraic Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Independence of -adic Galois representations over function fields