On Euler Characteristic of equivariant sheaves
| dc.creator | Braverman, Alexander | |
| dc.date | 2002-02-18 | |
| dc.date.accessioned | 2026-07-07T04:46:31Z | |
| dc.date.available | 2026-07-07T04:46:31Z | |
| dc.description | Let $k$ be an algebraically closed field of characteristic $p>0$ and let $\ell$ be another prime number. O. Gabber and F. Loeser proved that for any algebraic torus $T$ over $k$ and any perverse $\ell$-adic sheaf $\calF$ on $T$ the Euler characteristic $χ(\calF)$ is non-negative. We conjecture that the same result holds for any perverse sheaf $\calF$ on a reductive group $G$ over $k$ which is equivariant with respect to the adjoint action. We prove the conjecture when $\calF$ is obtained by Goresky-MacPherson extension from the set of regular semi-simple elements in $G$. From this we deduce that the conjecture holds for $G$ of semi-simple rank 1. | |
| dc.identifier | https://arxiv.org/abs/math/0202165 | |
| dc.identifier | http://arxiv.org/abs/math/0202165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63359 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | On Euler Characteristic of equivariant sheaves | |
| dc.type | text |