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On the Shape of projective plane algebraic Curves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Campo, Norbert A’ |
| Copyright Year | 1995 |
| Abstract | In this paper, a metric curve is a projective plane algebraic curve with the induced metric from the standard Study-Fubini metric on P. In [B] Fedor A. Bogomolov proved that there is no finite upper bound for the diameter of metric curves. His theorem disproves a conjecture of S. Frenkel and proves a conjecture of M. Gromov. The space of curves of fixed degree is compact and hence the least upper bound diam(d) of the diameters of metric curves of degree d is a real number. In [1] is stated that presumably diam(d) grows like log(d). The following theorem extends the result of Bogomolov: |
| Starting Page | 537 |
| Ending Page | 539 |
| Page Count | 3 |
| File Format | PDF HTM / HTML |
| DOI | 10.4310/MRL.1995.v2.n5.a2 |
| Volume Number | 2 |
| Alternate Webpage(s) | http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1995/0002/0005/MRL-1995-0002-0005-a002.pdf |
| Alternate Webpage(s) | http://www.mrlonline.org/mrl/1995-002-005/1995-002-005-002.pdf |
| Alternate Webpage(s) | https://doi.org/10.4310/MRL.1995.v2.n5.a2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
