Mathematics – Algebraic Geometry
Scientific paper
2000-03-28
Mathematics
Algebraic Geometry
13 pages, LaTeX2e
Scientific paper
We prove the arithmetic Hodge index and hard Lefschetz conjectures for the
Grassmannian $G=G(2,N)$ parametrizing lines in projective space, for the
natural arithmetic Lefschetz operator defined via the Pl\"ucker embedding of
$G$ in projective space. The analysis of the Hodge index inequalities involves
estimates on certain Racah polynomials.
Kresch Andrew
Tamvakis Harry
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