Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userErnest Borisovich Vinberg
173
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
The article is a report on the biography and achievements of Ernest Borisovich Vinberg, an outstanding Russian mathematician, who passed away in Moscow on May 12, 2020. We discuss his contributions to various areas of mathematics such as Riemannian and Lobachevsky geometries, homogeneous convex cones, Lie groups and Invariant theory, equivariant symplectic geometry and Poisson structures.
rate research
Read More
This article is a collection of several memories for a special issue of SIGMA devoted to Dmitry Borisovich Fuchs.
The main focus of this paper is on models of quartic surfaces, especially so-called complex surfaces. These are special fourth-degree surfaces that Julius Plucker introduced in the 1860s for visualizing the local structure of a quadratic line complex. Pluckers complex surfaces turned out to be closely related to Kummer surfaces and both of these types of quartics are examples of caustic surfaces, which arise in geometrical optics. Indeed, Kummer surfaces represent a natural generalization of the wave surface, first introduced by Augustin Fresnel to explain double refraction in biaxial crystals.
This is an English translation of Nikolai Chebotaryovs paper Die Probleme der modernen Galoisschen Theorie from 1932. An excerpt from this paper was given as a lecture at the International Congress of Mathematicians in Zurich in 1932. With the lecture being given to commememorate the centennial of Evariste Galois death, the paper is a broad survey of various contemporary problems in Galois Theory the author found represented the culminations of work done by Galois and his successors.
This is an English translation of G.N. Chebotarevs classical paper On the Problem of Resolvents, which was originally written in Russian and published in Vol. 114, No. 2 of the Scientific Proceedings of the V.I. Ulyanov-Lenin Kazan State University. In this paper, Chebotarev extends the method in Wimans On the Application of Tschirnhaus Transformations to the Reduction of Algebraic Equations to argue that the general polynomial of degree 21 admits a solution using algebraic functions of at most 15 variables. However, his and Wimans proofs assume that certain intersections in affine space are generic without proof.
This is an English translation of Felix Kleins paper Ueber die Transformation elfter Ordnung der elliptischen Functionen from 1879.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
