Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials
Kresch, Andrew ; Tamvakis, Harry
Duke Math. J., Tome 110 (2001) no. 1, p. 359-376 / Harvested from Project Euclid
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We prove the arithmetic Hodge index and hard Lefschetz conjectures for the Grassmannian 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 inequality involves estimates on values of certain Racah polynomials.
Publié le : 2001-11-01
Classification:  14G40,  14C17,  14M15,  33C45 
@article{1087574861,
     author = {Kresch, Andrew and Tamvakis, Harry},
     title = {Standard conjectures for the arithmetic Grassmannian
G(2,N) and Racah polynomials},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 359-376},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087574861}
}

Kresch, Andrew; Tamvakis, Harry. Standard conjectures for the arithmetic Grassmannian
G(2,N) and Racah polynomials. Duke Math. J., Tome 110 (2001) no. 1, pp.  359-376. http://gdmltest.u-ga.fr/item/1087574861/