Details
| Original language | English |
|---|---|
| Pages (from-to) | 195-230 |
| Number of pages | 36 |
| Journal | Algebra and Number Theory |
| Volume | 6 |
| Issue number | 2 |
| Publication status | Published - 24 Jun 2012 |
Abstract
Keywords
- Complex multiplication, Elliptic fibration, Enriques surface, Mordell-weil group, Néron-severi group, Singular K3 surface
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Algebra and Number Theory, Vol. 6, No. 2, 24.06.2012, p. 195-230.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Arithmetic of singular Enriques surfaces
AU - Hulek, Klaus
AU - Schütt, Matthias
PY - 2012/6/24
Y1 - 2012/6/24
N2 - We study the arithmetic of Enriques surfaces whose universal covers are singular K3 surfaces. If a singular K3 surface X has discriminant d, then it has a model over the ring class field d. Our main theorem is that the same holds true for any Enriques quotient of X. It is based on a study on Neron-Severi groups of singular K3 surfaces. We also comment on Galois actions on divisors of Enriques surfaces.
AB - We study the arithmetic of Enriques surfaces whose universal covers are singular K3 surfaces. If a singular K3 surface X has discriminant d, then it has a model over the ring class field d. Our main theorem is that the same holds true for any Enriques quotient of X. It is based on a study on Neron-Severi groups of singular K3 surfaces. We also comment on Galois actions on divisors of Enriques surfaces.
KW - Complex multiplication
KW - Elliptic fibration
KW - Enriques surface
KW - Mordell-weil group
KW - Néron-severi group
KW - Singular K3 surface
UR - http://www.scopus.com/inward/record.url?scp=84863477533&partnerID=8YFLogxK
U2 - 10.2140/ant.2012.6.195
DO - 10.2140/ant.2012.6.195
M3 - Article
AN - SCOPUS:84863477533
VL - 6
SP - 195
EP - 230
JO - Algebra and Number Theory
JF - Algebra and Number Theory
SN - 1937-0652
IS - 2
ER -