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@astro.sk

May 27, 2014
Combinatorics
Mathematical Physics
Rings and Algebras

Cayley-Dickson Algebras and Finite Geometry

Given a $2^N$-dimensional Cayley-Dickson algebra, where $3 \leq N \leq 6$, we first observe that the multiplication table of its imaginary units $e_a…
Feb 06, 2016

Chromospheric evaporation flows and density changes deduced from Hi…

We analyzed high-cadence sit-and-stare observations acquired with the Hinode/EIS spectrometer and HXR measurements acquired with RHESSI during an M-c…
Apr 15, 2013

Search for Alfvén waves in a bright network element observed in Halpha

Alfven waves are considered as potential transporters of energy heating the solar corona. We seek spectroscopic signatures of the Alfven waves in the…
Jun 14, 2013

Evidence of quiet Sun chromospheric activity related to an emerging …

Aims: We investigate the temporal evolution of magnetic flux emergence in the quiet Sun atmosphere close to disk center. Methods: We combine high-res…
Oct 23, 2009

Magnetic loop emergence within a granule

We investigate the temporal evolution of magnetic flux emerging within a granule in the quiet-Sun internetwork at disk center. We combined IR spectro…
Nov 25, 2011
Mathematical Physics

Mermin's Pentagram as an Ovoid of PG(3,2)

Mermin's pentagram, a specific set of ten three-qubit observables arranged in quadruples of pairwise commuting ones into five edges of a pentagram an…
Jun 23, 2018
Combinatorics

Veldkamp Spaces of Low-Dimensional Ternary Segre Varieties

Making use of the `Veldkamp blow-up' recipe, introduced by Saniga and others (Ann. Inst. H. Poincar\' e D2 (2015) 309) for binary Segre varieties, we…
Jun 23, 2010
Algebraic Geometry
Mathematical Physics

On Invariant Notions of Segre Varieties in Binary Projective Spaces

Invariant notions of a class of Segre varieties $\Segrem(2)$ of PG(2^m - 1, 2) that are direct products of $m$ copies of PG(1, 2), $m$ being any posi…
Aug 24, 2009
Mathematical Physics

Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2)

Having in mind their potential quantum physical applications, we classify all geometric hyperplanes of the near hexagon that is a direct product of a…
Nov 07, 2016

Oscillation Maps in the Broadband Radio Spectrum of the 1 August 2010…

We search for indications of waves in the 25-2000 MHz radio spectrum of the 1 August 2010 event (SOL2010-08-01T08:57:00L075C013), where fast propagat…
May 17, 2007
Mathematical Physics

Multi-Line Geometry of Qubit-Qutrit and Higher-Order Pauli Operators

The commutation relations of the generalized Pauli operators of a qubit-qutrit system are discussed in the newly established graph-theoretic and fini…
Feb 14, 2012
Combinatorics
Mathematical Physics

Charting the Real Four-Qubit Pauli Group via Ovoids of a Hyperbolic …

The geometry of the real four-qubit Pauli group, being embodied in the structure of the symplectic polar space W(7,2), is analyzed in terms of ovoids…
Feb 16, 2011
Combinatorics
Mathematical Physics

A Sequence of Qubit-Qudit Pauli Groups as a Nested Structure of Doili…

Following the spirit of a recent work of one of the authors (J. Phys. A: Math. Theor. 44 (2011) 045301), the essential structure of the generalized P…
Sep 08, 2017
Combinatorics
Mathematical Physics

A Combinatorial Grassmannian Representation of the Magic Three-Qubit …

It is demonstrated that the magic three-qubit Veldkamp line occurs naturally within the Veldkamp space of combinatorial Grassmannian of type $G_2(7)$…
Mar 26, 2014
Combinatorics
Mathematical Physics

Veldkamp-Space Aspects of a Sequence of Nested Binary Segre Varieties

Let $S_{(N)} \equiv PG(1,\,2) \times PG(1,\,2) \times \cdots \times PG(1,\,2)$ be a Segre variety that is $N$-fold direct product of projective lines…
Aug 07, 2009
Mathematical Physics

The Veldkamp Space of the Smallest Slim Dense Near Hexagon

We give a detailed description of the Veldkamp space of the smallest slim dense near hexagon. This space is isomorphic to PG(7, 2) and its 2^8 - 1 = …
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