Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 941-951 |
| Seitenumfang | 11 |
| Fachzeitschrift | Quarterly Journal of Mathematics |
| Jahrgang | 66 |
| Ausgabenummer | 3 |
| Publikationsstatus | Veröffentlicht - 2 Juni 2015 |
Abstract
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in: Quarterly Journal of Mathematics, Jahrgang 66, Nr. 3, 02.06.2015, S. 941-951.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - 112 lines on smooth quartic surfaces (characteristic 3)
AU - Rams, Sławomir
AU - Schütt, Matthias
PY - 2015/6/2
Y1 - 2015/6/2
N2 - Over a field k of characteristic 3, we prove that there are no smooth quartic surfaces S in IP^3 with more than 112 lines. Moreover, the surface with 112 lines is projectively equivalent over k-bar to the Fermat quartic. As a key ingredient, we derive a characteristic free upper bound for the number of lines met by a quadric on a smooth quartic surface.
AB - Over a field k of characteristic 3, we prove that there are no smooth quartic surfaces S in IP^3 with more than 112 lines. Moreover, the surface with 112 lines is projectively equivalent over k-bar to the Fermat quartic. As a key ingredient, we derive a characteristic free upper bound for the number of lines met by a quadric on a smooth quartic surface.
UR - http://www.scopus.com/inward/record.url?scp=84941205434&partnerID=8YFLogxK
U2 - 10.1093/qmath/hav018
DO - 10.1093/qmath/hav018
M3 - Article
AN - SCOPUS:84941205434
VL - 66
SP - 941
EP - 951
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
SN - 0033-5606
IS - 3
ER -