Results 21 to 30 of about 5,445 (84)
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source
Topological Polar Textures in van der Waals Moiré Superlattices
Small Structures, Volume 7, Issue 2, February 2026.Moiré superlattices allow the realization of several novel properties, including the formation of complex topological polarization textures in ultrathin samples consisting of layered 2D materials. This review highlights the rapid progress in this emerging field, both through theory and experiment, discusses the field's potential implications, and draws
Joshua Edwards +4 more
wiley +1 more source
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley +1 more source
Varieties of sums of powers and moduli spaces of (1,7)-polarized abelian surfaces
, 2017 We study the geometry of some varieties of sums of powers related to the Klein quartic. This allows us to describe the birational geometry of certain moduli spaces of abelian surfaces.
Bolognesi, Michele, Massarenti, Alex
core +2 more sources
Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Theta divisors and permutohedra
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
The Schottky problem in genus five [PDF]
, 2012 In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibers of several maps to reduce all questions to statements about the Prym ...
Siegel, Charles
core
The Gauss map and secants of the Kummer variety
, 2019 Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four dimensional family of trisecant lines. We study when these lines intersect the theta divisor of the Jacobian, and prove that the Gauss map of ...
Auffarth, Robert +2 more
core +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Incorporating £‐Complex Intuitionistic Fuzzy Set to Sylow Theorems in Group Theory
Journal of Mathematics, Volume 2026, Issue 1, 2026.The complex intuitionistic fuzzy (CIF) set is an advanced version of the regular intuitionistic fuzzy set. It is made to better show the uncertainty and complexity that arise in real‐life problems. The grading and nongrading degrees in the CIF set are shown by complex‐valued functions that are defined on the unit disc of the complex plane.
Muhammad Jawad +5 more
wiley +1 more source