Grassmannian Gr(2,4) Plücker relation: p_12*p_34 - p_13*p_24 + p_14*p_23 = 0 in P^5

Grassmannian-embedding Plücker-relation framework. Setup: the Grassmannian Gr(k, n) parametrizes k-dimensional subspaces of an n-dimensional vector space C^n. Via the Plücker embedding Pl: Gr(k, n) -> P^{C(n,k) - 1}, each subspace…