1,720,966 research outputs found
On a generalization of affinoid varieties
Full text linkIn this thesis we develop the foundations for a theory of analytic geometry over a valued field, uniformly encompassing the case when the base field is equipped with a non-archimedean valuation and the case when it has an archimedean one. We will use the efficient language of bornological algebras to reach this goal. Since, at our knowledge, there is not a strong literature on bornological algebras on which we can base our results, we need to start from scratch with theory of bornological algebras and we develop it as far as we need for our scope. In this way
we can construct our theory of analytic spaces taking as building blocks affinoid dagger algebras, i.e. bornological algebras isomorphic to quotients of the algebras of germs of analytic functions on polycylinders. It turns out that we can show for the category of dagger affinoid algebras the analogous of all the main results of the category of affinoid algebras and hence we obtain a good theory of dagger affinoid spaces, which behave very similarly to affinoid spaces used to construct rigid analytic spaces.
We underline that the archimedean case has special features that we study in the first section of the fifth chapter, and that these special properties enable us to prove the generalization, in archimedean context, of the main result of affinoid algebras theory: the Gerritzen-Grauert theorem (we remark that our proof is inspired by the new proof of Gerritzen-Grauert theorem in Berkovich geometry given by Temkin).
With a good affine theory at our disposal we end this thesis by constructing the global theory of dagger analytic spaces. We use the theory of Berkovich nets and hence a Berkovich-like approach to the globalization. In this way we obtain the category of dagger analytic spaces and we study the relations of the spaces we found with the ones already present in literature. In particular we see that our spaces are very strongly related to dagger spaces of Grosse-Klonne, and that, in the archimedean case, the category of classical complex analytic spaces embeds fully faithfully in the category of complex dagger analytic spaces.
In conclusion, in this work we obtain a complete affinoid theory of dagger spaces over any valued field and we show that on this theory can be developed a good theory of dagger analytic spaces, which deserves to be strengthened in the future
Invariant States on Noncommutative Tori
No full textFor any number h such that ħ:=h/2π is irrational and any skew-symmetric, non-degenerate bilinear form σ:Z2g×Z2g→Z, let be hg,σ be the twisted group ∗-algebra C[Z2g] and consider the ergodic group of ∗-automorphisms of hg,σ induced by the action of the symplectic group Sp(Z2g,σ). We show that the only Sp(Z2g,σ)-invariant state on hg,σ is the trace state τ
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Introduction to Derived Algebraic Geometry
No full textopenDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical algebra and reached its modern form in the contributions of Toën–Vezzosi and Lurie. Within this framework, model categories, -categories, and Grothendieck topoi combine to provide a language capable of coherently encoding algebraic, geometric, and homotopical information. This thesis introduces the foundations of the subject, emphasizing the role of homotopical algebraic contexts, -topoi, and the cotangent complex as central tools in the study of moduli problems and derived structures
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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