On the vanishing of weight one Koszul cohomology of abelian varieties

In this Note we prove the vanishing of (twisted) Koszul cohomology groups $K_{p,1}$ of an abelian variety with values in powers of an ample line bundle. It complements the work of G. Pareschi on the property $(N_p)$.Comment: 11 page

Derived equivalence and fibrations over curves and surfaces

We prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes of fibrations of a smooth projective complex variety onto smooth curves of genus g>1. Moreover we extend this invariance to special classes of fibrations over higher-dimensional bases.Comment: 14 pages, comments welcome. v2: Exposition improved, added reference

Empirical Scenarios of Fake Data Analysis: The Sample Generation by Replacement (SGR) Approach

Many self-report measures of attitudes, beliefs, personality, and pathology include items whose responses can be easily manipulated or distorted, as an example in order to give a positive impression to others, to obtain financial compensation, to avoid being charged with a crime, to get a job, or else. This fact confronts both researchers and practitioners with the crucial problem of biases yielded by the usage of standard statistical models. The current paper presents three empirical applications to the issue of faking of a recent probabilistic perturbation procedure called Sample Generation by Replacement (SGR; Lombardi and Pastore, 2012). With the intent to study the behavior of some statistics under fake perturbation and data reconstruction processes, ad-hoc faking scenarios were implemented and tested. Overall, results proved that SGR could be successfully applied both in the case of research designs traditionally proposed in order to deal with faking (e.g., use of fake-detecting scales, experimentally induced faking, or contrasting applicants vs. incumbents), and in the case of ecological research settings, where no information as regards faking could be collected by the researcher or the practitioner. Implications and limitations are presented and discussed