Asymptotic base loci on singular varieties

We prove that the non-nef locus and the restricted base locus of a pseudoeffective divisor coincide on KLT pairs. We also extend to KLT pairs F. Russo's characterization of nef and abundant divisors by means of asymptotic multiplier ideals.Comment: Improved exposition. To appear in "Math. Z.

Restricted volumes of effective divisors

We study the restricted volume of effective divisors, its properties and the relationship with the related notion of reduced volume, defined via multiplier ideals, and with the asymptotic intersection number. We build upon the fundamental work of Lazarsfeld and Mustata relating the restricted volume of big divisors to the volume of the associated Okounkov body. We extend their constructions and results to the case of effective divisors, recovering some results of Kaveh and Khovanskii, proving a Fujita-type approximation in this larger setting and studying the restricted volume function. In order to relate the reduced volume and the asymptotic intersection number we investigate a boundedness property of asymptotic multiplier ideals and prove it holds, for instance, for finitely generated divisors. In this way we obtain also a complete picture for the canonical divisor of an arbitrary smooth projective variety and for nef divisors on varieties of dimension at most 3.Comment: 32 page

Euler pseudoprimes for half of the bases

We prove that an odd number is an Euler pseudoprime for exactly one half of the admissible bases if and only if it is a special Carmichael number.Comment: 4 pages. To appear in Integer

Pluricanonical systems for 3-folds and 4-folds of general type

We explicitly find lower bounds on the volume of threefolds and fourfolds of general type in order to have nonvanishing of pluricanonical systems and birationality of pluricanonical maps. In the case of threefolds of large volume, we also give necessary and sufficient conditions for the fourth canonical map to be birational.Comment: 25 pages. Minor corrections and improved exposition. To appear in Mathematical Proceedings of the Cambridge Philosophical Societ

Study of the bolometers thermal response for the search of rare events

Large-mass bolometers are calorimeters working at low temperatures widely used in particle physics experiments to search for rare events. These devices are able to detect particles energies from few keV up to several MeV, but their response function is not linear and depends on the operating temperature. This study was performed with the bolometers of the CUORE experiment. In a previous work the non-linearities were attributed to the thermistor and to its biasing circuit and an algorithm was derived to obtain a linear response. In this work an improvement of the algorithm is proposed and the possibility of developing a more complete model of the response function, which accounts for the electrothermal feedback induced by the thermistor, is evaluated

Confinement: G2G_2 group case

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite temperature on the lattice. By studying the finite size scaling of the plaquette, the Polyakov loop and their susceptibilities, we show that a deconfinement phase transition takes place. The analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order. Implications of our findings for scenarios of colour confinement are discussed.Comment: 6 pages, 4 figures, Proceedings of the The XXV International Symposium on Lattice Field Theory, Regensburg August 200

Stable Facts, Relative Facts

We define and characterise two kinds of facts that play a role in quantum theory: stable and relative. We describe how stable facts emerge in a world of relative facts and then discuss the respective roles they play in connecting the theory and the world. The distinction between relative and stable facts resolves the difficulties pointed out by the no-go theorems of Frauchiger and Renner, Brukner, and Bong et. al.. Basing the ontology of the theory on relative facts clarifies the role of decoherence in bringing about the classical world and solves the apparent incompatibility between the linear evolution and projection postulates

Development of Digital Health Gender and Sexual Health Literacy scale

Introduction Health literacy, as the ability to obtain, process and understand health information, including gender and sexuality awareness, appears to be underdeveloped in terms of measurement tools and thematic materials. The literature indicates the existence of serious deficits in gender and sexual health literacy at all levels, with implications for relationships with citizens and patients. Methods Delphi study agreement was conducted and a pool of potential scale items was generated, reflecting a range of skills and abilities within each domain. Items were carefully worded to ensure clarity, cultural sensitivity and relevance to different gender identities and sexual orientations. Expert review and cognitive pre-testing were employed to refine item wording, assess content validity, and ensure that the 10-item scale was comprehensible and relevant to the target population. Results The theoretical development of the 10-item Digital Health Gender and Sexual Health Literacy Scale was successfully completed. The scale items were designed to provide a comprehensive measure of an individual’s ability to navigate the digital landscape for gender and sexual health information. Conclusions The theoretical validation of the Digital Health Gender and Sexual Health Literacy Scale (DiGeSHeL) provides the community with a promising tool to assess individuals’ confidence and ability to use digital technologies for sexual health information and resources. However, further research is needed to validate the scale and test its reliability with a diverse group of participants. Once validated, this scale could be a valuable tool for sexual health promotion programmes to identify gaps and evaluate the impact of digital literacy interventions. Key messages • Gender and sexual literacy are crucial for health. • Health literacy as six vital sign