On the Lefschetz Standard Conjecture
| dc.creator | Ramón-Marí, José J. | |
| dc.date | 2007-03-01 | |
| dc.date.accessioned | 2026-07-07T07:49:33Z | |
| dc.date.available | 2026-07-07T07:49:33Z | |
| dc.description | The subject of the present paper is Grothendieck's Lefschetz standard conjecture $B(X)$. Our main result is that, if $X$ is a projective smooth variety of dimension $n$ and the conjecture $B({\cal Y})$ holds for the generic fibre ${\cal Y}$ (of dimension $n-1$ over the field $k(t)$) of a suitable Lefschetz fibration of $X$, then the operator $Λ_X-p^{n+1}_X$ is algebraic. If in addition $p^{n+1}_X$ is algebraic, then $B(X)$ is settled. Along the way we establish the algebraicity of the K\" unneth projectors $π^i_X$ for $i\neq n-1, n, n+1$ under the above hypotheses. | |
| dc.identifier | https://arxiv.org/abs/math/0703005 | |
| dc.identifier | http://arxiv.org/abs/math/0703005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124891 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the Lefschetz Standard Conjecture | |
| dc.type | text |