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...
Enumerating Quartic Dihedral Extensions of ℚ
Tập 133 - Trang 65-93 - 2002
We give an explicit Dirichlet series for the generating function of the
discriminants of quartic dihedral extensions of ℚ. From this series we deduce an
asymptotic formula for the number of isomorphism classes of such quartic
extensions with discriminant up to a given bound. On the other hand, by using
essentially classical results of genus theory combined with elementary
analytical methods such a...
A Family of Irreducible Representations of the Witt Lie Algebra with Infinite-Dimensional Weight Spaces
Tập 128 - Trang 153-176 - 2001
We define a 4-parameter family of generically irreducible and inequivalent
representations of the Witt Lie algebra on which the infinitesimal rotation
operator acts semisimply with infinite-dimensional eigenspaces. They are
deformations of the (generically indecomposable) representations on spaces of
polynomial differential operators between two spaces of tensor densities on S 1,
which are constru...
Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, R)
Tập 128 - Trang 177-216 - 2001
In this paper we define a kind of generalized spherical functions on Sp(2, R).
We call it ‘Fourier–Jacobi type’, since it can be considered as a generalized
Whittaker model associated with the Jacobi maximal parabolic subgroup. Also we
give the multiplicity theorem and an explicit formula of these functions for
discrete series representations of Sp(2, R).
Indivisibility of Class Numbers and Iwasawa λ-Invariants of Real Quadratic Fields
Tập 126 - Trang 249-256 - 2001
Let D>0 be the fundamental discriminant of a real quadratic field, and h(D) its
class number. In this paper, by refining Ono's idea, we show that for any prime
p>3, ♯{0> p √(X)/logX.