Kresch, A; Tamvakis, H (2001). Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials. Duke Mathematical Journal, 110(2):359-376.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 23 Jan 2022 14:40 |
| Publisher: | Duke University Press |
| ISSN: | 0012-7094 |
| Additional Information: | 2001 © Duke University Press |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1215/S0012-7094-01-11027-2 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1865245 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1072.14514 |
Kresch, A