Browsing Scholarly Works  Pure Mathematics and Mathematical Statistics by Title
Now showing items 120 of 212

The 12 model
(2016) 
A 3manifold group which is not four dimensional linear
(20140128) 
3manifolds everywhere
A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3manifold with totally geodesic boundary. These subgroups can be taken to be quasiisometrically embedded. This ... 
Abelian quotients of mapping class groups of highly connected manifolds
(20151012)© 2015, SpringerVerlag Berlin Heidelberg.We compute the abelianisations of the mapping class groups of the manifolds Wg2n=g(Sn×Sn) for n≥ 3 and g≥ 5. The answer is a direct sum of two parts. The first part arises from the ... 
Acylindrical Hyperbolicity, nonsimplicity and SQuniversality of groups splitting over $\mathbb{Z}$
(De Gruyter, 20160915)We show, using acylindrical hyperbolicity, that a finitely generated group splitting over $\mathbb{Z}$ cannot be simple. We also obtain SQuniversality in most cases, for instance a balanced group (one where if two powers ... 
Adaptation in logconcave density estimation
The logconcave maximum likelihood estimator of a density on the real line based on a sample of size n is known to attain the minimax optimal rate of convergence of O(n −4/5 ) with respect to, e.g., squared Hellinger ... 
The algebra of bounded linear operators on ℓp ⊕ ℓq has infinitely many closed ideals
We prove that in the reflexive range 1 < p < q < ∞, the algebra ℒ(ℓp⊕ℓq) of all bounded linear operators on ℓp⊕ℓq has infinitely many closed ideals. This solves a problem raised by A. Pietsch [Operator ideals, Math. Monogr. ... 
Algebraic boundaries of Hilbert's SOS cones
(20121015) 
Almost sure multifractal spectrum of SLE
Suppose that $\eta$ is a SchrammLoewner evolution (SLE$_\kappa$) in a smoothly bounded simply connected domain $D \subset {\mathbb C}$ and that $\phi$ is a conformal map from ${\mathbb D}$ to a connected component of $D ... 
Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p=2
(Nicola Zanichelli, 20171029)Let G be a finite solvable or symmetric group and let B be a 2block of G. We construct a canonical correspondence between the irreducible characters of height zero in B and those in its Brauer first main correspondent. ... 
Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
(Université Paul Sabatier, 2016)We give a criterion for the coercivity of the Mabuchi functional for general Kàhler classes on Fano manifolds in terms of Tian's alpha invariant. This generalises a result of Tian in the anticanonical case implying the ... 
Ample subvarieties and qample divisors
(20120320) 
Arithmetic invariant theory and 2descent for plane quartic curves
(Mathematical Sciences Publishers, 20160927) 
Asymptotics of Partial Density Functions for Divisors
(Springer, 20160919)We study the asymptotic behaviour of the partial density function associated to sections of a positive hermitian line bundle that vanish to a particular order along a fixed divisor $Y$ . Assuming the data in question is ... 
The augmented base locus of real divisors over arbitrary fields
(Springer, 20160708)We show that the augmented base locus coincides with the exceptional locus (i.e., null locus) for any nef $\Bbb R$Cartier divisor on any scheme projective over a field (of any characteristic). Next we prove a semiampleness ... 
Automorphy of some residually S$_5$ Galois representations
(Springer, 2016)Let $\textit{F}$ be a totally real field and $\textit{p}$ an odd prime. We prove an automorphy lifting theorem for geometric representations $\rho$ : $\textit{G}_F$ → GL$_2$($\bar{\Bbb Q}_p$) which lift irreducible residual ... 
Balanced metrics on twisted Higgs bundles
(Springer, 2016)