학술논문
ON SOME TWISTED COHOMOLOGY OF THE RING OF INTEGERS
이용수 12
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Seok-Min Lee
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 30, No. 1, 77~102쪽, 전체 26쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2017.02.28
5,920원
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국문 초록
As an analogy of Poincar´e series in the space of modular forms, T. Ono associated a module M c /P c for γ = [c] ∈ H 1 (G, R × ) where finite group G is acting on a ring R. M c /P c is re-garded as the 0-dimensional twisted Tate cohomology b H 0 (G, R + ) γ . In the case that G is the Galois group of a Galois extension K of a number field k and R is the ring of integers of K, the vanishing properties of M c /P c are related to the ramification of K/k. We generalize this to arbitrary n-dimensional twisted cohomology of the ring of integers and obtain the extended version of theorems. More-over, some explicit examples on quadratic and biquadratic number fields are given.
영문 초록
목차
1. Introduction
2. n-dimensional twisted cohomology
3. Galois extension of number fields
4. 1-dimensional twisted cohomology
5. Local and global
6. Quadratic fields
7. Biquadratic fields
해당간행물 수록 논문
- THE MATRIX GEOMETRIC MEANS UNDER PARTIAL TRACE
- DOUBLE PAIRWISE (r, s)(u, v)-PRECONTINUOUS MAPPINGS
- PRINCIPAL COFIBRATIONS AND GENERALIZED CO-H-SPACES
- SOME NOTES ON RELATIVELY COMPACT SUBSETS OF FUZZY SETS
- ON SOME TWISTED COHOMOLOGY OF THE RING OF INTEGERS
- ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS
- ROBUST DUALITY FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
- THE ARCSINE LAW IN THE GENERALIZED ANALOGUE OF WIENER SPACE
- A REMARK ON A STABILITY IN MULTI-VALUED DYNAMICS
- CHOOSING REGULARIZATION PARAMETER BY GLOBAL L-CURVE CRITERION
- A NOTE ON EXPLICIT SOLUTIONS OF CERTAIN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
- MOBIUS FUNCTIONS OF ORDER k IN FUNCTION FIELDS
- SOME CHARACTERIZATIONS OF DEDEKIND MODULES
- PERSISTENT ACTIONS ON COMPACT METRIC SPACES
- THE AP-HENSTOCK INTEGRAL OF VECTOR-VALUED FUNCTIONS
참고문헌
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