搜索结果: 1-15 共查到“理学 Galois”相关记录45条 . 查询时间(0.125 秒)
绝对不可约Galois表示的Kisin簇的连通性
绝对不可约 Galois表示 Kisin簇 连通性
2023/1/5
We consider the Kisin variety associated to a $n$-dimensional absolutely irreducible mod $p$ Galois representation $\bar\rho$ of a $p$-adic field $K$ and a cocharacter $\mu$. Kisin conjectured that th...
ELLIPTIC CURVES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
ELLIPTIC CURVES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...
DRINFELD MODULES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
DRINFELD MODULES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
We show that the simple group PSL2(Fp) occurs as the Galois group of an extensionof the rationals for all primes p ≥ 5. We obtain our Galois extensions by studying the Galois action on the second étal...
AN EXPLICIT JACOBIAN OF DIMENSION 3 WITH MAXIMAL GALOIS ACTION
EXPLICIT JACOBIAN DIMENSION 3 MAXIMAL GALOIS ACTION
2015/8/26
We gives an explicit genus 3 curve over Q such that the Galois action on the torsion points of its Jacobian is a large as possible. That such curves exist is a consequence of a theorem of D. Zureick-B...
MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
POSSIBLE INDICES FOR THE GALOIS IMAGE OF ELLIPTIC CURVES OVER
GALOIS IMAGE ELLIPTIC CURVES OVER
2015/8/26
POSSIBLE INDICES FOR THE GALOIS IMAGE OF ELLIPTIC CURVES OVER.
We prove many new cases of the Inverse Galois Problem for those simple groups arising fromorthogonal groups over finite fields. For example, we show that the finite simple groups Ω2n+1(p) and P&...
GALOIS CONNECTIONS FOR INCIDENCE HOPF ALGEBRAS OF PARTIALLY ORDERED SETS.
Incidence Hopf algebras Galois connections
2015/8/14
An important well-known result of Rota describes the relationship between the M¨obius
functions of two posets related by a Galois connection. We present an analogous result relating
the antipodes of...
MODULARITY OF CERTAIN POTENTIALLY BARSOTTI-TATE GALOIS REPRESENTATIONS
CERTAIN POTENTIALLY REPRESENTATIONS
2015/7/6
where is the reduction of . These results were subject to hypotheses on the local
behavior of at `, i.e., the restriction of to a decomposition group at `, and to
irreducibility hypotheses on...
GALOIS THEORY OF ITERATED MORPHISMS ON REDUCIBLE ELLIPTIC CURVES AND ABELIAN SURFACES WITH REAL MULTIPLICATION
Kummer map elliptic curves abelian surfaces with real multiplication
2014/12/8
Let $F$ be a number field and let $A$ be an abelian algebraic group defined over $F$. For a prime $\ell$ and a point $\alpha \in A(F)$, we obtain the tower of extensions $F([\ell^n]^{-1}(\alpha))$ by ...
Galois环上极大周期序列的平移等价
Galois 环 极大周期序列 平移等价
2013/10/17
本文给出了Galois环上两个具有相同特征多项式的极大周期序列是否平移等价的一个判定方法,以及在两个序列平移等价的情况下,利用模p方幂提升技术,给出了一个计算它们的平移距离的方法.
Random Galois extensions of Hilbertian fields
Random Galois extensions Hilbertian fields Number Theory
2012/6/21
Let L be a Galois extension of a countable Hilbertian field K. Although L need not be Hilbertian, we prove that an abundance of large Galois subextensions of L/K are.
On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields
Surjectivity Galois Representations Elliptic Curves over Number Fields Number Theory
2012/4/17
Given an elliptic curve $E$ over a number field $K$, the $\ell$-torsion points $E[\ell]$ of $E$ define a Galois representation $\gal(\bar{K}/K) \to \gl_2(\ff_\ell)$. A famous theorem of Serre states t...
On the automorphy of $l$-adic Galois representations with small residual image
small residual image Galois representations Number Theory
2011/9/23
Abstract: We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, ...