Details
| Original language | English |
|---|---|
| Pages (from-to) | 735-756 |
| Number of pages | 22 |
| Journal | Advances in geometry |
| Volume | 14 |
| Issue number | 4 |
| Publication status | Published - 1 Oct 2014 |
Abstract
Keywords
- elliptic fibration, K3 surface, Line, quartic
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In: Advances in geometry, Vol. 14, No. 4, 01.10.2014, p. 735-756.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On quartics with lines of the second kind
AU - Rams, Sławomir
AU - Schütt, Matthias
N1 - Funding information: ?Funding by ERC StG 279723 (SURFARI) and NCN grant no. N N201 608040 (S. Rams) is gratefully acknowledged.
PY - 2014/10/1
Y1 - 2014/10/1
N2 - We study the geometry of quartic surfaces in P3 that contain a line of the second kind over algebraically closed fields of characteristic different from 2; 3. In particular, we correct Segre's claims made for the complex case in 1943.
AB - We study the geometry of quartic surfaces in P3 that contain a line of the second kind over algebraically closed fields of characteristic different from 2; 3. In particular, we correct Segre's claims made for the complex case in 1943.
KW - elliptic fibration
KW - K3 surface
KW - Line
KW - quartic
UR - http://www.scopus.com/inward/record.url?scp=84908086742&partnerID=8YFLogxK
U2 - 10.1515/advgeom-2014-0018
DO - 10.1515/advgeom-2014-0018
M3 - Article
AN - SCOPUS:84908086742
VL - 14
SP - 735
EP - 756
JO - Advances in geometry
JF - Advances in geometry
SN - 1615-715X
IS - 4
ER -