Local Geometry of Planar Analytic Morphisms
نویسندگان
چکیده
منابع مشابه
Local Geometry of Singular Real Analytic Surfaces
Let V ⊂ R be a compact real analytic surface with isolated singularities, and assume its smooth part V0 is equipped with a Riemannian metric that is induced from some analytic Riemannian metric on R . We prove: 1. Each point of V has a neighborhood which is quasi-isometric (naturally and ’almost isometrically’) to a union of metric cones and horns, glued at their tips. 2. A full asymptotic expa...
متن کاملTwo Lemmas in Local Analytic Geometry
We prove two results about the local properties of generically one to one analytic mappings. Version: .76; Revised: 12–15–98; Run: March 23, 1999 §1: Introduction In this paper we consider two local properties of analytic maps which are generically one to one. First we consider holomorphic maps from open sets in C which behave locally like monoidal transformations: Let (z, w) denote coordinates...
متن کاملLecture Notes on Local Analytic Geometry
The aim of the CIMPA-ICTP-UNESCO-MESR-MICINN-PAKISTAN Research School on Local Analytic Geometry at Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan (organized by A. D. Choudary, Alexandru Dimca and Gerhard Pfister) was to introduce the participants to local analytic geometry and related topics. A basis of the course was the book entitled Local Analytic Geometry (cf. ...
متن کاملThe Geometry of Harmonic Maps and Morphisms
We give a survey of harmonic morphisms between Riemannian manifolds, concentrating on their construction and relations with the geometry of foliations.
متن کاملLocal Cohomology and Pure Morphisms
We study a question raised by Eisenbud, Mustaţǎ, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answers to this question which extend earlier results of Lyubeznik. In the process, we also prove a vanishing theorem for local cohomology modules which connects theorems previously known in the case of positive characteris...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2007
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2007.v11.n3.a3