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Chern classes of vector bundles on arithmetic varieties.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Nakashima, Tohru Takeda, Yuichiro |
| Copyright Year | 1996 |
| Abstract | Let F be a Hermitian vector bundle on an arithmetic variety X over Z. We prove an inequality between the L2-norm of an element in Hι{X, Fy) and arithmetic Chern classes of F under certain stability condition. This is a higher dimensional analogue of a result of C. Soule for Hermitian line bundles on arithmetic surfaces. We observe that our result is related to a conjectural inequality of Miyaoka-Yau type. |
| Starting Page | 205 |
| Ending Page | 216 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.2140/pjm.1996.176.205 |
| Volume Number | 176 |
| Alternate Webpage(s) | https://msp.org/pjm/1996/176-1/pjm-v176-n1-p11-p.pdf |
| Alternate Webpage(s) | https://msp.org/pjm/1996/176-1/pjm-v176-n1-p11-s.pdf |
| Alternate Webpage(s) | https://doi.org/10.2140/pjm.1996.176.205 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
