LATTICE POINTS OF DILATIONS OF THE STANDARD 2-SIMPLEX AND THE GRASSMANNIAN Gr(2,n)
ON THE LATTICE POINTS OF DILATIONS
The connection between the combinatorics of the lattice points of the dilation r∆2 of the standard 2-simplex ∆2 and the cohomology ring of the Grasmmannian Gr(2, r+2) is explored. Specifically, two important refinements of the Ehrhart polynomial
are realized from this connection. One of the refinements interprets the Poincar´epolynomial P(Gr(2, r + 2), z) as the number of lattice points on each of the slicing lines of r∆2 with respect to a fixed weight.
How to Cite
Adeyemo, D. P. (2022). LATTICE POINTS OF DILATIONS OF THE STANDARD 2-SIMPLEX AND THE GRASSMANNIAN Gr(2,n): ON THE LATTICE POINTS OF DILATIONS. Journal of the Nigerian Mathematical Society, 41(3), 235–244. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/880
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