Details
| Original language | English |
|---|---|
| Pages (from-to) | 428-476 |
| Number of pages | 49 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | 110 |
| Issue number | 2 |
| Publication status | Published - 2015 |
Abstract
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In: Proceedings of the London Mathematical Society, Vol. 110, No. 2, 2015, p. 428-476.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Picard numbers of quintic surfaces
AU - Schütt, Matthias
N1 - Funding information: Received 9 February 2014; revised 29 July 2014; published online 14 November 2014. 2010 Mathematics Subject Classification 14J29 (primary) 14G10, 14J27, 14J28 (secondary). This research was funded by ERC StG 279723 (SURFARI) which is gratefully acknowledged.
PY - 2015
Y1 - 2015
N2 - We solve the Picard number problem for complex quintic surfaces by proving that every number between 1 and 45 occurs as Picard number of a quintic surface over the rationals. Our main technique consists in arithmetic deformations of Delsarte surfaces, but we also use K3 surfaces and wild automorphisms.
AB - We solve the Picard number problem for complex quintic surfaces by proving that every number between 1 and 45 occurs as Picard number of a quintic surface over the rationals. Our main technique consists in arithmetic deformations of Delsarte surfaces, but we also use K3 surfaces and wild automorphisms.
UR - http://www.scopus.com/inward/record.url?scp=84928888959&partnerID=8YFLogxK
U2 - 10.1112/plms/pdu056
DO - 10.1112/plms/pdu056
M3 - Article
AN - SCOPUS:84928888959
VL - 110
SP - 428
EP - 476
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 0024-6115
IS - 2
ER -