Wiley
SCOPUS (1996-2023)SCIE-ISI
0010-437X
Cơ quản chủ quản: CAMBRIDGE UNIV PRESS , Cambridge University Press
Lĩnh vực:
Algebra and Number Theory
Các bài báo tiêu biểu
Greatest lower bounds on the Ricci curvature of Fano manifoldsAbstract On a Fano manifoldM we study the supremum of the possiblet such that there is a Kähler metricω ∈c 1 (M ) with Ricci curvature bounded below byt . This is shown to be the same as the m...
Tập 147 Số 1 - Trang 319-331 - 2011
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...... hiện toàn bộ
The Hilbert Scheme Parameterizing Finite Length Subschemes of the Line with Support at the Origin
Tập 126 - Trang 323-334 - 2001
We introduce symmetrizing operators of the polynomial ring A[x] in the variable x over a ring A. When A is an algebra over a field k these operators are used to characterize the monic polynomials F(x) of degree n in A[x] such that A⊗
k
k[x](x)/(F(x)) is a free A-module of rank n. We use the characterization to determine the Hilbert scheme parameterizing subscheme...... hiện toàn bộ
A Taylor–Wiles System for Quaternionic Hecke Algebras
- 2003
Let &ell >3 be a prime. Fix a regular character χ of F&2
× of order ≤ & − 1, and an integer M prime to &. Let f∈S
2(Γ0(M&2)) be a newform which is supercuspidal of type χ at &. For an indefinite quaternion algebra over Q of discriminant dividing the level of f, there is a local quaternionic Hecke algebra T of type χ associated to f. The algebra T acts on a quaternionic cohomological module M. We c...... hiện toàn bộ
Moduli Spaces of Stable Polygons and Symplectic Structures on $$\overline {\mathcal{M}} _{0,n} $$
Tập 118 - Trang 159-187 - 1999
In this paper, certain natural and elementary polygonal objects in Euclidean space, the stable polygons, are introduced, and the novel moduli spaces
$$\mathfrak{M}_{{\text{r,}}\varepsilon } $$
of stable polygons are constructed as complex analytic spaces. Quite unexpectedly, these new moduli spaces are ...... hiện toàn bộ
The Real Period Function of A3 Singularity and Perturbations of the Spherical Pendulum
- 2000
We prove that the Hessian matrix of the real period function ψ(λ) associated with the real versal deformation f
λ(x)=±x
4+λ2
x
2+λ1
x+λ0 of a singularity of type A
3, is nondegenerate, provided that λεℝ3 does not belong to the discriminant set of the singularity. We explain the relation between this result and the perturbations of the spherical pendulum.
Quiver Varieties and a Noncommutative P2
Tập 134 - Trang 283-318 - 2002
To any finite group
$$\Gamma \subset SL_2 (\mathbb{C})$$
and each element τ in the center of the group algebra of Γ, we associate a category,
$$\mathcal{C}oh(\mathbb{P}_{\Gamma ,\tau }^2 ,\mathbb{P}^1 )$$
I...... hiện toàn bộ