Stability of some vector bundles on Hilbert schemes of points on K3 surfaces

Let X be a projective K3 surfaces. In two examples where there exists a fine moduli space M of stable vector bundles on X, isomorphic to a Hilbert scheme of points, we prove that the universal family $${\mathcal {E}}$$ E on $$X\times M$$ X × M can be understood as a complete flat family of stable vector bundles on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.

Unobstructedness of hyperkähler twistor spaces

A family of irreducible holomorphic symplectic (ihs) manifolds over the complex projective line has unobstructed deformations if its period map is an embedding. This applies in particular to twistor spaces of ihs manifolds. Moreover, a family of ihs manifolds over a subspace of the period domain extends to a universal family over an open neighborhood in the period domain.

Adherence to a Socio-Educational Family Prevention Program at Primary and Secondary Schools

This study analyzes adherence to a universal family prevention program used in schools, the Universal Family Competence Program 11-14. It reports on the family members’ retention rates, attendance and quality of participation in the sessions, as well as family satisfaction with the trainers and the program itself. The study, based on a quasi-experimental design with pretest and posttest measures and experimental and control groups, evaluated fidelity and the effectiveness of the mechanisms used to control the program conditions. The results point to the need for the inclusion of methodological strategies aimed at facilitating assessments of the multiple dimensions of adherence and at guaranteeing optimal family participation rates.

Using qualitative and participatory methods to refine implementation strategies: universal family psychosocial screening in pediatric cancer

Background Children with cancer and their families are at risk for short- and long-term psychosocial difficulties. Screening for psychosocial risk remains inconsistent, leading to inequitable access to psychosocial services. The Psychosocial Assessment Tool (PAT) is an evidence-based caregiver report screener of family psychosocial risk ready for implementation in a nationwide cluster randomized trial that will test two implementation strategies across 18 pediatric cancer centers. The current study, conducted in preparation for the trial, solicited the perspectives of key stakeholders about two proposed implementation strategies identified during previous research which focus on health equity and screening of all families (universal screening). Results were used to refine the implementation strategies for testing in the subsequent trial. Methods Semi-structured interviews with 19 key stakeholders (parents, health care providers, pediatric oncology organizations, and pediatric healthcare leaders) were conducted regarding the two implementation strategies. Strategy I is a training webinar; Strategy II is training + implementation enhanced resources, which includes a champion at each site and monthly peer support consultation calls. Data were analyzed using directed content analysis with deductively derived codes based on the Interactive Systems Framework and inductive codes based on emerging data. Results Stakeholder interviews provided rich data to rigorously modify the proposed implementation strategies. Implementation strategies were modified in consistent with these recommendations: engaging providers by framing family psychosocial screening as an opportunity for more efficient and effective practice; setting clear expectations about the importance of screening 100% of children and their families to achieve the goal of universal screening, equity of care, and reduction of disparities; and adapting successful strategies for systematic implementation of screening to ensure optimal engagement with children and their families throughout their care. Conclusions Stakeholder input strengthened implementation strategies by suggesting modifications that emphasized health equity and reduction in health disparities. Using implementation science methods to build on a long-standing program of research provided practical insights about immediate needs of families and historical insights regarding structural inequities such as language differences and access to services. Resulting strategies address all levels of the social ecology for children’s cancer care, including the patient, family, provider, healthcare system, and community. Trial registration NCT04446728 June 23, 2020

Universal Qudit Hamiltonians

A family of quantum Hamiltonians is said to be universal if any other finite-dimensional Hamiltonian can be approximately encoded within the low-energy space of a Hamiltonian from that family. If the encoding is efficient, universal families of Hamiltonians can be used as universal analogue quantum simulators and universal quantum computers, and the problem of approximately determining the ground-state energy of a Hamiltonian from a universal family is QMA-complete. One natural way to categorise Hamiltonians into families is in terms of the interactions they are built from. Here we prove universality of some important classes of interactions on qudits (d-level systems): We completely characterise the k-qudit interactions which are universal, if augmented with arbitrary Hermitian 1-local terms. We find that, for all $$k \geqslant 2$$ k ⩾ 2 and all local dimensions $$d \geqslant 2$$ d ⩾ 2 , almost all such interactions are universal aside from a simple stoquastic class. We prove universality of generalisations of the Heisenberg model that are ubiquitous in condensed-matter physics, even if free 1-local terms are not provided. We show that the SU(d) and SU(2) Heisenberg interactions are universal for all local dimensions $$d \geqslant 2$$ d ⩾ 2 (spin $$\geqslant 1/2$$ ⩾ 1 / 2 ), implying that a quantum variant of the Max-d-Cut problem is QMA-complete. We also show that for $$d=3$$ d = 3 all bilinear-biquadratic Heisenberg interactions are universal. One example is the general AKLT model. We prove universality of any interaction proportional to the projector onto a pure entangled state.

KODAIRA DIMENSION OF UNIVERSAL HOLOMORPHIC SYMPLECTIC VARIETIES

We prove that the Kodaira dimension of the n-fold universal family of lattice-polarised holomorphic symplectic varieties with dominant and generically finite period map stabilises to the moduli number when n is sufficiently large. Then we study the transition of Kodaira dimension explicitly, from negative to nonnegative, for known explicit families of polarised symplectic varieties. In particular, we determine the exact transition point in the Beauville–Donagi and Debarre–Voisin cases, where the Borcherds $\Phi _{12}$ form plays a crucial role.

Abstract Geometrical Computation 10

Signal machines form an abstract and idealized model of collision computing. Based on dimensionless signals moving on the real line, they model particle/signal dynamics in Cellular Automata. Each particle, or signal , moves at constant speed in continuous time and space. When signals meet, they get replaced by other signals. A signal machine defines the types of available signals, their speeds, and the rules for replacement in collision. A signal machine A simulates another one B if all the space-time diagrams of B can be generated from space-time diagrams of A by removing some signals and renaming other signals according to local information. Given any finite set of speeds S we construct a signal machine that is able to simulate any signal machine whose speeds belong to S . Each signal is simulated by a macro-signal , a ray of parallel signals. Each macro-signal has a main signal located exactly where the simulated signal would be, as well as auxiliary signals that encode its id and the collision rules of the simulated machine. The simulation of a collision, a macro-collision , consists of two phases. In the first phase, macro-signals are shrunk, and then the macro-signals involved in the collision are identified and it is ensured that no other macro-signal comes too close. If some do, the process is aborted and the macro-signals are shrunk, so that the correct macro-collision will eventually be restarted and successfully initiated. Otherwise, the second phase starts: the appropriate collision rule is found and new macro-signals are generated accordingly. Considering all finite sets of speeds S and their corresponding simulators provides an intrinsically universal family of signal machines.

The Fourier–Mukai transform of a universal family of stable vector bundles

In this note we prove that the Fourier–Mukai transform [Formula: see text] of the universal family of the moduli space [Formula: see text] is not fully faithful.

Analysing Effects of Birth Order on Intelligence, Educational Attainment, Big Five, and Risk Aversion in an Indonesian Sample

Few studies have examined birth order effects on personality in countries that are not Western, educated, industrialized, rich, and democratic (WEIRD). However, theories have generally suggested that interculturally universal family dynamics are the mechanism behind birth order effects, and prominent theories such as resource dilution would predict even stronger linear effects in poorer countries. Here, we examine a subset of up to 11 188 participants in the Indonesian Family Life Survey to investigate whether later–borns differ from earlier–borns in intelligence, educational attainment, Big Five, and risk aversion. Analyses were performed using within–family designs in mixed–effects models. In model comparisons, we tested for linear and non–linear birth order effects as well as for possible interactions of birth order and sibship size. Our estimated effect sizes are consistent with the emerging account of birth order as having relatively little impact on intelligence, Big Five, and risk aversion. We found a non–linear pattern for educational attainment that was not robust to imputation of missing data and not aligned with trends in WEIRD countries. Overall, the small birth order effects reported in other studies appear to be culturally specific. © 2020 The Authors. European Journal of Personality published by John Wiley & Sons Ltd on behalf of European Association of Personality Psychology