Details
| Original language | English |
|---|---|
| Pages (from-to) | 76-95 |
| Number of pages | 20 |
| Journal | Nagoya mathematical journal |
| Volume | 232 |
| Early online date | 31 May 2017 |
| Publication status | Published - Dec 2018 |
Abstract
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In: Nagoya mathematical journal, Vol. 232, 12.2018, p. 76-95.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - At most 64 lines on smooth quartic surfaces (characteristic 2)
AU - Rams, Sławomir
AU - Schütt, Matthias
N1 - Funding information: Rams was partially supported by National Science Centre, Poland, grant 2014/15/B/ST1/02197. Schütt gratefully acknowledges funding by European Research Council under StG 279723 (SURFARI).
PY - 2018/12
Y1 - 2018/12
N2 - Let be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces S ⊂ ℙ3 k with more than 64 lines (predating work of Degtyarev which improves this bound to 60). We also exhibit a smooth quartic containing 60 lines which thus attains the record in characteristic.
AB - Let be a field of characteristic 2. We give a geometric proof that there are no smooth quartic surfaces S ⊂ ℙ3 k with more than 64 lines (predating work of Degtyarev which improves this bound to 60). We also exhibit a smooth quartic containing 60 lines which thus attains the record in characteristic.
UR - http://www.scopus.com/inward/record.url?scp=85060246232&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1512.01358
DO - 10.48550/arXiv.1512.01358
M3 - Article
AN - SCOPUS:85060246232
VL - 232
SP - 76
EP - 95
JO - Nagoya mathematical journal
JF - Nagoya mathematical journal
SN - 0027-7630
ER -