Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials

Andrew Kresch; Harry Tamvakis

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arXiv · math/0003193

Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials

Andrew Kresch·Harry Tamvakis

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Abstract

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 Plücker embedding of $G$ in projective space. The analysis of the Hodge index inequalities involves estimates on certain Racah polynomials.

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BibTeX RIS

Andrew Kresch, Harry Tamvakis. 2000-03-28. Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials. https://arxiv.org/abs/math/0003193

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