Connectivity and a Problem of Formal Geometry

Let $P=\mathbb P^m(e)\times\mathbb P^n(h)$ be a product of weighted projective spaces, and let $\Delta_P$ be the diagonal of $P\times P$. We prove an algebraization result for formal-rational functions on certain closed subvarieties $X$ of $P\times P$ along the intersection $X\cap\Delta_P$.Comment: 9 pages, to appear in the Proceedings volume "Experimental and Theoretical Methods in Algebra, Geometry and Topology", series Springer Proceedings in Mathematics & Statistic

Mixing of two-electron spin states in a semiconductor quantum dot

We show that the low lying spin states of two electrons in a semiconductor quantum dot can be strongly mixed by electron-electron asymmetric exchange. This mixing is generated by the coupling of electron spin to its orbital motion and to the relative orbital motion of the two electrons. The asymmetric exchange can be as large as 50% of the isotropic exchange, even for cylindrical quantum dots. The resulting spin mixing contributes to understanding spin dynamics in quantum dots, including light polarization reversal

Formal properties in small codimension

In this note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational homogeneous spaces

STUDY ON THE PREPARATION OF THE TECHNICAL DOCUMENTATION REQUIRED FOR REGISTRATION IN THE LAND BOOK OF A PROPERTY IN KLADOVO – SERBIA

The study is carried out in collaboration with Serbian students from the MTC, from the Faculty of Agronomy of the University of Craiova and with a company from the same country, in order to make a comparison and analogy between the methods and procedures of surveying used in the two countries (Serbia and Romania). The paper presents a case study conducted in the town of Kladovo in Serbia in which a private property was taken into account, which must be registered in the Land Book. In order to solve all the requirements of such a work, a modern and new method was applied, used more and more in the topo-cadastral surveys, namely the combined method GPS and total station. From the surveys carried out in the field and processed at the office, it is found that the methodologies and working procedures are identical to those used in our country. It is also found that the equipment used is very modern and high-performance, which allowed to obtain a very high precision and a high economic efficiency of the work. In the end, the technical documentation prepared strictly complied with all the requirements of the legal norms imposed in Serbia and was done with great precision, which allowed it to be submitted to the office of the Land Book and the registration of the property studied in it. The significant difference between the technical documentation prepared for this property in Serbia and the documentation made in Romania is the Gauss-Kruger coordinate system in which the boundary points were determined, compared to the 1970 Stereographic system used in our country

STUDY ON TOPO-GEODEZIC WORKS FOR THE REHABILITATION OF THE TRAMLINE IN THE FORD-CRAIOVA AREA

The present paper addresses a very complex and difficult research topic, but of great current importance and wide applicability in practice. We affirm this because it is very well known that the road and rail infrastructure 30 years after the revolution is in a very precarious state, we can say very sad, because its rehabilitation and modernization has been done at a very slow pace. Therefore, the working team considered that approaching such a topic of great interest, is beneficial first of all for the practice, since the volume of works of such nature must increase considerably in the future and not lastly it is very valuable from the academic and scientific point of view. In order to solve the thematic approach, the working team used the latest and topographic devices and programs for processing the measured data, which allowed to obtain relevant and very correct results. The working methodology was perfectly adapted to the objective pursued, the situation existing on the ground and the precision imposed by the beneficiary, an aspect that led to obtaining a high execution efficiency of the works, but also to a high economic efficiency, because the time of execution, the volume of works and the number of personnel was greatly reduced

UTILIZATION OF TOTAL STATIONS IN THE WORK OF DETACHMENT A PROPERTY

The detachment of a property is common in recent years, primarily due to the modification of the urban plans, by the extension of the urban areas to the detriment of the arable lands. Thus, there is the possibility of lotizing larger terrains of the order of thousands of square meters in several plots of different sizes, generally 250-600 m2, which are then sold for the construction of new dwellings. In the paper is presented as a case study such a detachment of a property, using for field measurements the total station

ROMANIAN COUNTRYSIDE - SUPPORT FOR THE DEVELOPMENT OF SUSTAINABLE TOURISM

This paper is focused on presenting the particularities of the Romanian rural space from a touristic point of view with its advantages for the tourists and as reason for supporting the development of sustainable tourism. The specificity of natural capital is amplified by spectacular landscapes, varied configuration of land relief, favourable climatic conditions (reduced frequency of negative phenomena, absence of excessive temperatures), therapeutic value and abundance of natural factors (mineral waters and thermal-mineral waters, curative mud, topoclimate and microclimate, etc.), flora and fauna, etc.The natural capital, for which the Romanian rural area represents a „geographic personality”, must be doubled in time by the tourist vocation.Romania holds an immense treasure of archaeological remains, historical, architectural and art monuments, as well as a priceless patrimony which attests the evolution and continuity of work and life on these lands, the development of the culture and arts of the Romanian people. This entire cultural-historical fund represents a significant part of the potential tourist offer (the so-called potential secondary offer) and a component of the tourist image of Romanian on the international market

DRAWING OF THE TECHNICAL DOCUMENTATION FOR THE COMMUNAL ROAD 151-DN 6- SECTIONN 1, DRĂGHICENI COMMUNE, OLT COUNTY, BY COMBINED GPS USE – TOTAL STATION

For drawing up the technical documentation of the Communal Road 151 – DN 6 –Section 1, located in the Drăghiceni commune area, Olt County, it was necessary the combined use of the modern GPS topography equipment – total station. The GPS technology was used to determine the points of the support network, and the total station to thicken it and raise the points on the ground.The computational operations were performed based on the field data, thus obtaining the absolute coordinates of the points that delineate the studied land in the Stereographic Projection System 1970.The drawing up of operations of the placement and delineation plan of the property body consist of representing the points that delineate the surface on a sheet of A3 format at a scale of 1:5000

Energetics and Vibrational States for Hydrogen on Pt(111)

We present a combination of theoretical calculations and experiments for the low-lying vibrational excitations of H and D atoms adsorbed on the Pt(111) surface. The vibrational band states are calculated based on the full three-dimensional adiabatic potential energy surface obtained from first principles calculations. For coverages less than three quarters of a monolayer, the observed experimental high-resolution electron peaks at 31 and 68meV are in excellent agreement with the theoretical transitions between selected bands. Our results convincingly demonstrate the need to go beyond the local harmonic oscillator picture to understand the dynamics of this system.Comment: In press at Phys. Rev. Lett - to appear in April 200

Analytic curves in algebraic varieties over number fields

We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to derive a rationality criterion for formal germs of functions, which extends the classical rationality theorems of Borel-Dwork and P\'olya-Bertrandias valid over the projective line to arbitrary algebraic curves over a number field. The formulation and the proof of these criteria involve some basic notions in Arakelov geometry, combined with complex and rigid analytic geometry (notably, potential theory over complex and $p$-adic curves). We also discuss geometric analogues, pertaining to the algebraic geometry of projective surfaces, of these arithmetic criteria.Comment: 55 pages. To appear in "Algebra, Arithmetic, and Geometry: In Honor of Y.i. Manin", Y. Tschinkel & Yu. Manin editors, Birkh\"auser, 200