1,721,240 research outputs found
Goals
No full textStudy sections and cohomology of holomorphic line bundles L → X on compact Kähler manifolds, without assuming any strict positivity of the curvature Jean-Pierre Demailly – Abel Symposium, July 5, 2013 On the cohomology of pseudoeffective line bundles 2/21[1:2] Goals Study sections and cohomology of holomorphic line bundles L → X on compact Kähler manifolds, without assuming any strict positivity of the curvature Generalize the Nadel vanishing theorem (and therefore Kawamata-Viehweg
Tien-Cuong Dinh - Intersection of positive closed currents: Conference in memory of Jean-Pierre Demailly
No full textIn his article published in the Gazette des Mathématiciens (1991), Jean-Pierre Demailly asked a question about the definition of the intersection of positive closed currents of higher bi-degrees. In this talk, I will discuss some answers to this problem as well as some applications in complex dynamics
Frédéric Touzet - On numerical Bogomolov sheaves: Conference in memory of Jean-Pierre Demailly
No full textNumerical Bogomolov sheaves are rank one coherent subsheaves L of ΩpX having numerical dimension p for some p > 0, and a complex projective (or more generally compact Kähler) manifold X. The existence of L like above determines a distribution D, namely the kernel of L. According to a theorem of Jean-Pierre Demailly, this distribution is actually integrable. The main part of this talk will be devoted to questions (essentially unsolved) concerning the structure of this foliation and are motivated on one hand by some results concerning the case p=1, on the other hand by a recent joint work with Benoît Claudon
STABILITY OF SOLUTIONS TO COMPLEX MONGE-AMPERE FLOWS
No full textWe establish a stability result for elliptic and parabolic complex Monge-Ampère equations on compact Kähler manifolds, which applies in particular to the Kähler-Ricci flow. Dedicated to Jean-Pierre Demailly on the occasion of his 60th birthday
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
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