This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theory that sustains the duality between algebraic geometry and commutative algebra to the noncommutative level.
This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras,...
In today's research, intrinsically noncommutative spaces are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it seems necessary to have a concept of space and its geometry that is fundamentally noncommutative. Virtual Topology and Functor Geometry presents new ideas for the development of an intrinsically noncommutative geometry. Written in an easily accessible, colloquial style, the book provides numerous suggestions for possible projects, ranging from exercise level to...
In today's research, intrinsically noncommutative spaces are considered from the perspective of several branches of modern physics, including quant...
A primer of algebraic geometry. It covers affine algebraic sets and the Nullstellensatz, polynomial and rational functions, projective algebraic sets, Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more.
A primer of algebraic geometry. It covers affine algebraic sets and the Nullstellensatz, polynomial and rational functions, projective algebraic sets,...
