First, the life story of Ahmadov
Ahmadov was born in Moscow. His father is a famous mathematician. He studied mathematics at Moscow University, and received his doctorate at 1935. After that, he worked in mathematics research at Moscow University until his death.
Ahmadov has made great achievements in the field of mathematics, and his main research field is algebraic geometry. His research results are widely used in mathematics, physics, engineering and other fields, and have made important contributions to the development of modern science and technology.
Second, the basic concepts of algebraic geometry
Algebraic geometry is a branch of mathematics, which studies the relationship between algebraic equations and geometric figures. In algebraic geometry, we usually use algebraic equations to describe geometric figures. These algebraic equations can be polynomial equations, rational function equations, differential equations and so on.
Algebraic geometry mainly studies algebraic clusters. Algebraic cluster is a set of polynomial equations and a generalized geometric figure. In algebraic geometry, we usually use algebraic clusters to describe geometric figures, which can be plane curves, surfaces, high-dimensional manifolds and so on.
Third, Ahmadoff's contribution to algebraic geometry.
Ahmadoff's contribution to algebraic geometry is mainly reflected in the following aspects:
1. Created a new branch of algebraic geometry.
Ahmadov discovered a new algebraic geometry method, that is, to study the geometric properties of algebraic clusters through the invariants of algebraic equations. This method is called "invariant theory", which opens up a new way for the development of algebraic geometry.
2. Found the general theory of algebraic curve.
Ahmadoff discovered the general theory of algebraic curve, that is, any algebraic curve can be expressed by rational function equation. This theory provides an important foundation for the development of algebraic geometry.
3. Propose the classification method of algebraic clusters.
Ahmadov put forward the classification method of algebraic clusters, that is, according to the invariants of algebraic clusters, they are divided into different categories. This method provides a powerful tool for the study of algebraic geometry.