A generalization of curve genus for ample vector bundles, I
| dc.creator | Ishihara, Hironobu | |
| dc.date | 1997-09-22 | |
| dc.date.accessioned | 2026-07-07T09:07:26Z | |
| dc.date.available | 2026-07-07T09:07:26Z | |
| dc.description | A new genus $g=g(X,\ce)$ is defined for the pairs $(X,\ce)$ that consist of $n$-dimensional compact complex manifolds $X$ and ample vector bundles $\ce$ of rank $r$ less than $n$ on $X$. In case $r=n-1$, $g$ is equal to curve genus. Above pairs $(X,\ce)$ with $g$ less than two are classified. For spanned $\ce$ it is shown that $g$ is greater than or equal to the irregularity of $X$, and its equality condition is given. | |
| dc.description | AMS-TeX v2.1, 8 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709024 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150372 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (Primary) 14C20, 14F05, 14J40 (Secondary) | |
| dc.title | A generalization of curve genus for ample vector bundles, I | |
| dc.type | text |