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Characterizations of quadric and Hermitian Veroneseans over finite fields
| Content Provider | Semantic Scholar |
|---|---|
| Author | Thas, Joseph A. Maldeghem, Hendrik Van |
| Copyright Year | 2003 |
| Abstract | Abstract. In Hirschfeld and Thas [5] the most important characterizations of quadric Veroneseans are surveyed. However a few difficult cases were still open, in particular the even case. In [10, 11] Thas and Van Maldeghem not only solve all open cases, but they also generalize most of these characterizations in several ways: they do not restrict themselves to the quadric Veronesean of the plane PG $(2,q) $, they allow ovals instead of conics, and they also characterize projections of quadric Veroneseans. Further, Cooperstein, Thas and Van Maldeghem [1] contains some properties of Hermitian Veroneseans over finite fields and also these varieties and some of their projections are characterized. All these results on Veroneseans will be surveyed here. |
| Starting Page | 282 |
| Ending Page | 293 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00022-003-1703-1 |
| Volume Number | 76 |
| Alternate Webpage(s) | https://cage.ugent.be/~hvm/artikels/120.pdf |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s00022-003-1703-1 |
| Alternate Webpage(s) | https://doi.org/10.1007/s00022-003-1703-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
