Add to ORKGAbstract: 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.Note: Research direction:Mathematical modelling in actual problems of science and technic
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...
Abstract: The certain real algebraic variety Ω in R3is considered. This variety plays an i...
A cubic surface is defined as the set of zeroes of a homogeneous polynomial f of degree three in thr...
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old...
In this paper we describe algorithms to find the shape of a real algebraic curve in P2 and the topol...
International audienceCubic surfaces embedded in complex projective 3-space are a classical illustra...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
AbstractCubic surfaces embedded in complex projective 3-space are a classical illustration of the us...
Algebraic geometry is the study of algebraic varieties, zero sets of systems of polynomial equations...
Algebraic geometry is the study of algebraic varieties, zero sets of systems of polynomial equations...
A classical result due to Segre states that on a real cubic surface in P3 R there exist two kinds of...
An algorithm is proposed to determine the topology of an implicit real algebraic surface in R3. The ...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...
Abstract: The certain real algebraic variety Ω in R3is considered. This variety plays an i...
A cubic surface is defined as the set of zeroes of a homogeneous polynomial f of degree three in thr...
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old...
In this paper we describe algorithms to find the shape of a real algebraic curve in P2 and the topol...
International audienceCubic surfaces embedded in complex projective 3-space are a classical illustra...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
AbstractCubic surfaces embedded in complex projective 3-space are a classical illustration of the us...
Algebraic geometry is the study of algebraic varieties, zero sets of systems of polynomial equations...
Algebraic geometry is the study of algebraic varieties, zero sets of systems of polynomial equations...
A classical result due to Segre states that on a real cubic surface in P3 R there exist two kinds of...
An algorithm is proposed to determine the topology of an implicit real algebraic surface in R3. The ...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ...
The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and H...