Maximal slope of tensor product of Hermitian vector bundles
| dc.creator | Chen, Huayi | |
| dc.date | 2007-06-05 | |
| dc.date | 2008-01-02 | |
| dc.date.accessioned | 2026-07-07T08:51:41Z | |
| dc.date.available | 2026-07-07T08:51:41Z | |
| dc.description | We give an upper bound for the maximal slope of the tensor product of several non-zero Hermitian vector bundles on the spectrum of an algebraic integer ring. By Minkowski's theorem, we need to estimate the Arakelov degree of an arbitrary Hermitian line subbundle $\bar M$ of the tensor product. In the case where the generic fiber of $M$ is semistable in the sense of geometric invariant theory, the estimation is established by constructing, through the classical invariant theory, a special polynomial which does not vanish on the generic fibre of $M$. Otherwise we use an explicte version of a result of Ramanan and Ramanathan to reduce the general case to the former one. | |
| dc.identifier | https://arxiv.org/abs/0706.0690 | |
| dc.identifier | http://arxiv.org/abs/0706.0690 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145019 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Maximal slope of tensor product of Hermitian vector bundles | |
| dc.type | text |