Coupled equations for Kähler metrics and Yang-Mills connections

We study equations on a principal bundle over a compact complex manifold coupling a connection on the bundle with a Kahler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kahler metric and Hermite-Yang-Mills for a connection. We provide a moment map interpretation of the equations and study obstructions for the existence of solutions, generalizing the Futaki invariant, the Mabuchi K-energy and geodesic stability. We finish by giving some examples of solutions.Comment: 61 pages; v2: introduction partially rewritten; minor corrections and improvements in presentation, especially in Section 4; added references; v3: To appear in Geom. Topol. Minor corrections and improvements, following comments by referee

La importancia del capital humano como impulsor de la innovación

This article seeks to clarify the impact of human capital on the innovation capacity of companies. We employ the literature review and some personals interpretations. Results have relevant implications for managers of companies that are interested in promoting thier innovation activity. By considering how human capital is related with the innovation process, this article attempts to provide a useful guide of human capital indicators within the intellectual capital framework. We consider that the basic contribution of our work is the development of a system of indicators for human capital management with the objective of allowing for a clear picture of links between strategic human resources and the innovation capacity of companies. Moreover, it can be easily adapted to a given type of organization and, therefore, serve to compare companies belonging to the same sector of activityEl objetivo de este artículo es definir el impacto del capital humano en la capacidad innovadora de las empresas y para ello hemos recurrido a la revisión de la literatura y a nuestras interpretaciones personales. Los resultados demuestran implicaciones de peso para los directores de empresas que se muestran interesados en promocionar la actividad innovadora. Mediante esta consideración de la forma en la que el capital humano influye en el proceso de la innovación, este artículo pretende servir de guía útil sobre los indicadores del capital humano dentro del marco del capital intelectual. Consideramos que la aportación fundamental de nuestro trabajo consiste en el desarrollo de un sistema de indicadores para la gestión del capital humano con el objetivo de ilustrar claramente una serie de vínculos entre los recursos humanos estratégicos y la capacidad innovadora de las empresas. Además, puede adaptarse fácilmente a un tipo determinado de organización y, por tanto, servir para comparar empresas que pertenezcan al mismo sector de activida

Primary Peritoneal Malignant Mixed Müllerian Tumor in a Young Woman: Achieving the Best Clinical Benefit

Extragenital malignant mixed mesodermal müllerian tumors (MT) are rare neoplasms with poor prognosis. Most of them affect women older than 60 years. We present here a case with primary peritoneal malignant mixed müllerian tumor occurring in a young woman who underwent previous hysterectomy and double oophorectomy secondary to a benign disease. We report on the clinical, pathological, and immunohistochemical features of this lesion, which was composed of a poorly differentiated epithelial component and multiple areas of chondromatous differentiation. Along with a brief review of previously reported literature about genital and extragenital MT, some concepts relevant to this case are discussed

Hidden clear cell acanthoma with uncommon dermoscopic findings

Dear Editor, A 73-year-old woman presented with less than a 1-year history of an erythematous, well-delimited and shiny lesion on her left buttock, near the gluteal fold. Dermoscopic examination showed dotted vessels arranged in a linear pattern involving the entire lesion. These vascular findings are also called metaphorically a ‘string of pearls’ pattern. Another vascular pattern observed on the periphery of the lesion is that of branched vessels with rounded endings. Surprisingly, dermoscopy also revealed multiple rosettes (also known as ‘four-clod dots’). Differential diagnoses included mainly clear cell acanthoma, irritated seborrheic keratosis, Bowen´s disease and eccrine poroma. The lesion was completely surgically removed and histopathologic examination revealed an epidermic lesion with marked psoriasiform hyperplasia, in which epidermal cells show clear cytoplasms (Fig. 3). These findings are consistent with the diagnosis of Clear Cell Acanthoma (CCA)..

Few-qubit quantum-classical simulation of strongly correlated lattice fermions

We study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a "two-site" dynamical mean-field theory (DMFT) approach we reduce the Hubbard model to an effective impurity model subject to self-consistency conditions. The resulting minimal two-site representation of the non-linear hybrid setup involves four qubits implementing the impurity problem, plus an ancilla qubit on which all measurements are performed. We outline a possible implementation with superconducting circuits feasible with near-future technology.Comment: 20 pages, 10 figure

Parallel 3-D marine controlled-source electromagnetic modelling using high-order tetrahedral Nédélec elements

We present a parallel and high-order Nédélec finite element solution for the marine controlled-source electromagnetic (CSEM) forward problem in 3-D media with isotropic conductivity. Our parallel Python code is implemented on unstructured tetrahedral meshes, which support multiple-scale structures and bathymetry for general marine 3-D CSEM modelling applications. Based on a primary/secondary field approach, we solve the diffusive form of Maxwell’s equations in the low-frequency domain. We investigate the accuracy and performance advantages of our new high-order algorithm against a low-order implementation proposed in our previous work. The numerical precision of our high-order method has been successfully verified by comparisons against previously published results that are relevant in terms of scale and geological properties. A convergence study confirms that high-order polynomials offer a better trade-off between accuracy and computation time. However, the optimum choice of the polynomial order depends on both the input model and the required accuracy as revealed by our tests. Also, we extend our adaptive-meshing strategy to high-order tetrahedral elements. Using adapted meshes to both physical parameters and high-order schemes, we are able to achieve a significant reduction in computational cost without sacrificing accuracy in the modelling. Furthermore, we demonstrate the excellent performance and quasi-linear scaling of our implementation in a state-of-the-art high-performance computing architecture.This project has received funding from the European Union's Horizon 2020 programme under the Marie Sklodowska-Curie grant agreement No. 777778. Furthermore, the research leading to these results has received funding from the European Union's Horizon 2020 programme under the ChEESE Project (https://cheese-coe.eu/ ), grant agreement No. 823844. In addition, the authors would also like to thank the support of the Ministerio de Educación y Ciencia (Spain) under Projects TEC2016-80386-P and TIN2016-80957-P. The authors would like to thank the Editors-in-Chief and to both reviewers, Dr. Martin Cuma and Dr. Raphael Rochlitz, for their valuable comments and suggestions which helped to improve the quality of the manuscript. This work benefited from the valuable suggestions, comments, and proofreading of Dr. Otilio Rojas (BSC). Last but not least, Octavio Castillo-Reyes thanks Natalia Gutierrez (BSC) for her support in CSEM modeling with BSIT.Peer ReviewedPostprint (author's final draft

Generalized granuloma annulare after pneumococcal vaccination

Granuloma annulare may be caused by multiple triggers. Among these are vaccinations, which have been described as an infrequent cause of granuloma annulare. The authors report the first case of generalized granuloma annulare associated with pneumococcal vaccination in a 57-year-old woman, who presented cutaneous lesions 12 days after vaccination