In search of mathematical primitives for deriving universal projective hash families

We provide some guidelines for deriving new projective hash families of cryptographic interest. Our main building blocks are so called group action systems; we explore what properties of this mathematical primitives may lead to the construction of cryptographically useful projective hash families. We point out different directions towards new constructions, deviating from known proposals arising from Cramer and Shoup's seminal work.

Mixed Hodge structures and vector bundles on the projective Plane I

We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this correspondence and apply it to define stratifications of the bases of the variations of mixed Hodge structure.

Diophantine approximation on projective varieties I: algebraic distance and metric Bézout theorem

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Projective modules over the Gerasimov-Sakhaev counterexample

We investigate the structure of the so-called Gerasimov- Sakhaev counterexample, which is a particular example of a universal localization, and classify (both finitely and infinitely generated) projective modules over it.

Counting polygon dissections in the projective plane

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Rigid flat webs on the projective plane

This paper studies global webs on the projective plane with vanishing curvature. The study is based on an interplay of local and global arguments. The main local ingredient is a criterium for the regularity of the curvature at the neighborhood of a generic point of the discriminant. The main global ingredient, the Legendre transform, is an avatar of classical projective duality in the realm of differential equations. We show that the Legendre transform of what we call reduced convex foliations are webs with zero curvature, and we exhibit a countable infinity family of convex foliations which give rise to a family of webs with zero curvature not admitting non-trivial deformations with zero curvature.

Hearing loss in Adult Women with Turner Syndrome

L'objectiu d'aquest estudi és definir els patrons d’hipoacúsia en dones amb Síndrome de Turner i els possibles factors que poden afavorir el desenvolupament d’hipoacúsia neurosensorial en dones adultes amb Síndrome de Turner. Es va trobar que més de la meitat de les dones amb Sindrome de Turner presenten hipoacúsia a l’audiometria, confirmat pels potencials evocats auditius de tronc; la hipoacúsia neurosensorial és el tipus de pèrdua d'audició més freqüent entre dones de mitjana edat amb síndrome de Turner i l'edat, el cariotip i la història prèvia d'otitis mitja recurrent són possibles factors de risc per l’aparició d’hipoacúsia en aquestes pacients.

Unstable equilibrium: young adult women in family and career formation in Southern Europe

The paper examines the relationship between family formation (i.e., living with a partner and having children) and women’s occupational career in southern Europe (i.e., Greece, Italy, Portugal and Spain). The relationship is explored by analysing the impact that different family structures and male [nvolvement in caring activities have on women’s early occupational trajectories (i.e., remaining in the same occupational status, experiencing downward or upward mobility, or withdrawing from paid work). This research shows that male involvement in caring activities does not really push women ahead in their career, but the absolute lack of male support seems to negatively affect women’s permanence in paid work. These results apply to all southern European countries except Portugal, where the absolute absence of the partners’ support in caring activities does not seem to alter women’s determination to remain in paid work. The methodology applied consists of the estimation of multinomial logit regression models and the analysis is based on eight waves (1994-2001) of the European Community Household Panel (ECHP).

Personal and household care giving for adult children to parents and social stratification

Using SHARE database the paper explores the factors conditioning personalcare giving from adult children to their parents. Frequency and intensity ofpersonal care is contrasted with the reciprocal expectations that children haveabout wealth inheritance from their parents and with the opportunity costs of helping, as well as with the capacity of parents of getting help from othersources of personal care. The results may help to understand how inequalitiesin accessing to formal services relate with intergenerational solidarity.

Do welfare benefits affect womens' choices of adult care giving?

The efficacy of social care, publicly and universally provided, has been contested from two different points of view. First, advocates of targeting social policy criticized the Matthew’s effect of universal provision and; second, theories arguing in favour of heterogeneous rationalities between men and women and, even different preferences among women, predict that universal provision of services is limiting women’s choices more than home allowances. The author tests both hypotheses and concludes that, at least in the case of adult care, women’s choices are significantly affected by women’s social positions and by the availability of public services. Furthermore, targeting through means-test eligibility criteria has no significant effect on inequality but, confirming the redistributive paradox, reduces women’s options.

Women's employment and the adult caring burden

Demographic ageing is increasing pensions, health and social services spending and threatening the future balance of public budgets. Providing home care can help to curb health expenditure and it may improve elderly welfare also, but EU states have chosen different policies in providing home are. Main differences are related with source of financing and eligibility criteria but also with the kind of benefits (benefits in cash or in kind). How these different options affect welfare and carers’ employment opportunities is the core of this research. Home care growth is going to be more efficient as far as it pro motes employment and, public revenues consequently. Using microdata from the European Community Household Panel, British and Spanish means tested programs are compared with German and Austrian ‘in cash’ benefits, and with Danish ‘in kind’ benefits also. The results show that Danish policies are the most efficient and equitable while the British and Spanish ones are the worst.

The evolution of adult height in Europe: A brief note

This paper presents new evidence on the evolution of adult height in 10 Europeancountries for cohorts born between 1950 and 1980 using the European CommunityHousehold Panel (ECHP), which collects height data from Austria, Belgium, Denmark,Finland, Greece, Ireland, Italy, Portugal, Spain and Sweden. Our findings show agradual increase in adult height across all countries. However, countries from SouthernEurope (Greece, Italy, Portugal, Spain) experienced higher gains in stature than thoselocated in Northern Europe (Austria, Belgium, Denmark, Finland, Ireland and Sweden).

The marginal propensity to spend on adult children

We examine how much of an extra dollar of parental lifetime resources willultimately be passed on to adult children in the form of inter vivostransfers and bequests. We infer bequests from the stock of wealth late inlife. We use mortality rates and age specific estimates of the response oftransfers and wealth to permanent income to compute the expected presentdiscounted values of these responses to permanent income. Our estimatesimply parents pass on between 2 and 3 cents out of an extra dollar ofexpected lifetime resources in bequests and about 2 cents in transfers.The estimates increase with parental income and are smaller for nonwhites.They imply that about 15 percent of the effect of parental income onlifetime resources of adult children is through transfers and bequestsand about 85 percent is through the intergenerational correlation inearnings, although these estimates are sensitive to assumptions about theintergenerational earnings correlation, taxes, and the number of children.We compare our estimates to the implications of alternative computablebenchmark models of savings behavior in order to assess the likelyimportance of intended bequests for the wealth/income relationship.

Declining labor force attachment and downward trends in unemployment and participation

The US labor market witnessed two apparently unrelated secular movements in thelast 30 years: a decline in unemployment between the early 1980s and the early 2000s,and a decline in participation since the early 2000s. Using CPS micro data and a stock-flow accounting framework, we show that a substantial, and hitherto unnoticed, factorbehind both trends is a decline in the share of nonparticipants who are at the margin ofparticipation. A lower share of marginal nonparticipants implies a lower unemploymentrate, because marginal nonparticipants enter the labor force mostly through unemployment,while other nonparticipants enter the labor force mostly through employment.