Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials
Algebraic Geometry
2007-05-23 v1
Abstract
We prove the arithmetic Hodge index and hard Lefschetz conjectures for the Grassmannian parametrizing lines in projective space, for the natural arithmetic Lefschetz operator defined via the Pl\"ucker embedding of in projective space. The analysis of the Hodge index inequalities involves estimates on certain Racah polynomials.
Cite
@article{arxiv.math/0003193,
title = {Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials},
author = {Andrew Kresch and Harry Tamvakis},
journal= {arXiv preprint arXiv:math/0003193},
year = {2007}
}
Comments
13 pages, LaTeX2e