Details
| Original language | English |
|---|---|
| Pages (from-to) | 1187-1201 |
| Number of pages | 15 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 63 |
| Issue number | 4 |
| Publication status | Published - 19 Sept 2011 |
Abstract
Keywords
- Automorphism, Delsarte surface, Picard number, Zeta function
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Journal of the Mathematical Society of Japan, Vol. 63, No. 4, 19.09.2011, p. 1187-1201.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quintic surfaces with maximum and other Picard numbers
AU - Schütt, Matthias
PY - 2011/9/19
Y1 - 2011/9/19
N2 - This paper investigates the Picard numbers of quintic surfaces. We give the first example of a complex quintic surface in P3 with maximum Picard number ρ = 45. We also investigate its arithmetic and determine the zeta function. Similar techniques are applied to produce quintic surfaces with several other Picard numbers that have not been achieved before.
AB - This paper investigates the Picard numbers of quintic surfaces. We give the first example of a complex quintic surface in P3 with maximum Picard number ρ = 45. We also investigate its arithmetic and determine the zeta function. Similar techniques are applied to produce quintic surfaces with several other Picard numbers that have not been achieved before.
KW - Automorphism
KW - Delsarte surface
KW - Picard number
KW - Zeta function
UR - http://www.scopus.com/inward/record.url?scp=82255169318&partnerID=8YFLogxK
UR - https://arxiv.org/abs/0812.3519
U2 - 10.2969/jmsj/06341187
DO - 10.2969/jmsj/06341187
M3 - Article
AN - SCOPUS:82255169318
VL - 63
SP - 1187
EP - 1201
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 4
ER -