Details
| Original language | English |
|---|---|
| Pages (from-to) | 859-890 |
| Number of pages | 32 |
| Journal | Annali della Scuola Normale - Classe di Scienze |
| Volume | 20 |
| Issue number | 3 |
| Publication status | Published - 11 Sept 2020 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Annali della Scuola Normale - Classe di Scienze, Vol. 20, No. 3, 11.09.2020, p. 859-890.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Counting lines on surfaces, especially quintics
AU - Rams, Sławomir
AU - Schütt, Matthias
N1 - Funding Information: Research partially supported by the National Science Centre, Poland, Opus grant no. 2017/25/B/ST1/00853 (S. Rams) and by ERC StG 279723 (SURFARI) (M. Schütt). Received April 25, 2018; accepted in revised form September 04, 2018. Published online September 2020.
PY - 2020/9/11
Y1 - 2020/9/11
N2 - We introduce certain rational functions on a smooth projective surface X in IP^3 which facilitate counting the lines on X. We apply this to smooth quintics in characteristic zero to prove that they contain no more than 127 lines, and that any given line meets at most 28 others. We construct examples which demonstrate that the latter bound is sharp.
AB - We introduce certain rational functions on a smooth projective surface X in IP^3 which facilitate counting the lines on X. We apply this to smooth quintics in characteristic zero to prove that they contain no more than 127 lines, and that any given line meets at most 28 others. We construct examples which demonstrate that the latter bound is sharp.
KW - math.AG
UR - http://www.scopus.com/inward/record.url?scp=85106167330&partnerID=8YFLogxK
U2 - 10.2422/2036-2145.201804_024
DO - 10.2422/2036-2145.201804_024
M3 - Article
VL - 20
SP - 859
EP - 890
JO - Annali della Scuola Normale - Classe di Scienze
JF - Annali della Scuola Normale - Classe di Scienze
SN - 0391-173X
IS - 3
ER -