On the Intersection Index of Divisors

Abstract

Several divergent results for the hypefine interaction of dilute Sc in G d have recently been reported. We have repeated and extended earlier low-temperature nuclear orientation experiments and reanalysed the data, obtaining a hyperfine field of -4.35 i 0.64T at the Sc nucleus, somewhat smaller but of the same order as the previous nuclear orientation value. Our data are not consistent with a recently reported large electric quadrupole interaction and small hyperfine field.

An adelic resolution for homology sheaves

“…This formula was proved by different methods first for d = 2 in [21] and for arbitrary d in [16]. We generalize the explicit computations from [21] and [16] in the proof of Theorem 4.22.…”

“…This formula was proved by different methods first for d = 2 in [21] and for arbitrary d in [16]. We generalize the explicit computations from [21] and [16] in the proof of Theorem 4.22. The next example is the intersection of a 1-cycle C and a divisor D in the threedimensional irreducible smooth variety X over k. We describe explicitly a 2-cocycle [C] in the adelic complex A(X, K X 2 )…”

Адельная Резольвента Для Пучков Гомологий

“…Эта формула была доказана другими методами сначала для случая d = 2 в [21], а затем для произвольного d в [22]. Мы обобщаем явные вычисления из [21] и [22] при доказательстве теоремы 4.21.…”

Chern classes, adeles and L-functions.

“…This construction can be generalized to varietes of any dimension (and with singularities) [10]. This construction can be generalized to varietes of any dimension (and with singularities) [10].…”

“…b n ) are smooth and each fibre Xi = X bi contains only one double point P i9 /=!,..., n. Denote by j : V c» B the inclusion and by L = k(B) the field of rational functions on B.Let & q = R q f+y 9 # = 0, l, 2. In our Situation(10) ΦΙ .^^(-1)04where 4 is the Galois module (IX· 0 Z 7)/(diagonal) and X' i9 X· are branches of X t near the point P, ([4] 3. 1) the sheaves J^0 and ^2 are locally constant of rank l on B, the sheaf j*^ is locally constant on V and for any b = b i tB there is an exact sequence(9) 0^^-^1ϊ7Γ -»φΐ-»0 of the fibres.…”