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An analytical translation of a criterion of Welters and its relation with the KP-hierarchy
Divisors in the moduli spaces of curves
We describe how one can calculate the first and second rational (co)homology groups of the moduli spaces of smooth or stable n-pointed curves of any genus using only relatively simple algebraic geometry and Harer's vanishing theorem. In particular, we give a new proof of Harer's theorem describing the second cohomology group of the moduli space of n-pointed smooth curves of given genus. The idea is to use Deligne's Gysin spectral sequence, applied to the pair consisting of the moduli space of stable n-pointed curves and its Deligne-Mumford boundary. This is possible since, from the point of view of orbifolds, the boundary is a divisor with normal crossings in moduli. Roughly speaking, the Gysin spectral sequence calculates the cohomology of the open moduli space in terms of the cohomology of the strata of the stratification of the moduli space of stable n-pointed curves by "multiple intersections" of local components of the boundary. Knowing the first and second cohomology groups of the moduli spaces of stable n-pointed curves makes it possible to explicitly compute the low terms of the spectral sequence, and to conclude
Opere matematiche : memorie e note. 4 : 1931-1952, appendice
Castelnuovo's mathematical papers from 1885 to his death in 1952 are collected in the four volumes of "Opere matematiche di Guido Castelnuovo. Memorie e Note". His works are chronologically arranged and each article is implemented by a complete Bibliography gathering Caselnuovo's all quotations. The publication began at 2002 and was completed in 2007.
The forth volume collected his mathematical papers from 1931 to 1952. In the appendix to this volume the editors have tried to divide Castelnuovo's published documents according to subject matters to illustrate his cultural, institutional and political engagement. These documents are arranged in nine sections introduced by editorial notes
Opere matematiche : memorie e note. 3 : 1907-1930
Castelnuovo's mathematical papers from 1885 to his death in 1952 are collected in the four volumes of "Opere matematiche di Guido Castelnuovo. Memorie e Note". His works are chronologically arranged and each article is implemented by a complete Bibliography gathering Castelnuovo's all quotations. The publication began at 2002 and was completed in 2007.
The third volume of "Opere matematiche di Guido Castelnuovo" collected his mathematical papers from 1907 to 1930
Going Beyond Counting First Authors in Author Co-citation Analysis
The 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
“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
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