On contractible curves on normal surfaces
نویسندگان
چکیده
منابع مشابه
On contractible curves on normal surfaces
We give characterizations of contractible curves on proper normal algebraic surfaces in terms of complementary Weil divisors. From this we obtain some generalizations of the classical criteria for contractibility of Castelnuovo and Artin. Furthermore, we will derive a finiteness result on homogeneous spectra defined by Weil divisors on proper normal algebraic surfaces.
متن کاملCurves on Normal Surfaces
We study locally Cohen-Macaulay space curves lying on normal surfaces. We prove some theorems on the behaviour of the cohomology functions and initial ideals of such space curves, which give a basic distinction between those curves and curves lying on non-normal surfaces. A natural step in the study and classification of space curves is to classify the Hilbert functions of space curves, or, mor...
متن کاملFrom Normal Surfaces to Normal Curves to Geodesics on Surfaces
Motivated by the topological theory of normal surface we give in this paper a complete study of the relations between geodesic curves and normal curves embedded in a triangulated Riemannian surface. Normal surface theory is a topological piecewise linear (p` for short) counterpart of the differential geometric theory of minimal surfaces. This theory studies the ways surfaces intersect with a gi...
متن کاملConsequences of Contractible Geodesics on Surfaces
The geodesic flow of any Riemannian metric on a geodesically convex surface of negative Euler characteristic is shown to be semi-equivalent to that of any hyperbolic metric on a homeomorphic surface for which the boundary (if any) is geodesic. This has interesting corollaries. For example, it implies chaotic dynamics for geodesic flows on a torus with a simple contractible closed geodesic, and ...
متن کاملOn the normal parametrization of curves and surfaces
A set of parametric equations of an algebraic curve or surface is called normal, if all the points of the curve or the surface can be given by the parametric equations. In this paper, we present a method to decide whether a set of parametric equations is normal. In addition, we give some simple criteria for a set of parametric equations to be normal. As an application, we present a method to fi...
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: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2000
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2000.057