88 research outputs found
Hypergeometric decomposition of symmetric K3 quartic pencils
We study the hypergeometric functions associated to five one-parameter
deformations of Delsarte K3 quartic hypersurfaces in projective space. We
compute all of their Picard--Fuchs differential equations; we count points
using Gauss sums and rewrite this in terms of finite field hypergeometric sums;
then we match up each differential equation to a factor of the zeta function,
and we write this in terms of global L-functions. This computation gives a
complete, explicit description of the motives for these pencils in terms of
hypergeometric motives.Comment: 70 pages, minor revision, to appear in Research in the Mathematical
Science
Um estudo sobre a vitimologia e a omissĂŁo do estado frente Ă famĂlia da vĂtima do crime de homicĂdio
O presente estudo trata dos direitos das famĂlias das vĂtimas do crime de homicĂdio e da responsabilidade do Estado frente aos danos materiais, fĂsicos, psicolĂłgicos e sociais causados Ă quelas pessoas em razĂŁo da morte do seu familiar. O objetivo principal Ă© verificar a atuação estatal frente Ă s necessidades de amparo dos vitimados, partindo-se das premissas da Vitimologia, que aprofunda questões relacionadas Ă personalidade da vĂtima, a dinâmica da relação vĂtima e delinquente e a reparação do dano causado a ela. Diante do elevado nĂşmero de homicĂdios registrados no paĂs, faz-se necessária atenção quanto Ă responsabilidade do Estado pela indenização Ă s vĂtimas desses crimes, visto que esta Ă© uma necessidade de justiça e de respeito Ă dignidade humana
ORGANIZATIONAL STRUCTURES TO SUPPORT INNOVATION: HOW DO COMPANIES DECIDE?
The purpose of this work is to discuss the issue of how companies aiming to increase their innovative capacity should decide about their organizational structure. To accomplish this goal, a bibliographic review about the theme was carried out, as well as an exploratory research, conducted by case study in a Brazilian petrochemical company that had recently re-organised its structure regarding innovative activities. The results suggest that the studied company decided upon its organisational structure without considering the whole process of innovation, focusing efforts only on the Research and Development area. Its organizational structure is still based on traditional forms, with centralized decisions and well demarcated functions. A more “adhocratic” structure, considering innovation as an integrated process would foster the company innovative capacity in the future.The purpose of this work is to discuss the issue of how companies aiming to increase their innovative capacity should decide about their organizational structure. To accomplish this goal, a bibliographic review about the theme was carried out, as well as an exploratory research, conducted by case study in a Brazilian petrochemical company that had recently re-organised its structure regarding innovative activities. The results suggest that the studied company decided upon its organisational structure without considering the whole process of innovation, focusing efforts only on the Research and Development area. Its organizational structure is still based on traditional forms, with centralized decisions and well demarcated functions. A more “adhocratic” structure, considering innovation as an integrated process would foster the company innovative capacity in the future
Zeta functions of alternate mirror Calabi–Yau families
We prove that if two Calabi-Yau invertible pencils have the same dual weights, then they share a common factor in their zeta functions. By using Dwork cohomology, we demonstrate that this common factor is related to a hypergeometric Picard–Fuchs differential equation. The factor in the zeta function is defined over the rationals and has degree at least the order of the Picard–Fuchs equation. As an application, we relate several pencils of K3 surfaces to the Dwork pencil, obtaining new cases of arithmetic mirror symmetry
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