# Questions tagged [schubert-calculus]

Schubert calculus is the study of flag varieties, which are quotients of algebraic groups (usually complex semisimple, but sometimes over the real numbers or even finite fields) by parabolic subgroups.

86 questions
Filter by
Sorted by
Tagged with
18 views

### Transversality of three flags

Assume that $V_1 \subset \cdots \subset V_n$, $V'_1 \subset \cdots \subset V'_n$ and $V''_1 \subset \cdots \subset V''_n$ are three flags in an $n-$ dimensional vector space that are transverse. My ...
• 574
27 views

• 4,767
131 views

• 4,016
706 views

### Understanding the cohomology ring of the Grassmannian

Some background first: I'm trying to understand the solution of some enumerative geometry problems, such as proving that a smooth cubic contains $27$ lines. I know that this becomes easier once one ...
171 views

### Betti numbers for the isotropic grassmannian

I want to know if there is some type of combinatorial formula for computing the Betti numbers of the isotropic grassmannian $IG(r,2n)$ for $r\leq n$. I'm thinking of this as the homogenous space $G/P$...
When it comes to defining a general plane with respect to a line in $\mathbb R^3$, I can think of this definition as: take any plane not containing the line. Reading Fulton's "Young Tableau" I can't ...