On a noncommutative Iwasawa main conjecture for varieties over finite fields

Witte, Malte. "On a noncommutative Iwasawa main conjecture for varieties over finite fields." Journal of the European Mathematical Society 016.2 (2014): 289-325. <http://eudml.org/doc/277582>.

@article{Witte2014,
abstract = {We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for $\ell $-adic Lie extensions of a separated scheme $X$ of finite type over a finite field of characteristic prime to $\ell $.},
author = {Witte, Malte},
journal = {Journal of the European Mathematical Society},
keywords = {Iwasawa theory; $L$-functions; special values; varieties; étale cohomology; finite fields; Iwasawa non commutative main conjecture; $\ell $-adic Lie extensions; separated scheme; Iwasawa non commutative main conjecture; -adic Lie extensions; separated scheme},
language = {eng},
number = {2},
pages = {289-325},
publisher = {European Mathematical Society Publishing House},
title = {On a noncommutative Iwasawa main conjecture for varieties over finite fields},
url = {http://eudml.org/doc/277582},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Witte, Malte
TI - On a noncommutative Iwasawa main conjecture for varieties over finite fields
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 2
SP - 289
EP - 325
AB - We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for $\ell $-adic Lie extensions of a separated scheme $X$ of finite type over a finite field of characteristic prime to $\ell $.
LA - eng
KW - Iwasawa theory; $L$-functions; special values; varieties; étale cohomology; finite fields; Iwasawa non commutative main conjecture; $\ell $-adic Lie extensions; separated scheme; Iwasawa non commutative main conjecture; -adic Lie extensions; separated scheme
UR - http://eudml.org/doc/277582
ER -