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 Chiral Ring of Calabi–Yau Hypersurfaces in Toric Varieties
- 2003
This paper is devoted to the calculation of the B-model chiral ring, used in
physics, for semiample Calabi–Yau hypersurfaces. We also study the cohomology of
semiample hypersurfaces.
A New Derivation of the Inner Product Formula for the Macdonald Symmetric Polynomials
Tập 113 - Trang 117-122 - 1998
We give a short proof of the inner product conjecture for the symmetric
Macdonald polynomials of type An-1. As a special case, the corresponding
constant term conjecture is also proved.
The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t)
Tập 139 - Trang 263-295 - 2003
We determine all the complex polynomials f(X) such that, for two suitable
distinct, nonconstant rational functions g(t) and h(t), the equality f(g(t)) =
f(h(t)) holds. This extends former results of Tverberg, and is a contribution to
the more general question of determining the polynomials f(X) over a number
field K such that f(X) − λ has at least two distinct K-rational roots for
infinitely many ...
Sur la répartition des valeurs de la fonction d'Euler
Tập 110 - Trang 239-250 - 1998
Let Φ(x) denote the number of those integers n with ϕ(n)≤ x, where ϕ denotes the
Euler function. Improving on a well-known estimate of Bateman (1972), we show
that Φ(x)-Ax ≪ R(x), where A=ζ(2)ζ(3)/ζ(6) and R(x) is essentially of the size
of the best available estimate for the remainder term in the prime number
theorem.