Abstract
Let be an isotropic Grassmannian of type , , or . In this paper we calculate -theoretic Pieri-type triple intersection numbers for : that is, the sheaf Euler characteristic of the triple intersection of two arbitrary Schubert varieties and a special Schubert variety in general position. We do this by determining explicit equations for the projected Richardson variety corresponding to the two arbitrary Schubert varieties, and show that it is a complete intersection in projective space. The -theoretic Pieri coefficients are alternating sums of these triple intersection numbers, and we hope they will lead to positive Pieri formulas for isotropic Grassmannians.
Citation
Vijay Ravikumar. "Triple intersection formulas for isotropic Grassmannians." Algebra Number Theory 9 (3) 681 - 723, 2015. https://doi.org/10.2140/ant.2015.9.681
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