Results 31 to 40 of about 519 (128)
Local multiplicativity of perverse filtrations
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
Global dimension of dg algebras via compact silting objects
Abstract We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property of the triangulated category itself and, therefore, independent of the choice of the silting object.
Panagiotis Kostas
wiley +1 more source
Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments
This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
wiley +1 more source
Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions
Music and spectroscopy speak the same language: that of fluctuations, line shapes, and ensembles. Herein, we establish useful analogies between music, chemistry, and spectroscopy, extending even to multidimensional and time‐resolved spectroscopies, with a mathematically‐grounded derivation and motivation.
Ricardo J. Fernández‐Terán
wiley +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
ABSTRACT We study prethermalization in time‐independent quantum many‐body systems on a d$d$‐dimensional lattice with an extensive local Hamiltonian H=N+εP$H=N+\varepsilon P$, in the regime where ε≪1$\varepsilon \ll 1$. We prove that the prethermal timescale is exponential in ε0/ε$\varepsilon _0/\varepsilon$, where ε0$\varepsilon _0$ is an explicit ...
Matteo Gallone
wiley +1 more source
On the chain of commuting operators on Banach spaces
Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
wiley +1 more source
On tested Bousfield–Friedlander localizations
Abstract We show that a Bousfield–Friedlander localization of a model category of functors with respect to a set of test morphisms, as introduced by Bandklayder, Bergner, Griffiths, Johnson and Santhanam, can be characterized as a left Bousfield localization at a specific tensoring of the set of homotopy generators.
Niall Taggart
wiley +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source

