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Gromov-Hausdorff Collapsing of Calabi-Yau manifolds
(International PressCommunications in Analysis and Geometry, 2016-06-08)
This paper is a sequel to Collapsing of Abelian Fibered Calabi-Yau Manifolds [12]. We further study Gromov–Hausdorff collapsing limits of Ricci-flat Kähler metrics on abelian fibered Calabi–Yau manifolds. Firstly, we show ...
Arithmetic invariant theory and 2-descent for plane quartic curves
(Mathematical Sciences PublishersAlgebra & Number Theory, 2016-09-27)
Given a smooth plane quartic curve C over a field $\textit{k}$ of characteristic 0, with Jacobian variety $\textit{J}$, and a marked rational point P $\in$ C($\textit{k}$), we construct a reductive group $\textit{G}$ and ...
Isometric disks are holomorphic
(SpringerInventiones mathematicae, 2016-10-05)
This paper shows that every totally-geodesic isometry from the unit disk to a finite-dimensional Teichmüller space for the intrinsic Kobayashi metric is either holomorphic or anti-holomorphic; in particular, it is a ...
Handbook of Big Data [Book review]
(WileyStatistics in Medicine, 2016-12-01)
Fano Varieties in Mori Fibre Spaces
(International Mathematics Research Notices, 2016-01-01)
A Quantum Paradox of Choice: More Freedom Makes Summoning a Quantum State Harder
(American Physical SocietyPhysical Review A, 2016)
The properties of quantum information in space-time can be investigated by studying operational tasks, such as ‘summoning’, in which an unknown quantum state is supplied at one point, and a call is made at another for it ...
Universal Charge Diffusion and the Butterfly Effect in Holographic Theories
(American Physical SocietyPhysical Review Letters, 2016-08-23)
We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by D$_{c}$ = Cv$^{2}$$_{B}$/(2πT), where ...