Higher dimensional examples of manifolds whose adjoint bundles are not spanned
| dc.creator | Kawachi, Takeshi | |
| dc.date | 1996-03-28 | |
| dc.date.accessioned | 2026-07-07T09:06:45Z | |
| dc.date.available | 2026-07-07T09:06:45Z | |
| dc.description | Let $(X,L)$ be an $n$-dimensional polarized variety. Fujita's conjecture says that if $L^n>1$ then the adjoint bundle $K_X+nL$ is spanned and $K_X+(n+1)L$ is very ample. There are some examples such that $K_X+nL$ is not spanned or $K_X+(n+1)L$ is not very ample. These are $(¶^n,Ø(1))$, hypersurface $M$ of degree $6$ in weighted projective space $¶(3,2,1,1,\cdots ,1)$ with $Ø_M(1)$ and numerically Godeaux surface etc. Numerically Godeaux surface is the quotient space of a Fermat type hypersurface of degree $5$ in $¶^3$ by an action of order $5$. These examples are not so much. We construct new examples for any dimention. | |
| dc.description | TeX-Type: AmS-TeX 2.1, 6 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9603023 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9603023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150128 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Higher dimensional examples of manifolds whose adjoint bundles are not spanned | |
| dc.type | text |