지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Let A be an abelian variety defined over a number field K and let L be a finite Galois extension of K. Let III(A/K) and III(A/L) denote, respectively, the Tate-Shafarevich groups of A over K and over L. Let $Res_{L/K}(A)$ be the restriction of scalars of A from L to K and let B be an abelian subvariety of $Res_{L/K}(A)$ defined over K. Assuming that III(A/L) is finite, we compute [III(B/K)][III(C/K)]/[III(A/L)], where [X] is the order of a finite abelian group X and the abelian variety C is defined by the exact sequence defined over K $0{\longrightarrow}B{\longrightarrow}Res_{L/K}(A){\longrightarrow}C{\longrightarrow}0$.
목차
등록된 정보가 없습니다.
참고문헌 (5)
참고문헌 신청
D. S. Passman / 2004 / A course in ring theory / AMS CHELSEA PUBLISHING
A. Weil / 1982 / Adeles and algebraic groups / Progrss in Math 23
H. Yu / 2004 / On Tate-Shafarevich groups over Galois extensions / Israel J. Math 141:211~220
유호석 / 2010 / ON TATE-SHAFAREVICH GROUPS OVER CYCLIC EXTENSIONS / 호남수학학술지 32(1):45~51
H. Yu / On the order of Tate-Shafarevich groups over finite Galois extensions
A. Weil / 1982 / Adeles and algebraic groups / Progrss in Math 23
H. Yu / 2004 / On Tate-Shafarevich groups over Galois extensions / Israel J. Math 141:211~220
유호석 / 2010 / ON TATE-SHAFAREVICH GROUPS OVER CYCLIC EXTENSIONS / 호남수학학술지 32(1):45~51
H. Yu / On the order of Tate-Shafarevich groups over finite Galois extensions
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ON THE TATE-SHAFAREVICH GROUPS OVER DEGREE 3 NON-GALOIS EXTENSIONS
호남수학학술지
2016 .01
-
ON THE TATE-SHAFAREVICH GROUPS OVER BIQUADRATIC EXTENSIONS
호남수학학술지
2015 .01
-
On the product of quasi-partial metric spaces
한국수학논문집
2019 .01
-
Generalized isometry in normed spaces
대한수학회논문집
2022 .01
-
Erratum : A new iteration method for fixed point of nonexpansive mapping in uniformly convex Banach space
한국수학논문집
2023 .03
-
On finite barely non-abelian $p$-groups
대한수학회보
2016 .01
-
Reduction of abelian varieties and curves
대한수학회지
2024 .05
-
Some remarks on the Subordination Principle for analytic functions concerned with Rogosinski's lemma
한국수학논문집
2021 .01
-
A structure of noncentral idempotents
대한수학회보
2018 .01
-
FINITE p-GROUPS WHOSE NON-ABELIAN SUBGROUPS HAVE THE SAME CENTER
대한수학회지
2017 .07
-
A simple proof for a result on $n$-Jordan homomorphisms
대한수학회논문집
2023 .04
-
Results associated with the Schwarz lemma on the boundary
대한수학회논문집
2023 .04
-
Applications of Jack's lemma for certain subclasses of holomorphic functions on the unit disc
대한수학회논문집
2019 .01
-
On bounds for the derivative of analytic functions at the boundary
한국수학논문집
2021 .12
-
Residual finiteness and Abelian subgroup separability of some high dimensional graph manifolds
한국수학논문집
2021 .09
-
HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM
대한수학회지
2017 .01
-
Finite $p$-groups all of whose subgroups of class 2 are generated by two elements
대한수학회지
2019 .01
-
NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS
대한수학회보
2015 .01
-
Abelian property concerning factorization modulo radicals
한국수학논문집
2016 .01
-
Generalized pseudo $B$-Gabor frames on finite abelian groups
한국수학논문집
2024 .03
이 논문의 저자 정보
최근 본 자료
댓글(0)
0