Zobrazeno 1 - 10
of 350
pro vyhledávání: '"51M15"'
Autor:
Dana-Picard, Thierry
Hyperbolism of a given curve with respect to a point and a line is an interesting construct, a special kind of geometric locus, not frequent in the literature. While networking between two different kinds of mathematical software, we explore various
Externí odkaz:
http://arxiv.org/abs/2412.11676
Autor:
Manturov, Vassily Olegovich
In the present paper, we construct an invariant of braids in the real projective plane which corresponds to an ``action'' of braids on certain graphs in $\R{}P^{2}$ with labels. This paper is a sequel of papers \cite{M},\cite{KM}. It demonstrates onc
Externí odkaz:
http://arxiv.org/abs/2411.18991
Autor:
Waldron, Shayne
We give a simple presentation of the six quaternionic equiangular lines in $\mathbb{H}^2$ as an orbit of the primitive quaternionic reflection group of order 720 (which is isomorphic to 2.A_6 the double cover of $A_6)$. Other orbits of this group are
Externí odkaz:
http://arxiv.org/abs/2411.16766
Autor:
McManus, Jonathan, Kurlin, Vitaliy
The fundamental model of any periodic crystal is a periodic set of points at all atomic centres. Since crystal structures are determined in a rigid form, their strongest equivalence is rigid motion (composition of translations and rotations) or isome
Externí odkaz:
http://arxiv.org/abs/2410.23288
Autor:
Lubbes, Niels
We classify the singular loci of real surfaces in three-space that contain two circles through each point. We characterize how a circle in such a surface meets this loci as it moves in its pencil and as such provide insight into the topology of the s
Externí odkaz:
http://arxiv.org/abs/2409.19253
We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different constructions are proposed, by patching neighborhoods of curves in pro
Externí odkaz:
http://arxiv.org/abs/2407.20206
Autor:
Cruz, Luis, Koshkin, Sergiy
The quadratrix received its name from the circle quadrature, squaring the circle, but it only solves it if completed by taking a limit, as pointed out already in antiquity. We ask if it can square the circle without limits and restrict its use accord
Externí odkaz:
http://arxiv.org/abs/2406.14032
Autor:
Bottazzi, Tamara, Varela, Alejandro
We formulate the issue of minimality of self-adjoint operators on a Hilbert space as a semi-definite problem, linking the work by Overton in [1] to the characterization of minimal hermitian matrices. This motivates us to investigate the relationship
Externí odkaz:
http://arxiv.org/abs/2405.08923
Autor:
Ellmeyer, Simon, Hofstätter, Georg C.
Busemann-Petty type problems for the recently introduced complex projection, centroid and $L_p$-intersection body operators are examined. Moreover, it is shown that, as their real counterparts, they can be linked to the spherical Fourier transform.
Externí odkaz:
http://arxiv.org/abs/2404.05630
Autor:
Hasegawa, Keizo, Kasuya, Hisashi
In this paper we determine all the simply connected non-degenerate CR Lie groups, which are flat with respect to the Cartan connection: in terms of associated Lie algebras, we assert that the only Cartan flat non-degenerate CR Lie algebras are $\math
Externí odkaz:
http://arxiv.org/abs/2404.03318