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147 papers · 1 filter
E_1-Formality of Complex Algebraic Varieties
J. Cirici, F. Guillén
Let X be a smooth complex algebraic variety. Morgan [Mor78] showed that the rational homotopy type of X is a formal consequence of the differential graded algebra defined by the fi…
Ferromagnetic coupling of mononuclear Fe centers in a self-assembled metal-organic network on Au(111)
T. R. Umbach, M. Bernien, C. F. Hermanns +7
The magnetic state and magnetic coupling of individual atoms in nanoscale structures relies on a delicate balance between different interactions with the atomic-scale surrounding.…
Laplacian ideals, arrangements, and resolutions
Anton Dochtermann, Raman Sanyal
The Laplacian matrix of a graph G describes the combinatorial dynamics of the Abelian Sandpile Model and the more general Riemann-Roch theory of G. The lattice ideal associated to…
Many projectively unique polytopes
Karim A. Adiprasito, Günter M. Ziegler
We construct an infinite family of 4-polytopes whose realization spaces have dimension smaller or equal to 96. This in particular settles a problem going back to Legendre and Stein…
Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
Branko Nikolic, Antun Balaz, Axel Pelster
Here we study properties of a homogeneous dipolar Bose-Einstein condensate in a weak anisotropic random potential with Lorentzian correlation at zero temperature. To this end we so…
pH-dependent coarse-grained model of peptides
Marta Enciso, Christof Schuette, Luigi Delle Site
We propose the first, to our knowledge, coarse-grained modeling strategy for peptides where the effect of changes of the pH can be efficiently described. The idea is based on model…