논문KCI 등재
On the Calculation of the Number of Galois Orbits
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초록
Let $A$ be an abelian variety over a global field $K$.
Abstract
Let $A$ be an abelian variety over a global field $K$.
참고문헌 (8)
- K. Arai, "On uniform lower bound of the Galois image associated to elliptic curves", J. Theor. Nombres Bordeaux, 20, pp.23~43 (2008)
- A. Cadoret, "A uniform open image theorem for ℓ-adic representa-tions II", Duke Math. J, 162, pp.2301~2344 (2013)
- Y. J. Chen, "On the distribution of torsion points modulo primes", Bull. Aust. Math. Soc, 86, pp.339~347 (2012)
- H. Huang, "The average number of torsion points on elliptic curves", J. Number Theory, 135, pp.374~389 (2014)
- B. Mazur, "Rational points on modular curves, Modular functions of one variable V", Lecture Notes in Math., 601, pp.107~148 (1977), Springer
- H. Moon, "On the invariant M(A=K, n) of Chen-Kuan for Galois representations", Proc. Japan Acad, 90, pp.98~100 (2014)
- 문현숙, "On the Invariant of Chen-Kuan for Abelian Varieties", Kyungpook Mathematical Journal, 56(3), pp.755~761 (2016), 경북대학교 자연과학대학 수학과
- J.-P. Serre, "Abelian ℓ-adic representations and elliptic curves, Lecture at McGill Uni-versity" (1968), W. A. Benjamin Inc.
관련 논문AI추천
On the Invariant of Chen-Kuan for Abelian Varieties문현숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic FieldsHyunsuk Moon, Yuichiro Taguchi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호Restriction of scalars with simple endomorphism algebra유호석강원경기수학회 · 한국수학논문집2022 · 제30권 제3호The non-existence of certain mod $p$ Galois representationsHyunsuk Moon대한수학회 · 대한수학회보2003 · 제40권 제3호On four-dimensional mod 2 Galois representations and a conjecture of Ash et al.문현석대한수학회 · 대한수학회보2007 · 제44권 제1호THE BOUNDS OF THE COEFFICIENTS OF THE CHARACTERISTIC POLYNOMIALS FOR ABELIAN VARIETIES OF DIMENSION 5 OVER FINITE FIELDS손교용장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호
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