منابع مشابه
Hyperbolic and Diophantine Analysis
In this survey we consider Kobayashi hyperbolicity, in which there is an interplay between five notions: analytic notions of distance and measure; complex analytic notions; differential geometric notions of curvature (Chern and Ricci form); algebraic notions of "general type" (pseudo ampleness); arithmetic notions of rational points (existence of sections). I am especially interested in the rel...
متن کاملDiophantine Analysis and Additive Theory
A summary of research papers presented for the Habilitationsgesuch Preface In total, 11 papers are presented for the Habilitationsgesuch. They can be divided into three big topics. The results of these papers are shortly described below. In this text, I sometimes allow myself to be slightly sloppy in definitions and formulations, to avoid unnecessary technicalities. The papers listed above are ...
متن کاملDiophantine approximation and Diophantine equations
The first course is devoted to the basic setup of Diophantine approximation: we start with rational approximation to a single real number. Firstly, positive results tell us that a real number x has “good” rational approximation p/q, where “good” is when one compares |x − p/q| and q. We discuss Dirichlet’s result in 1842 (see [6] Course N◦2 §2.1) and the Markoff–Lagrange spectrum ([6] Course N◦1...
متن کاملRemark on fundamental groups and effective Diophantine methods for hyperbolic curves
In a few earlier papers ([8], [9], [10]) attention was called to the striking parallel between the ideas surrounding the well-known conjecture of Birch and Swinnerton-Dyer for elliptic curves, and the mysterious section conjecture of Grothendieck [6] that concerns hyperbolic curves. We wish to explain here some preliminary ideas for ‘effective non-abelian descent’ on hyperbolic curves equipped ...
متن کاملresponse articles: micro and macro analysis
the present study reports an analysis of response articles in four different disciplines in the social sciences, i.e., linguistics, english for specific purposes (esp), accounting, and psychology. the study has three phases: micro analysis, macro analysis, and e-mail interview. the results of the micro analysis indicate that a three-level linguistic pattern is used by the writers in order to cr...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1986
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1986-15426-1