integrobmenon

Integrobmenon is a term used in the field of mathematics, specifically in the study of algebraic geometry, to describe a certain type of geometric structure. It is a generalization of the concept of a manifold, which is a topological space that locally resembles Euclidean space. An integrobmenon is a space that is locally modeled on a more general type of space, known as a Lie groupoid.

Lie groupoids are a generalization of Lie groups, which are groups that are also smooth manifolds. A Lie groupoid consists of two manifolds, a source manifold and a target manifold, and a smooth map between them that satisfies certain properties. The integrobmenon is then defined as the space of all smooth sections of this map.

The study of integrobmenons is important in the field of algebraic geometry because it provides a way to understand the geometry of certain types of algebraic varieties. These varieties are often defined by equations that are not polynomial, but rather involve more general functions. The integrobmenon associated with such a variety can be used to study its geometry, including its singularities and its cohomology.

Integrobmenons are also related to the concept of a foliation, which is a partition of a manifold into submanifolds. The integrobmenon associated with a foliation is the space of all smooth sections of the foliation, which can be used to study the geometry of the foliation.