Results 41 to 50 of about 238 (137)
F‐purity of binomial edge ideals
Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
Spectral Modeling of the Dark Signal for UV and VIS‐NIR AvaSpec‐2048 CCD‐Array Spectrometers
Abstract The use of CCD‐array spectrometers has substantially increased in recent years in many different fields. Although they have numerous advantages over conventional scanning spectrometers, they need to be thoroughly characterized to correct for various sources of error. This study focuses on the experimental characterization of the dark signal of
A. Flores +4 more
wiley +1 more source
Vacuum geometry of the standard model
Vacuum structure of a quantum field theory is a crucial property. In theories with extended symmetries, such as supersymmetric gauge theories, the vacuum is typically a continuous manifold, called the vacuum moduli space, parametrized by the expectation ...
Yang-Hui He +4 more
doaj +1 more source
Arrangements of equal minors in the positive Grassmannian [PDF]
We discuss arrangements of equal minors in totally positive matrices. More precisely, we would like to investigate the structure of possible equalities and inequalities between the minors.
Miriam Farber, Alexander Postnikov
doaj +1 more source
ABSTRACT We study asymptotic dynamics of Kuramoto oscillators with inertia and frustration using the classical perturbation theory of ordinary differential equation systems. Frustration also known as the phase‐lag poses challenges for the mathematical analysis of asymptotic dynamics due to the breakdown of total phase conservation and the gradient ...
Hangjun Cho +2 more
wiley +1 more source
Algebraic attack on NTRU using Witt vectors and Gröbner bases
We present an algebraic attack on NTRU (restricted to the case where the parameter q is a power of two) using the method of the Witt vectors proposed by Silverman, Smart and Vercauteren [Springer: 278–298, 2005]; the latter considered only the first two ...
Bourgeois Gérald, Faugère Jean-Charles
doaj +1 more source
Model category structures on truncated multicomplexes for complex geometry
Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
wiley +1 more source
Grobner Bases for Nonlinear DAE Systems of Analog Circuits [PDF]
Systems of differential equations play an important role in modelling and analysis of many complex systems e.g. in electronics and mechanics. The following article is concerned with a symbolic analysis approach for reduction of the differential index of ...
Silke J. Spang
doaj
Polarization and Gorenstein liaison
Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
wiley +1 more source

