@article{1471, abstract = {Given a possibly reducible and non-reduced spectral cover π: X → C over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL n-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder-Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SL n stable bundle moduli space.}, author = {Tamas Hausel and Pauly, Christian}, journal = {Geometry and Topology}, number = {3}, pages = {1609 -- 1638}, publisher = {University of Warwick}, title = {{Prym varieties of spectral covers}}, doi = {10.2140/gt.2012.16.1609}, volume = {16}, year = {2012}, } @article{171, abstract = {For given non-zero integers a, b, q we investigate the density of solutions (x, y) ∈ ℤ2 to the binary cubic congruence ax2 + by3 ≡ 0 mod q, and use it to establish the Manin conjecture for a singular del Pezzo surface of degree 2 defined over ℚ.}, author = {Timothy Browning and Baier, Stephan}, journal = {Journal fur die Reine und Angewandte Mathematik}, number = {680}, pages = {1 -- 65}, publisher = {Walter de Gruyter}, title = {{Inhomogeneous cubic congruences and rational points on del Pezzo surfaces}}, doi = {https://doi.org/10.1515/crelle.2012.039}, volume = {2013}, year = {2012}, } @article{1725, abstract = {The spatial organization of cell fates during development involves the interpretation of morphogen gradients by cellular signaling cascades and transcriptional networks. Recent studies use biophysical models, genetics, and quantitative imaging to unravel how tissue-level morphogen behavior arises from subcellular events. Moreover, data from several systems show that morphogen gradients, downstream signaling, and the activity of cell-intrinsic transcriptional networks change dynamically during pattern formation. Studies from Drosophila and now also vertebrates suggest that transcriptional network dynamics are central to the generation of gene expression patterns. Together, this leads to the view that pattern formation is an emergent behavior that results from the coordination of events occurring across molecular, cellular, and tissue scales. The development of novel approaches to study this complex process remains a challenge.}, author = {Anna Kicheva and Cohen, Michael H and Briscoe, James}, journal = {Science}, number = {6104}, pages = {210 -- 212}, publisher = {American Association for the Advancement of Science}, title = {{Developmental pattern formation: Insights from physics and biology}}, doi = {10.1126/science.1225182}, volume = {338}, year = {2012}, } @article{1757, abstract = {Self-assembled Ge wires with a height of only 3 unit cells and a length of up to 2 micrometers were grown on Si(001) by means of a catalyst-free method based on molecular beam epitaxy. The wires grow horizontally along either the [100] or the [010] direction. On atomically flat surfaces, they exhibit a highly uniform, triangular cross section. A simple thermodynamic model accounts for the existence of a preferential base width for longitudinal expansion, in quantitative agreement with the experimental findings. Despite the absence of intentional doping, the first transistor-type devices made from single wires show low-resistive electrical contacts and single-hole transport at sub-Kelvin temperatures. In view of their exceptionally small and self-defined cross section, these Ge wires hold promise for the realization of hole systems with exotic properties and provide a new development route for silicon-based nanoelectronics.}, author = {Zhang, Jianjun and Georgios Katsaros and Montalenti, Francesco and Scopece, Daniele and Rezaev, Roman O and Mickel, Christine H and Rellinghaus, Bernd and Miglio, Leo P and De Franceschi, Silvano and Rastelli, Armando and Schmidt, Oliver G}, journal = {Physical Review Letters}, number = {8}, publisher = {American Physical Society}, title = {{Monolithic growth of ultrathin Ge nanowires on Si(001) }}, doi = {10.1103/PhysRevLett.109.085502}, volume = {109}, year = {2012}, } @article{1758, abstract = {We studied the low-energy states of spin-1/2 quantum dots defined in InAs/InP nanowires and coupled to aluminum superconducting leads. By varying the superconducting gap Δ with a magnetic field B we investigated the transition from strong coupling Δ≪T K to weak-coupling Δ≫T K, where T K is the Kondo temperature. Below the critical field, we observe a persisting zero-bias Kondo resonance that vanishes only for low B or higher temperatures, leaving the room to more robust subgap structures at bias voltages between Δ and 2Δ. For strong and approximately symmetric tunnel couplings, a Josephson supercurrent is observed in addition to the Kondo peak. We ascribe the coexistence of a Kondo resonance and a superconducting gap to a significant density of intragap quasiparticle states, and the finite-bias subgap structures to tunneling through Shiba states. Our results, supported by numerical calculations, own relevance also in relation to tunnel-spectroscopy experiments aiming at the observation of Majorana fermions in hybrid nanostructures.}, author = {Lee, Eduardo J and Jiang, Xiaocheng and Aguado, Ramón and Georgios Katsaros and Lieber, Charles M and De Franceschi, Silvano}, journal = {Physical Review Letters}, number = {18}, publisher = {American Physical Society}, title = {{Zero-bias anomaly in a nanowire quantum dot coupled to superconductors}}, doi = {10.1103/PhysRevLett.109.186802}, volume = {109}, year = {2012}, }