Results 71 to 80 of about 344 (154)
Geometry of focal conics in sessile cholesteric droplets. [PDF]
Proc Natl Acad Sci U S A, 2023 Kamien RD, Nastishin Y, Pansu B.
europepmc +1 more source
A Tutte polynomial for toric arrangements
, 2010 We introduce a multiplicity Tutte polynomial M(x, y), with applications to zonotopes and toric arrangements. We prove that M(x, y) satisfies a deletion-restriction recursion and has positive coefficients.
Luca Moci
core
A quantum processor based on coherent transport of entangled atom arrays. [PDF]
Nature, 2022 Bluvstein D +11 more
europepmc +1 more source
Matroids and semirings attached to toric singularity arrangements
Curve singularities are classical objects of study in algebraic geometry. The key player in their combinatorial structure is the {\it value semigroup}, or its compactification, the {\it value semiring}. One natural problem is to explicitly determine the value semirings of distinguished infinite classes of singularities, with a view to understanding ...
Cotterill, Ethan +1 more
openaire +2 more sources
Centering toric arrangements of maximal rank
Annales Universitatis Paedagogicae Cracoviensis. Studia MathematicaAbstract The homotopy type of the complement manifold of a complexified toric arrangement has been investigated by d’Antonio and Delucchi in a paper that shows the minimality of such topological space. In this work we associate to a given toric arrangement a matrix that represents the arrangement over the integers.
openaire +2 more sources
Cataract Surgery-Indications, Techniques, and Intraocular Lens Selection. [PDF]
Dtsch Arztebl Int, 2023 Lapp T +5 more
europepmc +1 more source
Post Penetrating Keratoplasty Ectasia: Incidence, Risk Factors, Clinical Features, and Treatment Options. [PDF]
J Clin Med, 2022 Moramarco A +4 more
europepmc +1 more source
Root polytopes, tropical types, and toric edge ideals
, 2022 We consider arrangements of tropical hyperplanes where the apices of the hyperplanes are taken to infinity in certain directions. Such an arrangement defines a decomposition of Euclidean space where a cell is determined by its `type' data, analogous to ...
Smith, Ben +2 more
core
Rational points of fixed denominator in real toric arrangements
Beiträge zur Algebra und Geometrie / Contributions to Algebra and GeometryAbstract We give a sufficient condition on a positive integer m for every stratum of a given real toric hyperplane arrangement to contain a rational point of denominator m . As a consequence, we give a sufficient condition on
Andrew Hanlon, Davis Painter
openaire +2 more sources
Bethe subspaces and wonderful models for toric arrangements
23 ...
Ilin, Aleksei, Rybnikov, Leonid
openaire +2 more sources