Details
| Original language | English |
|---|---|
| Pages (from-to) | 609-652 |
| Number of pages | 44 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 37 |
| Issue number | 2 |
| Publication status | Published - 2007 |
| Externally published | Yes |
Abstract
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In: Rocky Mountain Journal of Mathematics, Vol. 37, No. 2, 2007, p. 609-652.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Elliptic fibrations of some extremal K3 surfaces
AU - Schütt, Matthias
PY - 2007
Y1 - 2007
N2 - This paper is concerned with the construction of extremal elliptic K3 surfaces. It gives a complete treatment of those fibrations which can be derived from rational elliptic surfaces by easy manipulations of their Weierstrass equations. In particular, this approach enables us to find explicit equations for 38 semi-stable extremal elliptic K3 fibrations, 32 of which are indeed defined over Q. They are realized as pullback of non semi-stable extremal rational elliptic surfaces via base change. This is related to the work of J. Top and N. Yui which exhibited the same procedure for the semi-stable extremal rational elliptic surfaces.
AB - This paper is concerned with the construction of extremal elliptic K3 surfaces. It gives a complete treatment of those fibrations which can be derived from rational elliptic surfaces by easy manipulations of their Weierstrass equations. In particular, this approach enables us to find explicit equations for 38 semi-stable extremal elliptic K3 fibrations, 32 of which are indeed defined over Q. They are realized as pullback of non semi-stable extremal rational elliptic surfaces via base change. This is related to the work of J. Top and N. Yui which exhibited the same procedure for the semi-stable extremal rational elliptic surfaces.
KW - extremal K3 surfaces
KW - Elliptic fibrations
UR - http://www.scopus.com/inward/record.url?scp=34547473013&partnerID=8YFLogxK
UR - https://arxiv.org/abs/math/0412049
U2 - 10.1216/rmjm/1181068770
DO - 10.1216/rmjm/1181068770
M3 - Article
AN - SCOPUS:34547473013
VL - 37
SP - 609
EP - 652
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
SN - 0035-7596
IS - 2
ER -