Wiley
SCOPUS (1996-2025)SCIE-ISI
0010-437X
Cơ quản chủ quản: CAMBRIDGE UNIV PRESS , Cambridge University Press
Lĩnh vực:
Algebra and Number Theory
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Greatest lower bounds on the Ricci curvature of Fano manifolds
Tập 147 Số 1 - Trang 319-331 - 2011
AbstractOn a Fano manifoldMwe study the supremum of the possibletsuch that there
is a Kähler metricω∈c1(M) with Ricci curvature bounded below byt. This is shown
to be the same as the maximum existence time of Aubin’s continuity path for
finding Kähler–Einstein metrics. We show that onP2blown up in one point this
supremum is 6/7, and we give upper bounds for other manifolds.
Sur la cohomologie à supports compacts des variétés de Shimura pour GSp(4) $$_\mathbb{Q} $$
Tập 105 - Trang 267-359 - 1997
In this paper we compute the cohomology with compact supports of a
Siegelthreefold as a virtual module over the product of the Galois group of
$$\mathop \mathbb{Q}\limits^{\text{\_}} $$ over $$\mathbb{Q}$$ and the Hecke
algebra. We use a method which has been developed by Ihara, Langlands and
Kottwitz: comparison of the Grothendieck--Lefschetz formula and the
Arthur--Selberg trace formula....
Hecke Algebras of Classical Groups over p-adic Fields II
Tập 127 - Trang 117-167 - 2001
In the previous part of this paper, we constructed a large family of Hecke
algebras on some classical groups G defined over p-adic fields in order to
understand their admissible representations. Each Hecke algebra is associated to
a pair (J Σ, ρΣ) of an open compact subgroup J Σ and its irreducible
representation ρΣ which is constructed from given data Σ = (Γ, P′0, ϱ). Here, Γ
is a semisimple elem...
On the Representations of a Number as the Sum of Three Cubes and a Fourth or Fifth Power
Tập 121 - Trang 55-78 - 2000
Let R k (n) denote the number of representations of a natural number n as the
sum of three cubes and a kth power. In this paper, we show that R 3 (n) ≪ n
5/9+ε, and that R 4 (n) ≪ n 47/90+ε, where ε > 0 is arbitrary. This extends work
of Hooley concerning sums of four cubes, to the case of sums of mixed powers. To
achieve these bounds, we use a variant of the Selberg sieve method introduced by
Hoo...
Examples of unstable Hamiltonian-minimal Lagrangian tori in C2
- 1998
A new family of Hamiltonian-minimal Lagrangian tori in the complex Euclidean
plane is constructed. They are the first known unstable ones and are
characterized in terms of being the only Hamiltonian-minimal Lagrangian tori
(with non-parallel mean curvature vector) in C2 admitting a one-parameter group
of isometries.
Deformations of Codimension 2 Toric Varieties
Tập 123 - Trang 225-241 - 2000
We prove Sturmfels' conjecture that toric varieties of codimension two have no
other flat deformations than those obtained by Gröbner basis theory.
Một Bằng Chứng Hình Học của Định Lý Shiota về Đoán của S. P. Novikov Dịch bởi AI
Tập 111 - Trang 305-322 - 1998
Chúng tôi đưa ra một bằng chứng mới cho định lý của Shiota về đoán của Novikov,
trong đó tuyên bố rằng các ký hiệu K.P. của phương trình tương ứng với các hình
học Jacobian giữa tất cả các đa tạp Abel chính xác không phân tích được.
#định lý Shiota #đoán Novikov #phương trình K.P. #hình học Jacobian #đa tạp Abel