1,721,029 research outputs found
Canonical heights for plane polynomial maps of small topological degree
No full textWe study canonical heights for
plane polynomial mappings of small topological degree.
In particular, we prove that for points of canonical height zero,
the arithmetic degree is bounded by the topological degree and hence
strictly smaller than the first dynamical degree.
The proof uses the existence, proved by Favre and the first author,
of certain compactifications of the plane adapted to the dynamics
Computing residue currents of monomial ideals using comparison formulas
No full textGiven a free resolution of an ideal of holomorphic functions, one can construct a vector-valued residue current, , which coincides with the classical Coleff-Herrera product if is a complete intersection ideal and whose annihilator ideal is precisely . We give a complete description of in the case when is an Artinian monomial ideal and the resolution is the hull resolution (or a more general cellular resolution), extending previous results by the second author. The main ingredient in the proof is a comparison formula for residue currents due to the first author
On weighted Bochner-Martinelli residue currents
No full textWe study the weighted Bochner-Martinelli residue current associated with a sequence of holomorphic germs at , whose common zero set equals the origin, and . Our main results are a description of in terms of the Rees valuations of the ideal generated by and an explicit description of when is monomial. For a monomial sequence we show that is independent of if and only if is a regular sequence
Residue Currents Constructed from Resolutions of Monomial Ideals
No full textGiven a free resolution of an ideal J of holomorphic functions, one can construct a vector-valued residue current R, whose annihilator is precisely J. In this paper we compute R in case J is a monomial ideal and the resolution is a cellular resolution in the sense of Bayer and Sturmfels. A description of R is given in terms of the underlying polyhedral cell complex and it is related to irreducible decompositions of J
A Note on the Singularities of Residue Currents of Integrally Closed Ideals
Get PDFGiven a free resolution of an ideal a of holomorphic functions, there is an associated residue current R that coincides with the classical Coleff-Herrera product if a is a complete intersection ideal and whose annihilator ideal equals a. In the case when a is an Artinian monomial ideal, we show that the singularities of R are small in a certain sense if and only if a is integrally closed
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe 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
Get PDF“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
Get PDFWe 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
Stabilization of monomial maps in higher codimension
Get PDFA monomial self-map on a complex toric variety is said to be -stable if the action induced on the -cohomology is compatible with iteration. We show that under suitable conditions on the eigenvalues of the matrix of exponents of , we can find a toric model with at worst quotient singularities where is -stable. If is replaced by an iterate one can find a -stable model as soon as the dynamical degrees of satisfy . On the other hand, we give examples of monomial maps , where this condition is not satisfied and where the degree sequences do not satisfy any linear recurrence. It follows that such an is not -stable on any toric model with at worst quotient singularities
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