TY - JOUR
AU - Adeyemo, Dr. Praise
PY - 2022/12/27
Y2 - 2023/12/02
TI - LATTICE POINTS OF DILATIONS OF THE STANDARD 2-SIMPLEX AND THE GRASSMANNIAN Gr(2,n): ON THE LATTICE POINTS OF DILATIONS
JF - Journal of the Nigerian Mathematical Society
JA - JNMS
VL - 41
IS - 3
SE - Articles
DO -
UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/880
SP - 235 - 244
AB - <p>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<br>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.<br><br><br><br></p>
ER -