1,721,080 research outputs found
A support theorem for Hilbert schemes of planar curves, II
Full text linkWe study the cohomology of Jacobians and Hilbert schemes of points on reduced and locally planar curves, which are however allowed to be singular and reducible. We show that the cohomologies of all Hilbert schemes of all subcurves are encoded in the cohomologies of the fine compactified Jacobians of connected subcurves, via the perverse Leray filtration. We also prove, along the way, a result of independent interest, giving sufficient conditions for smoothness of the total space of the relative compactified Jacobian of a family of locally planar curves
Ramification groups and Artin conductors of radical extensions of
No full textWe study the ramification properties of the extensions Q(03B6m, m~03B1)/Q under the hypothesis that m is odd and if
p| m than either p vp (a) or pvp(m)| vp(03B1) (vp(03B1) and vp(m) are
the exponents with which p divides a and m). In particular we
determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois
group. As an application, we give formulas for the p-adique valuation of the discriminant of the studied global extensions with
m =Pr
NOCIRC of Italy: Scientific activities 2006-2009
No full textAs the majority of Italians are not circumcised, the knowledge of the various aspects of male circumcision (MC) is lacking. The waves of immigrants from Muslim countries presented various problems concerning ritual MC, among them the fact that an ambiguous legislation enabled fraudulent use of National Health Services (NHS) funding, as ritual MCs were falsely labelled as being therapeutic in order to have them performed for free under the NHS. To better understand MC in Italy, during the last three years, different graduation theses supervised by the author permitted the gathering of: (a) epidemiological data to update the first epidemiological survey on the topic, (b) the attitudes of 173 Italian urologists toward MC, that were assessed by means of a questionnaire during a national medical congress. A previous thesis allowed (c) the production of the questionnaire administered to these professionals and, finally, (d) interviews were carried out. They were performed in the 15 health facilities supposed to carry out ritual MC, in order to build a map of these facilities in Italy and to better understand the underlying motivations and implications. Data confirm the fact that MC in Italy exists as a delicate, underground, and multifaceted problem. It appears that, behind the scenes, not only unnecessary interventions are performed but also that legal violations are common
On the first steps of the minimal model program for the moduli space of stable pointed curves
No full textThe aim of this paper is to study all the natural first steps of the minimal model program for the moduli space of stable pointed curves. We prove that they admit a modular interpretation, and we study their geometric properties. As a particular case, we recover the first few Hassett-Keel log canonical models. As a by-product, we produce many birational morphisms from the moduli space of stable pointed curves to alternative modular projective compactifications of the moduli space of pointed curves
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