论文标题
全球mod $ p $ galois表示的三角升降机
Trianguline lifts of global mod $p$ Galois representations
论文作者
论文摘要
我们表明，在适当的奇数条件下，任意数字字段的绝对Galois组的不可约的mod $ p $表示具有特征性的零升降机，这些升降机在所有$ f $ divinding $ p $的所有素质上都没有有限的素数和三角形。我们还证明了在连接的还原组中有价值的表示形式的变体。
We show that under a suitable oddness condition, irreducible mod $p$ representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which are unramified outside a finite set of primes and trianguline at all primes of $F$ dividing $p$. We also prove variants of this result for representations valued in connected reductive groups.
