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On Local Invariants of Totally Real Surfaces
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G. Khimshiashvili
Published/Copyright:
February 23, 2010
Abstract
A class of totally real surface singularities is introduced for which one can define local topological invariants. The main result yields an algebraic estimate for the self-intersection index of a totally real germ. It is derived from an algebraic upper estimate for the index of a quasi-homogeneous vector field which generalizes the previously known estimates in terms of the so-called Petrovsky numbers.
Key words and phrases:: Totally real surface; linking number; self-intersection index; local algebra; signature technique; Petrovsky numbers
Received: 2000-09-22
Published Online: 2010-02-23
Published in Print: 2001-March
© Heldermann Verlag
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Keywords for this article
Totally real surface;
linking number;
self-intersection index;
local algebra;
signature technique;
Petrovsky numbers
Articles in the same Issue
- Polymersions of a Disk with Critical Points on the Boundary
- A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations
- Non-Noether Symmetries in Singular Dynamical Systems
- Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type
- Perturbation of a Fredholm Complex by Inessential Operators
- Weighted Exponential Inequalities
- On the Representation of Numbers by the Direct Sums of Some Quaternary Quadratic Forms
- On Local Invariants of Totally Real Surfaces
- On the Number of Representations of Positive Integers by the Quadratic Form
- Derivative Uniform Sampling via Weierstrass σ(z). Truncation Error Analysis in
- On Periodic Solutions of Autonomous Difference Equations
- Inequalities of Calderon–Zygmund Type for Trigonometric Polynomials
- Hilbert Spaces Formed by Strongly Harmonizable Stable Processes
- Optimal Mean-Variance Robust Hedging under Asset Price Model Misspecification
