Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 555-582 |
| Seitenumfang | 28 |
| Fachzeitschrift | Asian Journal of Mathematics |
| Jahrgang | 19 |
| Ausgabenummer | 3 |
| Publikationsstatus | Veröffentlicht - 2015 |
Abstract
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Mathematik (insg.)
- Angewandte Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Asian Journal of Mathematics, Jahrgang 19, Nr. 3, 2015, S. 555-582.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with artin invariant 1
AU - Elkies, Noam D.
AU - Schütt, Matthias
PY - 2015
Y1 - 2015
N2 - The supersingular K3 surface X in characteristic 2 with Artin invariant 1 admits several genus 1 fibrations (elliptic and quasi-elliptic). We use a bijection between fibrations and definite even lattices of rank 20 and discriminant 4 to classify the fibrations, and exhibit isomorphisms between the resulting models of X. We also study a configuration of (-2)-curves on X related to the incidence graph of points and lines of IP^2(IF_4).
AB - The supersingular K3 surface X in characteristic 2 with Artin invariant 1 admits several genus 1 fibrations (elliptic and quasi-elliptic). We use a bijection between fibrations and definite even lattices of rank 20 and discriminant 4 to classify the fibrations, and exhibit isomorphisms between the resulting models of X. We also study a configuration of (-2)-curves on X related to the incidence graph of points and lines of IP^2(IF_4).
KW - Elliptic fibration
KW - K3 surface
KW - Quasi-elliptic
KW - Supersingular
UR - http://www.scopus.com/inward/record.url?scp=84944572595&partnerID=8YFLogxK
U2 - 10.4310/ajm.2015.v19.n3.a7
DO - 10.4310/ajm.2015.v19.n3.a7
M3 - Article
AN - SCOPUS:84944572595
VL - 19
SP - 555
EP - 582
JO - Asian Journal of Mathematics
JF - Asian Journal of Mathematics
SN - 1093-6106
IS - 3
ER -