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Search Results: 1 - 10 of 3718 matches for " Luisa Fiorot "
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Differential Complexes and Stratified Pro-Modules
Luisa Fiorot
Mathematics , 2007,
Abstract: In this paper we introduce the category of stratified Pro-modules and the notion of induced object in this category. We propose a translation of a Morihiko Saito equivalence result using the dual language of Pro-objects. So we prove an equivalence between the derived category of stratified Pro-modules and the category of Pro-differential complexes. We also supply a comparison with the notion of Crystal in Pro-module (introduced by P. Deligne in 1960).
On derived categories of differential complexes
Luisa Fiorot
Mathematics , 2004,
Abstract: This paper is devoted to the comparison of different localized categories of differential complexes. The first result is that the canonical functor from the category of complexes of differential operators of order one (defined by Herrera and Lieberman) to the category of differential complexes (of any order, defined by M. Saito), both localized with respect to a suitable notion of quasi-isomorphism, is an equivalence of categories. Then we prove a similar result for a filtered version of the previous categories (defined respectively by Du Bois and M.Saito), localized with respect to graded-quasi-isomorphisms, thus answering a question posed by M. Saito.
Algebraic Connections vs. Algebraic {$\cD$}-modules: inverse and direct images
Maurizio Cailotto,Luisa Fiorot
Mathematics , 2007,
Abstract: In the dictionary between the language of (algebraic integrable) connections and that of (algebraic) $\cD$-modules, to compare the definitions of inverse images for connections and $\cD$-modules is easy. But the comparison between direct images for connections (the classical construction of the Gauss-Manin connection for smooth morphisms) and for $\cD$-modules, although known to specialists, has been explicitly proved only recently in a paper of Dimca, Maaref, Sabbah and Saito in 2000, where the authors' main technical tool was M. Saito's equivalence between the derived category of $\cD$-modules and a localized category of differential complexes. The aim of this short paper is to give a simplified summary of the [DMSS] argument, and to propose an alternative proof of this comparison which is simpler, in the sense that it does not use Saito equivalence. Moreover, our alternative strategy of comparison works in a context which is a precursor to the Gauss-Manin connection (at the level of $f^{-1}\cD_Y$-modules, for a morphism $f:X\to Y$), and may be of some intrinsic interest.
Algebraic connections vs. Algebraic $\mathcal D$-modules: regularity conditions
Maurizio Cailotto,Luisa Fiorot
Mathematics , 2015,
Abstract: This paper is devoted to the comparison of the notions of regularity for algebraic connections and (holonomic) regularity for algebraic $\mathcal D$-modules.
Derived equivalences induced by nonclassical tilting objects
Luisa Fiorot,Francesco Mattiello,Manuel Saorín
Mathematics , 2015,
Abstract: Suppose that $\mathcal{A}$ is an abelian category whose derived category $\mathcal{D}(\mathcal{A})$ has $Hom$ sets and arbitrary (small) coproducts, let $T$ be a (not necessarily classical) ($n$-)tilting object of $\mathcal{A}$ and let $\mathcal{H}$ be the heart of the associated t-structure on $\mathcal{D}(\mathcal{A})$. We show that the inclusion functor $\mathcal{H}\hookrightarrow\mathcal{D}(\mathcal{A})$ extends to a triangulated equivalence of unbounded derived categories $\mathcal{D}(\mathcal{H})\stackrel{\cong}{\longrightarrow}\mathcal{D}(\mathcal{A})$. The result admits a straightforward dualization to cotilting objects in abelian categories whose derived category has $Hom$ sets and arbitrary products.
On tilted Giraud subcategories
Riccardo Colpi,Luisa Fiorot,Francesco Mattiello
Mathematics , 2013,
Abstract: Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors and in particular through Giraud subcategories. We apply this point in order to develop a correspondence between Giraud subcategories of an abelian category $C$ and those of its tilt $H(C)$ i.e., the heart of a t-structure on $D(C)$ induced by a torsion pair.
A classification theorem for $t$-structures
Luisa Fiorot,Francesco Mattiello,Alberto Tonolo
Mathematics , 2014,
Abstract: We give a classification theorem for a relevant class of $t$-structures in triangulated categories, which includes in the case of the derived category of a Grothendieck category, the $t$-structures whose hearts have at most $n$ fixed consecutive non-zero cohomologies. Moreover, by this classification theorem, we deduce the construction of the $t$-tree, a new technique which generalises the filtration induced by a torsion pair. At last we apply our results in the tilting context generalizing the $1$-tilting equivalence proved by Happel, Reiten and Smal{\o} [HRS96]. The last section provides applications to classical $n$-tilting objects, examples of $t$-trees for modules over a path algebra, and new developments on compatible $t$-structures [KeV88b], [Ke07].
Competências de ensino: um estudo com professoras no contexto do jogo Traverse
Fiorot, Meire Andersan;Ortega, Antonio Carlos;
Estudos de Psicologia (Natal) , 2007, DOI: 10.1590/S1413-294X2007000300004
Abstract: this research aimed at checking the way teachers teach in a rule game context. the participants were four teachers of the fourth grade of a private primary school in espírito santo state. the procedure of the research was organized within a teaching situation, build up by the stages of instruction and experiment using the traverse game. the study had the additional participation of four children. the results showed that there was predominance of procedures with negative characteristics. the teachers presented some difficulties either at the time of instruction or mediation. based on this observation, we suggest a wider reflection about what is being offered to the teachers in their graduation process, considering that the professionalization requires awareness of one's own learning processes.
A new proposal to evaluate the healing of open skin wounds: volumetry
Paulo, Danilo Nagib Salom?o;Fiorot, Antonio Wilson;
Acta Cirurgica Brasileira , 2011, DOI: 10.1590/S0102-86502011000600003
Abstract: purpose: to present a new proposal to evaluate the healing of an open subcutaneous and skin wound, which we termed "volumetry". methods: a total of 32 circular wounds were performed in the subcutaneous tissues and skin of four feet of pigs (8 each). each wound had about 1 cm in diameter and was 0.2 cm deep. volume was calculated from the wound filled with saline and mass xantopren. with the aid of a magnifying glass and local lighting, the liquid was dripped with a micropipette inside the wound until complete fullness. volume repletion was calculated in microliters, corresponding to the volume of the wound. the mass of xantopren was placed inside the wound to obtain a mold of the lesion. mold volume was calculated using the formula of the volume of a cylinder closest resembling a geometric figure with mold. results: the calculation of wound volume was possible with both xantopren and mold techniques. volume as calculated by micropipette was 119.37 ± 30.87 microliters while the volume calculated by mold was 122.41 ± 33.90 mm3 (p=0.79). conclusions: volumetry in pig feet is simple and reproducible. volumetry perfomed with saline did not differ from the volumetry with mass xantopren. this method may be a useful tool to help evaluate the healing of open skin wounds in experimental and clinical research.
Multiple pregnancies and its relationship with the development of retinopathy of prematurity (ROP)
Motta MMS, Fortes Filho JB, Coblentz J, Fiorot CA
Clinical Ophthalmology , 2011, DOI: http://dx.doi.org/10.2147/OPTH.S25431
Abstract: ltiple pregnancies and its relationship with the development of retinopathy of prematurity (ROP) Original Research (2246) Total Article Views Authors: Motta MMS, Fortes Filho JB, Coblentz J, Fiorot CA Published Date December 2011 Volume 2011:5 Pages 1783 - 1787 DOI: http://dx.doi.org/10.2147/OPTH.S25431 Mário Martins dos Santos Motta1, Jo o Borges Fortes Filho2, Jacqueline Coblentz1, Claudia Amaral Fiorot3 1Department of Ophthalmology, Faculty of Medicine, Federal University of Rio de Janeiro, Rio de Janeiro RJ, Brazil; 2Department of Ophthalmology, Faculty of Medicine, Federal University of Rio Grande do Sul and Hospital de Clínicas de Porto Alegre, Porto Alegre RS, Brazil; 3Hospital Naval Marcílio Dias, Rio de Janeiro RJ, Brazil Background: The influence of multiple gestation on the occurrence of retinopathy of prematurity (ROP) is still not completely understood. Objectives: To verify the incidence of any stage of ROP and threshold ROP in singletons and in multiple gestation among preterm infants. Methods: This was an institutional, prospective, and descriptive cohort study, which included preterm newborns with birth weight (BW) of 1500 g or less and/or gestational age (GA) of 32 weeks or less, as admitted to the neonatal units at Laranjeiras and Amparo Hospitals in Rio de Janeiro, Brazil, between January 2001 and July 2005, and whom remained hospitalized for at least 28 days. There were no exclusion criteria. Patients were divided into two groups: Group 1 included multiples; and Group 2 consisted of singletons. Results: A total of 159 infants that remained in neonatal unit care for at least 28 days were included in this study. Group 1 comprised 56 (35%) multiples; and Group 2 comprised 103 (65%) singletons. Mean BW was 1072 g ± 272 and 1089 g ± 282 in Groups 1 and 2, respectively (analysis of variance [ANOVA] P > 0.05). Mean GA among multiple gestation (Group 1) was 29 weeks ± 2.1; and 29 weeks ± 2.4 among singletons (Group 2) (ANOVA P > 0.05). Days in oxygen therapy ranged from 0 to 188 days. Median among Group 1 was 15 days, while median in Group 2 was 10 days (Kruskal–Wallis P > 0.05). Any stage ROP was detected in 66 (41.5%) of the whole cohort comprising 159 babies. Among the 56 multiples, 30 (53.6%) achieved any stage ROP, and among 103 singletons, 36 (35%) achieved any stage ROP (Chi-square test P < 0.05). Threshold ROP occurred in 12 (7.5%) of the 159 patients included. Three (5.3%) patients from Group 1 and nine (8.7%) patients in Group 2 reached threshold ROP needing laser treatment (Fisher’s exact test P > 0.05). Conclusion: This study showed higher frequency of any stage of ROP in twins and triplets but not regarding threshold disease. Because of the relatively small number of patients in this sample, other studies are necessary to determine if gemelarity plays a role in the occurrence of ROP.
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