Higher dimensional 3-adic CM construction

We find equations for the higher dimensional analogue of the modular curve X_0(3) using Mumford's algebraic formalism of algebraic theta functions. As a consequence, we derive a method for the construction of genus 2 hyperelliptic curves over small degree number fields whose Jacobian has complex multiplication and good ordinary reduction at the prime 3. We prove the existence of a quasi-quadratic time algorithm for computing a canonical lift in characteristic 3 based on these equations, with a detailed description of our method in genus 1 and 2.Comment: 23 pages; major revie

Covid-19 and the Role of Intellectual Property - Position Statement of the Max Planck Institute for Innovation and Competition of 7 May 2021

In this Statement, the authors take a position on the waiver of intellectual property (IP) protection currently being considered by the members of the World Trade Organisation. The waiver was initiated by India and South Africa as a measure to enable rapid access to affordable medical products that are necessary to combat Covid-19. The initiative gained momentum after the US decided to support it. The authors do not consider this path to be expedient. The Statement presents factual and legal arguments why a comprehensive waiver of IP protection is unlikely to be a necessary and suitable measure towards the pursued objective. Overall, it argues that IP rights may so far have played an enabling and facilitating rather than hindering role in overcoming Covid-19. The global community might not be better off if IP rights are waived, neither during nor after the pandemic. There are more efficient and direct ways to supply developing countries with vaccines quickly – if the industrialised countries are willing to do their share

The criteria to qualify a geographical term as generic: Are we moving from a European to a US perspective?

This article discusses the transformation of a distinctive trade sign into a generic term. Any distinctive trade sign carries this risk, primarily if it benefits from a high level of reputation or prestige, and the product identified is unique in the market. This is probably the most critical danger for such signs, especially if they are industrial property rights. Several criteria have been developed to determine if a sign has been transformed into a generic term. These criteria have economic and political relevance, as genericness is not a trivial issue. The European Court of Justice (ECJ) has taken a position in this matter, as have the European Union Regulations on trademarks and geographical indications. However, the bilateral and multilateral agreements are the critical arena for conflicts concerning geographical terms’ qualification as common terms. The European Union (EU) and the United States (US) have been in the spotlight for a long time, while China is also reaching a prominent place in this dispute. The most recent bilateral agreements have been twisting the criteria applied when assessing a geographical term’s genericness

Preliminary comparison of magmatic manifestations, calc-alkaline affinity and stephanian-permian age, in the Iberian Chain

[Resumen] En este trabajo se estudian, de forma sintética y actualizada, las manifestaciones (hipovolcánicas y volcanoclásticas) calco-alcalinas que, con carácter epizonal, pluriepisódico y edad Stephaniense-Pérmico, afloran en la Cadena Ibérica. El estudio del magmatismo en la cuenca de Sauquillo de Alcázar (Soria) permite identificar la geometría y la modalidad de este magmatismo con mayor precisi6n, respecto a lo obtenido en los cuatro afloramientos volcano-clásticos seleccionados. Los resultados obtenidos facilitan realizar consideraciones sobre el estudio espacio-temporal de este magmatismo..[Abstract] A synthetic and actualized study of several magmatic calc-alkaline manifestations of Stephanian-Permian age, of the Iberian Chain, is proposed in this papero The Sauquillo de Alcázar (Soria) outcrop allows a more complete study (with drilling logs and a surface profile) giving improved spacetime information on the geometry and evolution of this magmatism. Four pyroclastic outcrops are integrated in this compariso

Simulations and analysis tools for charge-exchange (d,2He)(d,{}^{2}\text{He}) reactions in inverse kinematics with the AT-TPC

Charge-exchange $(d,{}^{2}\text{He})$ reactions in inverse kinematics at intermediate energies are a very promising method to investigate the Gamow-Teller transition strength in unstable nuclei. A simulation and analysis software based on the $\rm{\scriptsize ATTPCROOT}$ package was developed to study these type of reactions with the active-target time projection chamber (AT-TPC). The simulation routines provide a realistic detector response that can be used to understand and benchmark experimental data. Analysis tools and correction routines can be developed and tested from simulations in $\rm{\scriptsize ATTPCROOT}$, because they are processed in the same way as the real data. In particular, we study the feasibility of using coincidences with beam-like particles to unambiguously identify the $(d,{}^{2}\text{He})$ reaction channel, and to develop a kinematic fitting routine for future applications. More technically, the impact of space-charge effects in the track reconstruction, and a possible correction method are investigated in detail. This analysis and simulation package constitutes an essential part of the software development for the fast-beams program with the AT-TPC

Testing of pyrochemical centrifugal contactors

A centrifugal contactor that performs oxidation and reduction exchange reactions between molten metals and salts at 500 degrees Centigrade has been tested successfully at Argonne National Laboratory (ANL). The design is based on contactors for aqueous- organic systems operation near room temperature. In tests to demonstrate the performance of the pyrocontactor, cadmium and LICl- KCl eutectic salt were the immiscible solvent phases, and rare earths were the distributing solutes. The tests showed that the pyrocontactor mixed and separated the phases well, with stage efficiencies approaching 99% at rotor speeds near 2700 rpm. The contactor ran smoothly and reliably over the entire range of speeds that was tested