Local universal lifting spaces of mod l Galois representations

Let p and l be distinct primes, K a finite extension of Q(p), and (rho) over bar : Gal((K) over bar /K)-> GL(n),((F) over barl) a mod l Galois representation. In this paper, we show that the generic fiber of universal lifting space of (rho) over bar is equidimensional of dimension n(2). We also characterize the irreducible components of the generic fiber of the universal lifting space which represent the liftings rho's of (rho) over bar with unipotent rho vertical bar I-K's, when pi', is trivial or n <= 4 and the square of the order of the residue field of K is not equal to 1 mod l. (C) 2017 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2017-07
Language
English
Keywords

L-ADIC LIFTS; AUTOMORPHY

Citation

JOURNAL OF NUMBER THEORY, v.176, pp.113 - 148

ISSN
0022-314X
DOI
10.1016/j.jnt.2016.12.006
URI
http://hdl.handle.net/10203/223404
Appears in Collection
MA-Journal Papers(저널논문)
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