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KIAM Preprint № 83, Moscow, 2014
Authors: Batkhin A. B., Bruno A. D.
On investigation of the certain real algebraic surface
Abstract:
We provide the description of the certain real algebraic variety in R3. This variety plays an important role in investigation of Einstein's metrics, which evolution is studied by the normalized Ricci flow. We provide the description of the all singular points of the variety. All computations in the preprint were done with the help of computer algebra algorithms, in particular with the help of Grobner basis and algorithms of polynomial ideals. We stated and proved an auxiliary result on the structure of the discriminant surface of the cubic polynomial.
Keywords:
Ricci flow, real algebraic surface, singular point
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Batkhin Alexander Borisovich,  orcid.org/0000-0001-8871-4697KIAM RAS
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS