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.
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.... hiện toàn bộ
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
In this paper it is proved that the index of a Fredholm operator between
$p$-adic Banach spaces is preserved under compact perturbations. A case of
special interest is provided when the ground field is nonspherically complete.
In this case the classical techniques are no longer valid and the relation
between the kernels of a Fredholm operator and that of a small compact
perturbation turn out to be... hiện toàn bộ
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.
This work was largely inspired by a paper of Shustin, in which he proves that
for a plane curve of given degree n whose singularities are not too complicated
the singularities are versally unfolded by embedding the curve in the space of
all curves of degree n; however, our methods are very different. The main result
gives fairly explicit lower bounds on the sum of the Tjurina numbers at the
singul... hiện toàn bộ