Classifies cohomology classes realized by irreducible subvarieties in Grassmannians, indicating geometric connections.
Key Points
This research aims to classify cohomology classes of Grassmannians that can be realized by irreducible subvarieties in specific dimensions and codimensions.
Classified cohomology classes in Grassmannians $G(2,n)$ for $n \leq 6$ and $G(3,6)$.
Focused on dimensions 2 and 3 with codimensions 2 and 3.
Completed classification of realizable cohomology classes in dimensions 2 and 3.
Identified all classes up to positive multiples that can be represented by irreducible subvarieties.