Classification of algebraic complex surfaces

Andrey A. Krylov; Vladimir M. Degtyarev

doi:10.1117/12.518092

10 October 2003 Classification of algebraic complex surfaces

Andrey A. Krylov, Vladimir M. Degtyarev

Proceedings Volume 5127, Sixth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2003) https://doi.org/10.1117/12.518092
Event: Sixth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2002, St. Petersburg, Russian Federation

Abstract

With the help of algebraic equations it is possible to describe large variety of geometrical surfaces. The algebraic linear equation describes a plane. This equation at any value of factors has the real solution. The algebraic equation of the second degree describes 17 types of surfaces, from which one 5 types imaginery. How many types of a surface can be described by an equation by third and more degrees do not know. For operational use of the description of surfaces with the help of algebraic equations by third and more degrees are necessary for establishing classification of actual surfaces and to determine imaginary areas. In the given activity the methods for realization of such classification and attempt are offered to execute classification for surfaces of the third degree.

Citation Download Citation

Andrey A. Krylov and Vladimir M. Degtyarev "Classification of algebraic complex surfaces", Proc. SPIE 5127, Sixth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (10 October 2003); https://doi.org/10.1117/12.518092

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