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Complex Points of Two-Dimensional Surfaces
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T. Aliashvili
Published/Copyright:
March 3, 2010
Abstract
We deal with complex points of two-dimensional surfaces. A short review of basic results about complex points of smooth surfaces in 
is presented at the beginning. For algebraic surfaces, a formula is proved which expresses the number of complex points as the local degree of an explicitly constructible polynomial endomorphism.
Received: 2004-03-26
Published Online: 2010-03-03
Published in Print: 2004-December
© Heldermann Verlag
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- On Homology and Cohomology Groups of Remainders
- Strong Homology Theories as Localizations
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- Polytopes and 𝐾-Theory
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- Minimal Free Multi-Models for Chain Algebras
- On Generalized Step-Functions and Superposition Operators
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Keywords for this article
Surface;
grassmannian;
complex point;
Euler characteristic;
mapping degree
Articles in the same Issue
- Complex Points of Two-Dimensional Surfaces
- On Homology and Cohomology Groups of Remainders
- Strong Homology Theories as Localizations
- Extensions with Abelian Kernels in Protomodular Categories
- Polytopes and 𝐾-Theory
- Mappings Confluent over Locally Connected Continua
- Equicontinuity and Quasi-Uniformities
- Witt's Theorem for Groups with Action and Free Leibniz Algebras
- Connectedness of a Fine Topology and Localization in Bitopological Spaces
- Minimal Free Multi-Models for Chain Algebras
- On Generalized Step-Functions and Superposition Operators
- New Applications of Algebraic Formulae for Topological Invariants
- On the Shape of Regularly Movable Compacta
- Generalized Heisenberg Groups and Shtern's Question
- More on Descent Theory for Schemes
