Results 21 to 30 of about 3,701 (70)

Generic root counts and flatness in tropical geometry

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
wiley   +1 more source

Mori dream bonds and C∗${\mathbb {C}}^*$‐actions

Mathematische Nachrichten, Volume 298, Issue 4, Page 1127-1147, April 2025.
Abstract We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and C∗${\mathbb {C}}^*$‐actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of ...
Lorenzo Barban, Eleonora A. Romano, Luis E. Solá Conde, Stefano Urbinati   +3 more
wiley   +1 more source

Additive Manufacturing of Organic Electrochemical Transistors: Methods, Device Architectures, and Emerging Applications

Small, Volume 21, Issue 11, March 19, 2025.
Organic electrochemical transistors (OECTs) are essential for bioelectronics, neuromorphics, and flexible electronics. This review examines additive manufacturing advances for OECTs, covering printing techniques, device architectures, and applications including biochemical sensing, neuromorphic, green bio‐electronics, self‐healable, and 4D electronics.
Roberto Granelli, Zsolt M. Kovács‐Vajna, Fabrizio Torricelli   +2 more
wiley   +1 more source

Reduced Order Modelling of Fully Coupled Electro‐Mechanical Systems Through Invariant Manifolds With Applications to Microstructures

International Journal for Numerical Methods in Engineering, Volume 126, Issue 3, 15 February 2025.
ABSTRACT This article presents the first application of the direct parametrisation method for invariant manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of deformable structures subjected to an electrostatic field. The formulation proposed is intended for model order reduction of electrostatically actuated resonating
Attilio Frangi, Alessio Colombo, Alessandra Vizzaccaro, Cyril Touzé   +3 more
wiley   +1 more source

Pure Anderson Motives and Abelian \tau-Sheaves

, 2010
Pure t-motives were introduced by G. Anderson as higher dimensional generalizations of Drinfeld modules, and as the appropriate analogs of abelian varieties in the arithmetic of function fields.
G. Anderson, G. Anderson, J. Tate, M. Papanikolas, Matthias Bornhofen, R. Pink, Urs Hartl, V.G. Drinfeld, V.G. Drinfeld, V.G. Drinfeld, W.C. Waterhouse, Y. Taguchi, Y. Taguchi   +12 more
core   +1 more source

Rational surfaces with a non‐arithmetic automorphism group

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3895-3904, December 2024.
Abstract In [Algebraic surfaces and hyperbolic geometry, Cambridge University Press, Cambridge, 2012], Totaro gave examples of a K3 surface such that its automorphism group is not commensurable with an arithmetic group, answering a question of Mazur in Section 7 of [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 14–50].
Jennifer Li, Sebastián Torres
wiley   +1 more source

L${L}$‐functions of Kloosterman sheaves

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley   +1 more source

On realization of generalized effect algebras

, 2012
A well known fact is that there is a finite orthomodular lattice with an order determining set of states which is not representable in the standard quantum logic, the lattice $L({\mathcal H})$ of all closed subspaces of a separable complex Hilbert space.
Blank, Dvurečenskij, Engelking, Foulis, Greechie, Gudder, Hedlíková, Jan Paseka, Kalmbach, Kôpka, Paseka, Paseka, Polakovič, Polakovič, Riečanová, Riečanová   +15 more
core   +1 more source

Polynomial‐exponential equations — Some new cases of solvability

Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.
Abstract Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables.
Vincenzo Mantova, David Masser
wiley   +1 more source

Applying projective functors to arbitrary holonomic simple modules

Journal of the London Mathematical Society, Volume 110, Issue 2, August 2024.
Abstract We prove that applying a projective functor to a holonomic simple module over a semisimple finite‐dimensional complex Lie algebra produces a module that has an essential semisimple submodule of finite length. This implies that holonomic simple supermodules over certain Lie superalgebras are quotients of modules that are induced from simple ...
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz   +2 more
wiley   +1 more source