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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
The Bochner-Hartogs dichotomy for bounded geometry hyperbolic K√§hler manifolds
The main result is that for a connected hyperbolic complete K\"ahler manifold
with bounded geometry of order two and exactly one end, either the first
compactly supported cohomology with values in the structure sheaf vanishes or
the manifold admits a proper holomorphic mapping onto a Riemann surface
Strong q-convexity in uniform neighborhoods of subvarieties in coverings of complex spaces
The main result is that, for any projective compact analytic subset A of
dimension q>0 in a reduced complex space X, there is a neighborhood U of A such
that, for any covering space Z of X in which the lifting B of A has no
noncompact connected analytic subsets of pure dimension q with only compact
irreducible components, there exists a smooth exhaustion function on Z which is
strongly q-convex on the lifting of U outside a uniform neighborhood of the
q-dimensional compact irreducible components B
Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups
The main goal of this paper is to prove that a connected bounded geometry
complete Kahler manifold which has at least 3 filtered ends admits a proper
holomorphic mapping onto a Riemann surface. This also provides a different
proof of the theorem of Gromov and Schoen that, for a connected compact Kahler
manifold whose fundamental group admits a proper amalgamated product
decomposition, some finite unramified cover admits a surjective holomorphic
mapping onto a curve of genus at least 2. The main results are also used to
show that any properly ascending HNN extension with finitely generated base
group, as well as Thompson\u27s groups V, T, and F, are not Kahler. This version
contains details which will not appear in a version submitted for publication
Elementary construction of subharmonic exhaustion functions
By a theorem of Greene and Wu, a noncompact connected Riemannian manifold
admits a smooth strictly subharmonic exhaustion function. Demailly provided an
elementary proof of this fact. A further simplification of Demailly\u27s proof and
some (mostly known) applications are described. Applications include the fact
that the holomorphic line bundle associated to a nontrivial effective divisor
on a compact connected complex manifold admits a smooth Hermitian metric with
positive scalar curvature
A cup product lemma for continuous plurisubharmonic functions
A version of Gromov\u27s cup product lemma in which one factor is the (1,0)-part
of the differential of a continuous plurisubharmonic function is obtained. As
an application, it is shown that a connected noncompact complete Kaehler
manifold that has exactly one end and admits a continuous plurisubharmonic
function that is strictly plurisubharmonic along some germ of a 2-dimensional
complex analytic set at some point has the Bochner-Hartogs property; that is,
the first compactly supported cohomology with values in the structure sheaf
vanishes
Thompson\u27s Group F is Not Kahler
The purpose of this note is to prove that Richard Thompson\u27s group F and
variants of it studied by Ken Brown are not Kahler groups
L^2 Castelnuovo-de Franchis, the cup product lemma, and filtered ends of Kaehler manifolds
Simple approaches to the proofs of the L^2 Castelnuovo-de Franchis theorem
and the cup product lemma which give new versions are developed. For example,
suppose u and v are two linearly independent closed holomorphic 1-forms on a
bounded geometry connected complete Kaehler manifold X with v in L^2. According
to a version of the L^2 Castelnuovo-de Franchis theorem obtained in this paper,
if u and v are pointwise linearly dependent, then there exists a surjective
proper holomorphic mapping of X onto a Riemann surface for which u and v are
pull-backs. Previous versions required both forms to be in L^2
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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