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The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related...
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the geometry of the critical set for all iterates. In dimension 2, the study of the dynamics induced on a suitable functional space (the valuative tree) allows a classification of such maps up to birational conjugacy, reducing the problem to the special class of rigid germs, where the geometry of the critical set is simple. In some cases, from such dynamical data one can construct special compact complex surfaces, called Kato surfaces, related to some conjectures in complex geometry.
New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an “unlikely intersection” statement for such pairs, thereby demonstrating strong rigidity features for them. They further describe one-dimensional families in the moduli space of polynomials containing infinitely many postcritically finite parameters, proving the dynamical André-Oort conjecture for curves in this context, originally stated by Baker and DeMarco. This is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics.
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This carefully crafted ebook collection is formatted for your eReader with a functional and detailed table of contents: Novels: A Search for a Secret All But Lost Out on the Pampas The Young Franc-Tireurs The Young Buglers The Cornet of Horse In Times of Peril Facing Death, The Hero of the Vaughan Pit Winning His Spurs Friends Though Divided Jack Archer Under Drake's Flag By Sheer Pluck With Clive in India In Freedom's Cause St. George For England True to the Old Flag The Young Colonists The Dragon and the Raven For Name and Fame The Lion of the North Through the Fray The Bravest of the Brave A Final Reckoning The Young Carthaginian With Wolfe in Canada Bonnie Prince Charlie For the Temple I...
e-artnow presents to you this meticulously edited G. A. Henty collection: Novels: A Search for a Secret All But Lost Out on the Pampas The Young Franc-Tireurs The Young Buglers The Cornet of Horse In Times of Peril Facing Death, The Hero of the Vaughan Pit Winning His Spurs (Boy Knight) Friends Though Divided Jack Archer Under Drake's Flag By Sheer Pluck With Clive in India In Freedom's Cause St. George For England True to the Old Flag The Young Colonists The Dragon and the Raven For Name and Fame The Lion of the North Through the Fray The Bravest of the Brave A Final Reckoning The Young Carthaginian With Wolfe in Canada Bonnie Prince Charlie For the Temple In the Reign of Terror Orange and ...
DigiCat presents to you this unique historical collection with action adventure tales from all over the world. This carefully crafted and meticulously edited collection is formatted for your eReader with a functional and detailed table of contents: Out on the Pampas The Young Franc-Tireurs The Young Buglers The Cornet of Horse In Times of Peril Winning His Spurs (Boy Knight) Friends Though Divided Jack Archer Under Drake's Flag By Sheer Pluck With Clive in India In Freedom's Cause St. George For England True to the Old Flag The Young Colonists The Dragon and the Raven For Name and Fame The Lion of the North Through the Fray The Bravest of the Brave The Young Carthaginian With Wolfe in Canada...
The three volumes of the proceedings of MG15 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 40 morning plenary talks over 6 days, 5 evening popular talks and nearly 100 parallel sessions on 71 topics spread over 4 afternoons. These proceedings are a representative sample of the very many oral and poster presentations made at the meeting.Part A contains plenary and review articles and the contributions from some parallel sessions, while Parts B and C consist of those from the remaining parallel sessions. The contents range from the mathematical foundatio...
Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. The school consisted of four courses, focusing on both the construction of non-Kähler manifolds and the understanding of a possible classification of complex non-Kähler manifolds. In particular, the courses by Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact complex surfaces and compact Kähler manifolds, respectively. The courses by Sebastien Picard and Sławomir Dinew focused on analytic techniques in Hermitian geometry, more precisely, on special Hermitian metrics and geometric flows, and on pluripotential theory in complex non-Kähler geometry.
The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the fol...